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TWI717797B - Totem forming system, method, equipment, product and computer readable storage device - Google Patents

Totem forming system, method, equipment, product and computer readable storage device Download PDF

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TWI717797B
TWI717797B TW108127669A TW108127669A TWI717797B TW I717797 B TWI717797 B TW I717797B TW 108127669 A TW108127669 A TW 108127669A TW 108127669 A TW108127669 A TW 108127669A TW I717797 B TWI717797 B TW I717797B
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parameter
totem
formula
forming system
calculation
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TW202107414A (en
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曹文峰
陳之昀
林芯羽
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曹文峰
陳之昀
林芯羽
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Abstract

本發明有關於一種圖騰形成系統,至少包含:一設定模組、一計算模組、一圖形生成模組以及一填色模組,以系統化的方式建立具有對稱及美觀色彩的圖騰之一種圖騰形成系統。本發明提供一種使用圖騰形成系統之圖騰形成方法,藉以形成圖騰,另外提供一種圖騰形成設備係使用圖騰形成系統;以及另外提供一種圖騰產品,該圖騰產品係具有圖騰形成系統之該圖騰,且另外提供一種電腦可讀取儲存裝置係包含圖騰形成系統。其中,藉由圖騰形成系統製作具對稱美感之圖騰可應用於日常生活中的各種物品,使人們透過視覺上的感受,進而產生平靜舒服之感覺。The present invention relates to a totem formation system, which at least includes: a setting module, a calculation module, a graphic generation module, and a coloring module, a totem with symmetrical and beautiful colors is established in a systematic manner Form a system. The present invention provides a totem forming method using a totem forming system, whereby a totem is formed, and a totem forming device using a totem forming system; and a totem product is provided with the totem of the totem forming system, and in addition Provided is a computer readable storage device including a totem forming system. Among them, totems with symmetrical beauty produced by the totem formation system can be applied to various items in daily life, so that people can feel calm and comfortable through visual experience.

Description

圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置Totem forming system, method, equipment, product and computer readable storage device

本發明係有關於一種圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置,特別是指一種能夠結合設定模組、計算模組、圖形生成模組以及填色模組,以系統化的方式建立具有對稱及美觀色彩的圖騰之一種圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置。The present invention relates to a totem forming system, method, equipment, product, and computer readable storage device, in particular to a totem forming system, a calculation module, a graphics generation module, and a coloring module that can be combined with a system A totem formation system, method, equipment, product, and computer readable storage device are used to create a totem with symmetrical and beautiful colors.

按,從古典到現代建築、雕刻繪畫、美術創作甚至到動植物都有著左右對稱之型態,從中包含許多有形或無形的對稱美感,在人類行為當中,人們通常對於對稱圖形有喜好的傾向,而在心理學中,對稱美感是最容易讓人感到平靜並且有穩定情緒及帶給安定感之美的形式。According to, from classical to modern architecture, sculpture and painting, art creation and even animals and plants, there are symmetrical forms, which contain many tangible or intangible symmetrical beauty. In human behavior, people usually have a preference for symmetrical graphics. In psychology, symmetrical beauty is the easiest form to make people feel calm and stable, and to bring a sense of stability.

一般所謂的對稱是指上下或左右具有相同的形態,無論是左右對稱還是輻射對稱,不管其形態如何,只要構成對稱平衡,就會讓人在視覺上感到舒服。而傳統中,具有對稱美感之圖騰造型飾品,例如:圍巾、衣服等之圖騰的製作往往需要花費相當多的工夫製作,不僅耗時費力也必須消耗許多精神設計圖騰,再者,若是需要設計大量複雜的對稱型態之圖騰,手工製作時間往往以曠日廢時。In general, the so-called symmetry refers to the same shape up and down or left and right, whether it is left-right symmetry or radial symmetry, regardless of its shape, as long as it constitutes a symmetrical balance, it will make people feel comfortable visually. Traditionally, totem-shaped accessories with symmetrical beauty, such as scarves, clothes, etc., often require a lot of time and effort to make totems, which not only consumes time and effort, but also consumes a lot of spiritual design totems. Moreover, if you need to design a lot of totems The complicated symmetrical totems often waste time in hand-made totems.

因此,如何有效藉由創新的設計,提供一種能夠結合設定模組、儲存模組、計算模組、圖形生成模組以及填色模組,以系統化的方式建立具有對稱及美觀色彩的圖騰,仍是圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置等相關產業開發業者與相關研究人員需持續努力克服與解決之課題。Therefore, how to effectively use innovative design to provide a totem that can combine setting modules, storage modules, calculation modules, graphics generation modules, and coloring modules to create a totem with symmetrical and beautiful colors in a systematic way. It is still a problem that related industry developers and related researchers such as totem formation systems, methods and equipment, products, and computer-readable storage devices need to continuously strive to overcome and solve.

有鑑於此,發明人即是鑑於圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置於實際實施時仍存在諸多創新與改進之處,藉由其豐富之專業知識及實務經驗所輔佐,而加以改善,並據此研創出本發明。In view of this, the inventor is in view of the fact that there are still many innovations and improvements in the actual implementation of the totem formation system, method and equipment, products, and computer readable storage device. With his rich professional knowledge and practical experience, To assist and improve, and based on this research and creation of the present invention.

本發明之主要目的即在於提供一種圖騰形成系統,一種圖騰形成系統,至少包含:The main purpose of the present invention is to provide a totem formation system, a totem formation system, at least including:

一設定模組,用於設定一第一參數、一第二參數以及一第三參數,其中,該第一參數與第三參數為自然數,該第二參數為質數;A setting module for setting a first parameter, a second parameter and a third parameter, wherein the first parameter and the third parameter are natural numbers, and the second parameter is a prime number;

一計算模組,讀取該第一參數、該第二參數以及該第三參數,並代入一計算公式組,藉以計算出複數個數值;A calculation module reads the first parameter, the second parameter, and the third parameter, and substitutes them into a calculation formula group to calculate a plurality of values;

一圖形生成模組,依據該第一參數、該第二參數以及該第三參數用以決定一巴斯卡正方形之大小,且該複數個數值依照一巴斯卡正方形原理填入至該巴斯卡正方形;以及A graphic generation module is used to determine the size of a Pascal square according to the first parameter, the second parameter and the third parameter, and the plurality of values are filled into the Pascal square according to the principle of a Pascal square Card square; and

一填色模組,用以決定每一該數值對應一顏色單元,該顏色單元填色於該巴斯卡正方形,藉以形成一圖騰。A coloring module is used to determine that each value corresponds to a color unit, and the color unit is filled in the Pascal square to form a totem.

依據上述技術特徵所述之圖騰形成系統,該計算公式組係一第一公式,該第一公式為:若

Figure 02_image001
Figure 02_image003
時,
Figure 02_image005
Figure 02_image007
,其中,該設定模組更包含一第四參數,該第四參數為自然數與0,該計算模組更讀取該第四參數,mod p運算則為以後項之該第二參數作為前項之值的除數以取餘數之模數運算,
Figure 02_image009
p-2個該第二參數中取 k個該第四參數出來之組合數。 According to the totem formation system described in the above technical features, the calculation formula is a first formula, and the first formula is:
Figure 02_image001
,
Figure 02_image003
Time,
Figure 02_image005
,
Figure 02_image007
, Wherein, the setting module further includes a fourth parameter, the fourth parameter is a natural number and 0, the calculation module further reads the fourth parameter, and the mod p operation is the second parameter of the following item as the previous item The divisor of the value is the modulus operation of the remainder,
Figure 02_image009
Is the number of combinations obtained by taking k of the fourth parameter out of p -2 of the second parameter.

依據上述技術特徵所述之圖騰形成系統,該計算公式組係一第二公式,該第二公式為:若

Figure 02_image001
Figure 02_image003
Figure 02_image011
,其中
Figure 02_image013
Figure 02_image015
Figure 02_image017
,其中,該設定模組更包含一第四參數、一第五參數以及一第六參數,該第四參數、該第五參數以及第六參數為自然數與0,該計算模組更讀取該第四參數與該第五參數以及該第六參數,mod p運算則為以後項之該第二參數作為前項之值的除數以取餘數之模數運算, Cn in個該第一參數中取 i個該第五參數出來之組合數。 According to the totem formation system described in the above technical features, the calculation formula is a second formula, and the second formula is:
Figure 02_image001
,
Figure 02_image003
Time
Figure 02_image011
,among them
Figure 02_image013
,
Figure 02_image015
,
Figure 02_image017
, Wherein the setting module further includes a fourth parameter, a fifth parameter, and a sixth parameter. The fourth parameter, the fifth parameter, and the sixth parameter are natural numbers and 0, and the calculation module reads For the fourth parameter, the fifth parameter and the sixth parameter, the mod p operation is the second parameter of the following item as the divisor of the value of the previous item, and the modulus operation of taking the remainder, Cn i is n of the first Take the number of i combinations from the fifth parameter among the parameters.

依據上述技術特徵所述之圖騰形成系統,該計算公式組係一第三公式,該第三公式為:若

Figure 02_image019
Figure 02_image021
Figure 02_image023
Figure 02_image025
,其中,該第三參數為奇數,該設定模組更包含一第四參數,該第四參數為自然數與0,該計算模組更讀取該第四參數,mod p運算則為以後項之該第二參數作為前項之值的除數以取餘數之模數運算, Cn kn個該第一參數中取 k個該第四參數出來的組合數。 According to the totem formation system described in the above technical features, the calculation formula is a third formula, and the third formula is:
Figure 02_image019
,
Figure 02_image021
Time
Figure 02_image023
,
Figure 02_image025
, Where the third parameter is an odd number, the setting module further includes a fourth parameter, the fourth parameter is a natural number and 0, the calculation module further reads the fourth parameter, and the mod p operation is the following item The second parameter is used as the divisor of the value of the previous term to take the modulus operation of the remainder, and Cn k is the number of combinations obtained by taking k of the fourth parameter from the n first parameters.

依據上述技術特徵所述之圖騰形成系統,該計算公式組係一第四公式,該第四公式為:若

Figure 02_image019
Figure 02_image021
時,
Figure 02_image027
,其中
Figure 02_image029
Figure 02_image031
Figure 02_image033
,其中,該第三參數為奇數,該設定模組更包含一第四參數、一第五參數以及一第六參數,該第四參數、該第五參數以及第六參數為自然數與0,該計算模組更讀取該第四參數與該第五參數以及該第六參數,mod p運算則為以後項之 p值作為前項之值的除數以取餘數之模數運算, Cl-1 k-1為 l-1個該第三參數中取 k-1個該第四參數出來的組合數。 According to the totem formation system described in the above technical features, the calculation formula is a fourth formula, and the fourth formula is:
Figure 02_image019
,
Figure 02_image021
Time,
Figure 02_image027
,among them
Figure 02_image029
,
Figure 02_image031
,
Figure 02_image033
, Wherein the third parameter is an odd number, the setting module further includes a fourth parameter, a fifth parameter, and a sixth parameter, and the fourth parameter, the fifth parameter, and the sixth parameter are natural numbers and 0, The calculation module reads the fourth parameter, the fifth parameter, and the sixth parameter. The mod p operation is the modulo operation of taking the remainder of the p value of the following term as the divisor of the value of the preceding term, Cl -1 k -1 is the number of combinations obtained by taking k- 1 of the fourth parameter out of l -1 of the third parameter.

依據上述技術特徵所述之圖騰形成系統,該顏色單元係為RGB色碼表之一顏色色碼。According to the totem forming system described in the above technical features, the color unit is a color code of the RGB color code table.

依據上述技術特徵所述之圖騰形成系統,更包含一顯示單元,用以顯示該圖騰,該顯示單元係電性連接該圖騰形成系統。The totem forming system according to the above technical features further includes a display unit for displaying the totem, and the display unit is electrically connected to the totem forming system.

依據上述技術特徵所述之圖騰形成系統,該顯示單元,係為一電視機、一投影儀及一電腦顯示裝置其中一。According to the totem forming system described in the above technical features, the display unit is one of a television, a projector, and a computer display device.

依據上述技術特徵所述之圖騰形成系統,該顯示單元,係為一具有顯示功能的裝置。According to the totem forming system described in the above technical features, the display unit is a device with a display function.

此外,另外提供一種電腦可讀取儲存裝置,該電腦可讀取儲存裝置包含一如依據上述技術特徵所述之圖騰形成系統。In addition, a computer-readable storage device is provided. The computer-readable storage device includes a totem forming system as described in the above technical features.

依據上述技術特徵所述之電腦可讀取儲存裝置,該電腦可讀取儲存裝置係為磁帶、快閃記憶體卡、數位光碟(digital versatile disk,DVD)、卡匣、隨機存取記憶體(RAM)以及唯讀記憶體(ROM)其中之一。According to the computer-readable storage device described in the above technical features, the computer-readable storage device is a magnetic tape, a flash memory card, a digital versatile disk (DVD), a cassette, a random access memory ( One of RAM) and read-only memory (ROM).

並提供一種圖騰形成設備,該圖騰形成設備係使用一如依據上述技術特徵所述之圖騰形成系統。A totem forming device is also provided, which uses the totem forming system described according to the above technical features.

另外提供一種圖騰產品,該圖騰產品係具有一如依據上述技術特徵所述之圖騰形成系統之該圖騰。In addition, a totem product is provided, and the totem product has the totem of the totem forming system according to the above technical features.

此外,為了達到上述實施目的,本發明人另研擬一種使用一如依據上述技術特徵所述之圖騰形成系統之圖騰形成方法,運行於一處理器上,其中,該圖騰形成方法包含步驟:In addition, in order to achieve the above-mentioned implementation objectives, the present inventors have also developed a totem-forming method using a totem-forming system according to the above technical features, which runs on a processor, wherein the totem-forming method includes the steps:

一設定步驟,設定一第一參數、一第二參數以及一第三參數於設定模組,其中,該第一參數與第三參數為自然數,該第二圖騰參數為質數A setting step, setting a first parameter, a second parameter, and a third parameter in the setting module, wherein the first parameter and the third parameter are natural numbers, and the second totem parameter is a prime number

一計算步驟,讀取該第一參數、該第二參數以及該第三參數,並代入一計算公式組,用以計算出複數個數值;A calculation step, reading the first parameter, the second parameter, and the third parameter, and substituting them into a calculation formula group to calculate a plurality of values;

一圖形生成步驟,依據該第一參數、該第二參數以及該第三參數用以決定一巴斯卡正方形大小,且該複數個數值依照一巴斯卡正方形原理填入至該巴斯卡正方形;以及A graphic generation step is used to determine the size of a Pascal square according to the first parameter, the second parameter and the third parameter, and the plurality of values are filled into the Pascal square according to the principle of a Pascal square ;as well as

一填色步驟,用以決定每一該數值對應一顏色單元,該顏色單元填色於該巴斯卡正方形,藉以形成一圖騰。A coloring step is used to determine that each value corresponds to a color unit, and the color unit is filled in the Pascal square to form a totem.

依據上述技術特徵所述之圖騰形成方法,更包含一顯示步驟,利用一顯示單元顯示該圖騰。The method for forming a totem according to the above technical features further includes a display step, using a display unit to display the totem.

藉此,本發明之圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置主要係藉由圖騰形成系統,該圖騰形成系統包含設定模組、計算模組、圖形生成模組以及填色模組之設計,透過設定模組設定複數個圖騰參數,計算模組將該複數個參數代入計算公式組中以計算出複數個數值,並搭配圖形生成模組決定巴斯卡正方形大小以及填色模組決定每一該數值對應一顏色單元以形成一圖騰,以系統化的方式建立具有對稱及美觀色彩的圖騰,可節省人力以及精神的消耗,並縮短圖騰之製作時程。Thereby, the totem forming system, method, equipment, product, and computer readable storage device of the present invention are mainly based on the totem forming system. The totem forming system includes a setting module, a calculation module, a graphics generation module, and a filling module. In the design of the color module, a plurality of totem parameters are set through the setting module, and the calculation module substitutes the plurality of parameters into the calculation formula group to calculate a plurality of values, and cooperates with the graphic generation module to determine the size and fill of the Paska square The color module determines that each value corresponds to a color unit to form a totem, and a totem with symmetrical and beautiful colors is created in a systematic way, which can save manpower and energy consumption, and shorten the time for making the totem.

為利瞭解本發明之技術特徵、內容與優點及其所能達成之功效,茲將本發明配合附圖之表達形式詳細說明如下,而其中所使用之圖式,其主旨僅為示意及輔助說明書之用,未必為本發明實施後之真實比例與精準配置,故不應就所附之圖式的比例與配置關係解讀、侷限本發明於實際實施上的權利範圍,合先敘明。In order to understand the technical features, content and advantages of the present invention and its achievable effects, the expressions of the present invention in conjunction with the drawings are described in detail as follows, and the figures used therein are merely schematic and supplementary descriptions. The purpose is not necessarily the true ratio and precise configuration after the implementation of the present invention, so the ratio and configuration relationship of the attached drawings should not be interpreted, and the scope of rights of the present invention in actual implementation should not be interpreted, and the scope of rights of the present invention in actual implementation should be clarified first.

為了使本揭示內容的敘述更加詳盡與完備,下文針對了本發明的實施態樣與具體實施例提出了說明性的描述;但這並非實施或運用本發明具體實施例的唯一形式。In order to make the description of the present disclosure more detailed and complete, the following provides an illustrative description for the implementation aspects and specific embodiments of the present invention; but this is not the only way to implement or use the specific embodiments of the present invention.

在本揭示內容中,如第1圖所示,係本發明之圖騰形成系統之巴斯卡正方形組成圖。 一巴斯卡正方形(10)一詞是指一個大正方形(100)內含複數個中正方形(101),且每一該中正方形(101)內亦含複數個小正方形(102)而組成,其中,巴斯卡正方形(10)之大小係由一個大正方形(100)內有

Figure 02_image034
個中正方形(101),而每一該中正方形(101)內會有
Figure 02_image036
個小正方形(102),且該複數個小正方形(102)的總數共有
Figure 02_image038
個。 In the present disclosure, as shown in Figure 1, it is the Paska square composition diagram of the totem forming system of the present invention. The term Pascal Square (10) refers to a large square (100) containing a plurality of middle squares (101), and each middle square (101) also contains a plurality of small squares (102). Among them, the size of Baska square (10) is composed of a large square (100)
Figure 02_image034
A square (101), and each square (101) will have
Figure 02_image036
Small squares (102), and the total number of small squares (102) totals
Figure 02_image038
One.

在本揭示內容中,請一併參閱第2圖至第5圖所示,係本發明之圖騰形成系統之巴斯卡正方形原理示意圖(一)、巴斯卡正方形原理示意圖(二)以及巴斯卡正方形原理示意圖(三)。「巴斯卡正方形原理」一詞是藉由本發明之一種圖騰形成系統之計算模組(12)讀取設定模組(11)之各參數後,以計算出複數個數值(121),並將所得該複數個數值(121)依序由左至右填入一大正方形(100)之第一列,再將所得該複數個數值(121)依序由上至下填入該大正方形(100)之第一行,將第一行該複數個數值(121)與第一列該複數個(121)分別相乘以取得複數個相乘後之新數值,該複數個相乘後新數值再除以質數求其餘數。In this disclosure, please refer to FIGS. 2 to 5, which are the schematic diagram of the Baska square principle of the totem formation system of the present invention (1), the schematic diagram of Baska square principle (2), and the Baska Schematic diagram of card square principle (3). The term "Pascal Square Principle" is used by the calculation module (12) of a totem forming system of the present invention to read the parameters of the setting module (11) to calculate a plurality of values (121), and The obtained plural values (121) are filled in the first column of a large square (100) from left to right, and then the obtained plural values (121) are filled in the large square (100) from top to bottom. ) In the first row, multiply the plural values (121) in the first row and the plural values (121) in the first column to obtain the new value after the plural multiplication, and then the new value after the plural multiplication Divide by the prime number to find the remainder.

請一併參閱第5圖至第7圖所示,係本發明之圖騰形成系統之方塊圖(一)、圖騰形成系統之設定模組方塊圖以及圖騰形成系統之方塊圖(二)。本發明一種圖騰形成系統,至少包含:一設定模組(11)、一計算模組(12)、一圖形生成模組(13)以及一填色模組(14)。Please also refer to Figures 5 to 7, which are the block diagram of the totem forming system of the present invention (1), the block diagram of the setting module of the totem forming system, and the block diagram of the totem forming system (2). The totem forming system of the present invention at least includes: a setting module (11), a calculation module (12), a graphic generation module (13), and a coloring module (14).

該設定模組(11),用於設定一第一參數( n)、一第二參數( p)以及一第三參數( l),其中,該第一參數( n)與第三參數( l)為自然數,該第二參數( p)為質數,於實施時,使用者可設定預輸入之該第一參數( n)、該第二參數( p)以及該第三參數( l)於設定模組(11)中。 The setting module (11) is used to set a first parameter ( n ), a second parameter ( p ) and a third parameter ( l ), wherein the first parameter ( n ) and the third parameter ( l) ) Is a natural number, and the second parameter ( p ) is a prime number. During implementation, the user can set the pre-input first parameter ( n ), the second parameter ( p ), and the third parameter ( l ) in In the setting module (11).

該計算模組(12),讀取該第一參數( n)、該第二參數( p)以及該第三參數( l),並代入一計算公式組,藉以計算出複數個數值(121),其中,該計算公式組係一第一公式時,該第一公式為:若

Figure 02_image001
Figure 02_image003
時,
Figure 02_image005
Figure 02_image007
,其中,該設定模組(11)更包含一第四參數( k),該第四參數( k)為自然數與0,該計算模組(12)更讀取該第四參數( k),mod p運算則為以後項之該第二參數( p)作為前項之值的除數以取餘數之模數運算, Cp-2 kp-2個該第二參數( p)中取 k個該第四參數( k)出來之組合數。 The calculation module (12) reads the first parameter ( n ), the second parameter ( p ), and the third parameter ( l ), and substitutes them into a calculation formula group to calculate a plurality of values (121) , Where, when the calculation formula is a first formula, the first formula is: if
Figure 02_image001
,
Figure 02_image003
Time,
Figure 02_image005
,
Figure 02_image007
, Wherein the setting module (11) further includes a fourth parameter ( k ), the fourth parameter ( k ) is a natural number and 0, and the calculation module (12) further reads the fourth parameter ( k ) , Mod p operation means that the second parameter ( p ) of the following term is used as the divisor of the value of the preceding term to take the modulus operation of the remainder. Cp-2 k is p -2 of the second parameter ( p ) to take k The number of combinations derived from the fourth parameter ( k ).

該計算公式組係一第二公式,該第二公式為:若

Figure 02_image001
Figure 02_image003
Figure 02_image011
,其中
Figure 02_image013
Figure 02_image015
Figure 02_image017
,其中,該設定模組(11)更包含一第四參數( k)、一第五參數( a)以及一第六參數( i),該第四參數( k)、該第五參數( a)以及第六參數( i)為自然數與0,該計算模組(12)更讀取該第四參數( k)與該第五參數( a)以及該第六參數( i),mod p運算則為以後項之該第二參數( p)作為前項之值的除數以取餘數之模數運算, Cn in個該第一參數( n)中取i個該第五參數( a)出來之組合數。 The calculation formula is a second formula, and the second formula is: if
Figure 02_image001
,
Figure 02_image003
Time
Figure 02_image011
,among them
Figure 02_image013
,
Figure 02_image015
,
Figure 02_image017
, Wherein the setting module (11) further includes a fourth parameter ( k ), a fifth parameter ( a ), and a sixth parameter ( i ). The fourth parameter ( k ), the fifth parameter ( a ) And the sixth parameter ( i ) are natural numbers and 0, the calculation module (12) further reads the fourth parameter ( k ), the fifth parameter ( a ) and the sixth parameter ( i ), mod p The operation is that the second parameter ( p ) of the latter term is used as the divisor of the value of the preceding term to take the modulus operation of the remainder. Cn i is n of the first parameters ( n ), taking i of the fifth parameter ( a ) The number of combinations.

該圖形生成模組(13),依據該第一參數( n)、該第二參數( p)以及該第三參數( l)用以決定一巴斯卡正方形(10)之大小,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10)。 The graphic generation module (13) determines the size of a Pascal square (10) according to the first parameter ( n ), the second parameter ( p ), and the third parameter ( l ), and the complex number A value (121) is filled into the Baska square (10) according to the Baska square principle.

該填色模組(14),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰(142)。The coloring module (14) is used to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Baska square (10) to form a totem ( 142).

其中,該定模組(11)、該計算模組(12)、該圖形生成模組(13)以及該填色模組(14)系彼此電性連接。Wherein, the fixed module (11), the calculation module (12), the graphic generation module (13) and the color filling module (14) are electrically connected to each other.

該顏色單元(141)係為RGB色碼表之一顏色色碼,該RGB色碼表可舉例但不限定為16進位編碼之RGB色碼表,每一該顏色色碼對應一種顏色。舉例來說:由該計算模組(12)所計算出複數個數值(121),包含:0,1,2,3,…, n等數值(121),而可決定數值0所對應的該顏色單元(141)係為黃色色碼;數值1所對應的該顏色單元(141)係為藍色色碼;數值2所對應的該顏色單元(141)係為黃色色碼;數值3所對應的該顏色單元(141)係為綠色色碼;…;數值 n所對應的該顏色單元(141)係為一顏色色碼,實施時,將該巴斯卡正方形(10)之該複數個數值(121)所決定對應之該顏色色碼分別填入,藉以形成一圖騰(142)。 The color unit (141) is a color code of an RGB color code table. The RGB color code table can be exemplified but not limited to a hexadecimal coded RGB color code table. Each color code corresponds to a color. For example: the calculation module (12) calculates a plurality of values (121), including: 0, 1, 2, 3,..., n and other values (121), and the value 0 corresponding to the The color unit (141) is the yellow color code; the color unit (141) corresponding to the value 1 is the blue color code; the color unit (141) corresponding to the value 2 is the yellow color code; the value 3 corresponds to The color unit (141) is a green color code; ...; the color unit (141) corresponding to the value n is a color color code. When implemented, the plural values of the Paska square (10) ( 121) Fill in the corresponding color code of the determined color to form a totem (142).

接著,為使審查委員能進一步瞭解本發明之目的、特徵,以及所欲達成之功效,以下茲舉本發明之圖騰形成系統的具體實際實施例之一,進一步證明本發明之圖騰形成系統可實際應用之範圍,但不意欲以任何形式限制本發明之範圍。Next, in order to enable the reviewer to further understand the purpose, features, and desired effects of the present invention, one of the specific practical embodiments of the totem formation system of the present invention is cited below to further prove that the totem formation system of the present invention is practical The scope of application is not intended to limit the scope of the present invention in any form.

請一併參閱第8圖所示,係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形示意圖(一)。藉由本發明之圖騰形成系統在一設定模組(11),用於設定一第一參數( n)為13、一第二參數( p)為5以及一第三參數( l) 為3時,其中,該第一參數( n)與第三參數( l)為自然數,該第二參數( p)為質數;並於一計算模組(12),讀取該第一參數( n)、該第二參數( p)以及該第三參數( l),並代入一計算公式組,該計算公式組係一第二公式,該第二公式為若

Figure 02_image001
Figure 02_image003
Figure 02_image011
,其中
Figure 02_image013
Figure 02_image015
Figure 02_image017
,其中,該設定模組(11)更包含一第四參數( k)、一第五參數( a)以及一第六參數( i),該第四參數( k)、該第五參數( a)以及第六參數( i)為自然數與0,該計算模組(12)更讀取該第四參數( k)與該第五參數( a)以及該第六參數( i),mod p運算則為以後項之該第二參數( p)作為前項之值的除數以取餘數之模數運算, Cn in個該第一參數中取 i個該第五參數( a)出來之組合數,藉以計算出複數個數值(121);且於一圖形生成模組(13),依據該第一參數( n)、該第二參數( p)以及該第三參數( l)用以決定一巴斯卡正方形(10)之大小,該巴斯卡正方形(10)之大小係由196個小正方形(102)所組成,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10),且該複數個數值(121)種類分別為0、1、2、3、4。 Please also refer to Fig. 8, which is a schematic diagram (1) of the Pascal square of the totem forming system in a preferred embodiment of the present invention. When a setting module (11) of the totem forming system of the present invention is used to set a first parameter ( n ) to 13, a second parameter ( p ) to 5, and a third parameter ( l ) to 3, The first parameter ( n ) and the third parameter ( l ) are natural numbers, and the second parameter ( p ) is a prime number; and in a calculation module (12), the first parameter ( n ), The second parameter ( p ) and the third parameter ( l ) are substituted into a calculation formula group. The calculation formula group is a second formula, and the second formula is
Figure 02_image001
,
Figure 02_image003
Time
Figure 02_image011
,among them
Figure 02_image013
,
Figure 02_image015
,
Figure 02_image017
, Wherein the setting module (11) further includes a fourth parameter ( k ), a fifth parameter ( a ), and a sixth parameter ( i ). The fourth parameter ( k ), the fifth parameter ( a ) And the sixth parameter ( i ) are natural numbers and 0, the calculation module (12) further reads the fourth parameter ( k ), the fifth parameter ( a ) and the sixth parameter ( i ), mod p after the operation, compared with the second parameter (p) as item of value as a divisor in the preceding paragraph modulo operation taking the number of I, Cn i is n take the first parameter of the i-th fifth parameter (a) out of The number of combinations is used to calculate a plurality of values (121); and in a graphic generation module (13), according to the first parameter ( n ), the second parameter ( p ) and the third parameter ( l ) Determine the size of a Baska square (10). The size of the Baska square (10) is composed of 196 small squares (102), and the plural values (121) are filled according to the principle of a Baska square Enter the Paska square (10), and the types of the plural values (121) are 0, 1, 2, 3, and 4 respectively.

請一併參閱第9圖所示,係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形圖騰示意圖(一)。藉由該圖騰形成系統(1000)之一填色模組(14),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰(142),該顏色單元(141)係為RGB色碼表之一顏色色碼,該複數個數值0至4分別決定對應該顏色色碼。Please also refer to Fig. 9, which is a schematic diagram (1) of the Pascal square totem of the totem forming system in a preferred embodiment of the present invention. A coloring module (14) of the totem forming system (1000) is used to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Paska The square (10) forms a totem (142), the color unit (141) is a color code of the RGB color code table, and the plurality of values 0 to 4 respectively determine the corresponding color code.

本發明之另一實施例中,一種圖騰形成系統,至少包含:一設定模組(11)、一計算模組(12)、一圖形生成模組(13)以及一填色模組(14)。In another embodiment of the present invention, a totem forming system includes at least: a setting module (11), a calculation module (12), a graphic generation module (13), and a coloring module (14) .

該設定模組(11),用於設定一第一參數( n)、一第二參數( p)以及一第三參數( l),其中,該第一參數( n)與第三參數( l)為自然數,該第二參數( p)為質數。 The setting module (11) is used to set a first parameter ( n ), a second parameter ( p ) and a third parameter ( l ), wherein the first parameter ( n ) and the third parameter ( l) ) Is a natural number, and the second parameter ( p ) is a prime number.

該計算模組(12),讀取該第一參數( n)、該第二參數( p)以及該第三參數( l),並代入一計算公式組,藉以計算出複數個數值(121),其中,該計算公式組係一第三公式,該第三公式為:若

Figure 02_image019
Figure 02_image021
Figure 02_image023
Figure 02_image025
,其中,該設定模組(11)更包含一第四參數( k),該第四參數( k)為自然數與0,該計算模組(12)更讀取該第四參數( k),mod p運算則為以後項之該第二參數( p)作為前項之值的除數以取餘數之模數運算, Cn kn個該第一參數( n)中取 k個該第四參數( k)出來的組合數。 The calculation module (12) reads the first parameter ( n ), the second parameter ( p ), and the third parameter ( l ), and substitutes them into a calculation formula group to calculate a plurality of values (121) , Where the calculation formula is a third formula, and the third formula is: if
Figure 02_image019
,
Figure 02_image021
Time
Figure 02_image023
,
Figure 02_image025
, Wherein the setting module (11) further includes a fourth parameter ( k ), the fourth parameter ( k ) is a natural number and 0, and the calculation module (12) further reads the fourth parameter ( k ) , Mod p operation means that the second parameter ( p ) of the following term is used as the divisor of the value of the preceding term to take the modulus operation of the remainder. Cn k is n of the first parameters ( n ), taking k and the fourth The number of combinations from the parameter ( k ).

該計算公式組係一第四公式,該第四公式為:若

Figure 02_image019
Figure 02_image021
時,
Figure 02_image027
,其中
Figure 02_image029
Figure 02_image031
Figure 02_image033
,其中,該設定模組(11)更包含一第四參數( k)、一第五參數( a)以及一第六參數( i),該第四參數( k)、該第五參數( a)以及第六參數( i)為自然數與0,該計算模組(12)更讀取該第四參數( k)與該第五參數( a)以及該第六參數( i),mod p運算則為以後項之 p值作為前項之值的除數以取餘數之模數運算, Cl-1 k-1為 l-1個該第三參數( l)中取 k-1個該第四參數( k)出來的組合數。 The calculation formula is a fourth formula, and the fourth formula is: if
Figure 02_image019
,
Figure 02_image021
Time,
Figure 02_image027
,among them
Figure 02_image029
,
Figure 02_image031
,
Figure 02_image033
, Wherein the setting module (11) further includes a fourth parameter ( k ), a fifth parameter ( a ), and a sixth parameter ( i ). The fourth parameter ( k ), the fifth parameter ( a ) And the sixth parameter ( i ) are natural numbers and 0, the calculation module (12) further reads the fourth parameter ( k ), the fifth parameter ( a ) and the sixth parameter ( i ), mod p The operation is that the p value of the following term is used as the divisor of the value of the preceding term to take the modulus operation of the remainder. Cl -1 k -1 is l -1 of the third parameter ( l ), and k -1 is the fourth parameter . The number of combinations from the parameter ( k ).

該圖形生成模組(13),依據該第一參數( n)、該第二參數( p)以及該第三參數( l)用以決定一巴斯卡正方形(10)之大小,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10)。 The graphic generation module (13) determines the size of a Pascal square (10) according to the first parameter ( n ), the second parameter ( p ), and the third parameter ( l ), and the complex number A value (121) is filled into the Baska square (10) according to the Baska square principle.

該填色模組(14),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰(142)。The coloring module (14) is used to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Baska square (10) to form a totem ( 142).

接著,為使審查委員能進一步瞭解本發明之目的、特徵,以及所欲達成之功效,以下茲舉本發明之圖騰形成系統的具體實際實施例之二,進一步證明本發明之圖騰形成系統可實際應用之範圍,但不意欲以任何形式限制本發明之範圍。Next, in order to enable the reviewer to further understand the purpose, features, and desired effects of the present invention, the second specific practical embodiment of the totem formation system of the present invention is cited below to further prove that the totem formation system of the present invention is practical The scope of application is not intended to limit the scope of the present invention in any form.

請一併參閱第10圖所示,係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形示意圖(二)。藉由本發明之圖騰形成系統在一設定模組(11),用於設定一第一參數( n)為14、一第二參數( p)為5以及一第三參數( l)為3時,其中,該第一參數( n)與第三參數( l)為自然數,該第二參數( p)為質數;並於一計算模組(12),讀取該第一參數( n)、該第二參數( p)以及該第三參數( l),並代入一計算公式組,該計算公式組係一第四公式,該第四公式為:若

Figure 02_image019
Figure 02_image021
時,
Figure 02_image027
,其中
Figure 02_image029
Figure 02_image031
Figure 02_image033
,其中,該第三參數( l)為奇數,該設定模組(11)更包含一第四參數( k)、一第五參數( a)以及一第六參數( i),該第四參數( k)、該第五參數( a)以及第六參數( i)為自然數與0,該計算模組(12)更讀取該第四參數( k)與該第五參數( a)以及該第六參數( i),mod p運算則為以後項之 p值作為前項之值的除數以取餘數之模數運算, Cl-1 k-1為 l-1個該第三參數( l)中取 k-1個該第四參數( k)出來的組合數;且於一圖形生成模組(13),依據該第一參數( n)、該第二參數( p)以及該第三參數( l)用以決定一巴斯卡正方形(10)之大小,該巴斯卡正方形(10)之大小係由225個小正方形(102)所組成,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10),該複數個數值(121)種類分別為0、1、2、3、4。 Please also refer to FIG. 10, which is a schematic diagram (2) of the Pascal square of the totem forming system in a preferred embodiment of the present invention. When a setting module (11) of the totem forming system of the present invention is used to set a first parameter ( n ) to 14, a second parameter ( p ) to 5, and a third parameter ( l ) to 3, The first parameter ( n ) and the third parameter ( l ) are natural numbers, and the second parameter ( p ) is a prime number; and in a calculation module (12), the first parameter ( n ), The second parameter ( p ) and the third parameter ( l ) are substituted into a calculation formula group, the calculation formula group is a fourth formula, and the fourth formula is: if
Figure 02_image019
,
Figure 02_image021
Time,
Figure 02_image027
,among them
Figure 02_image029
,
Figure 02_image031
,
Figure 02_image033
, Where the third parameter ( l ) is an odd number, and the setting module (11) further includes a fourth parameter ( k ), a fifth parameter ( a ), and a sixth parameter ( i ). The fourth parameter ( k ), the fifth parameter ( a ), and the sixth parameter ( i ) are natural numbers and 0, the calculation module (12) further reads the fourth parameter ( k ) and the fifth parameter ( a ), and The sixth parameter ( i ), the mod p operation is that the p value of the following term is used as the divisor of the value of the preceding term to take the modulus operation of the remainder. Cl -1 k- 1 is l -1 of the third parameter ( l ) Takes k -1 the number of combinations of the fourth parameter ( k ); and in a graphics generation module (13), according to the first parameter ( n ), the second parameter ( p ) and the third The parameter ( l ) is used to determine the size of a Paska square (10). The size of the Paska square (10) is composed of 225 small squares (102), and the plural values (121) are in accordance with a The Baska square principle is filled into the Baska square (10), and the types of the plural values (121) are 0, 1, 2, 3, and 4 respectively.

請一併參閱第11圖所示,係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形圖騰示意圖(二)。藉由該圖騰形成系統(1000)之一填色模組(14),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰(142),該顏色單元(141)係為RGB色碼表之一顏色色碼,該複數個數值0至4分別決定對應該顏色色碼。Please also refer to FIG. 11, which is a schematic diagram (2) of the Pascal square totem of the totem forming system in a preferred embodiment of the present invention. A coloring module (14) of the totem forming system (1000) is used to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Paska The square (10) forms a totem (142), the color unit (141) is a color code of the RGB color code table, and the plurality of values 0 to 4 respectively determine the corresponding color code.

本發明之一較佳實施例中更包含一顯示單元(15) ,該顯示單元(15)係電性連接該圖騰形成系統(1000),用以顯示該巴斯卡正方形(10),該顯示單元(15)可舉例但不限定於電視機、投影儀、電腦顯示裝置或者任何一具有顯示功能的裝置,如12圖所示,本發明之一較佳實施例中顯示一具有該圖騰(142)之手機。A preferred embodiment of the present invention further includes a display unit (15), and the display unit (15) is electrically connected to the totem forming system (1000) for displaying the Paska square (10), the display The unit (15) can be exemplified but not limited to a television, a projector, a computer display device or any device with a display function. As shown in Figure 12, a preferred embodiment of the present invention displays a totem (142) ) Of the mobile phone.

本發明之一較佳實施例中提供一種電腦可讀取儲存裝置,該電腦可讀取儲存裝置包含一圖騰形成系統(1000),該電腦可讀取儲存裝置係用以儲存可由電腦存取的資料,該電腦可讀取儲存裝置可舉例但不限定於磁帶、快閃記憶體卡、數位光碟(digital versatile disk,DVD)、卡匣、隨機存取記憶體(RAM)以及唯讀記憶體(ROM)其中之一,也可被用於實現本發明各種實施例的操作環境中,如第12圖所示,係本發明之一較佳實施例之圖騰顯示狀態圖。A preferred embodiment of the present invention provides a computer-readable storage device. The computer-readable storage device includes a totem forming system (1000), and the computer-readable storage device is used to store computer-readable storage devices. Data, the computer-readable storage device can be exemplified but not limited to magnetic tape, flash memory card, digital versatile disk (DVD), cassette, random access memory (RAM), and read-only memory ( ROM) one of them can also be used in the operating environment for implementing various embodiments of the present invention. As shown in FIG. 12, it is a totem display state diagram of a preferred embodiment of the present invention.

本發明之一較佳實施例中提供一種圖騰形成設備,該圖騰形成設備係使用一圖騰形成系統(1000),該圖騰形成設備係可於產生一具有該圖騰(142)之產品(16),該產品(16)可舉例但不限定為圖畫、積木、模型、包裝紙、袋子、容器、拼圖、傢俱、文具或其他生活用品、玩具等,如13圖所示,係本發明之一較佳實施例之圖騰使用狀態圖。該產品(16)係一具有該圖騰(142)之手提袋。A preferred embodiment of the present invention provides a totem forming device that uses a totem forming system (1000), and the totem forming device can produce a product (16) with the totem (142), The product (16) can be exemplified but not limited to pictures, building blocks, models, wrapping paper, bags, containers, puzzles, furniture, stationery or other daily necessities, toys, etc. As shown in Figure 13, it is a preferred one of the present invention The totem of the embodiment uses a state diagram. The product (16) is a handbag with the totem (142).

本發明之一較佳實施例中提供一種圖騰產品,該圖騰產品係具有一圖騰形成系統(1000)之該圖騰(142),該圖騰產品可舉例但不限定為圖畫、積木、模型、包裝紙、袋子、容器、拼圖、傢俱、文具或其他生活用品、玩具等。A preferred embodiment of the present invention provides a totem product. The totem product is the totem (142) with a totem forming system (1000). The totem product can be exemplified but not limited to pictures, building blocks, models, and wrapping paper , Bags, containers, puzzles, furniture, stationery or other daily necessities, toys, etc.

如第14圖所示,係本發明之圖騰形成方法之流程圖(一)。一種圖騰形成方法,運行於一處理器上,其中,該圖騰形成方法包含步驟: 一設定步驟(S1),設定一第一參數( n)、一第二參數( p)以及一第三參數( l)於設定模組(11),其中,該第一參數( n)與第三參數( l)為自然數,該第二圖騰參數為質數 一計算步驟(S2),讀取該第一參數( n)、該第二參數( p)以及該第三參數( l),並代入一計算公式組,用以計算出複數個數值(121); 一圖形生成步驟(S3),依據該第一參數( n)、該第二參數( p)以及該第三參數( l)用以決定一巴斯卡正方形(10)大小,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10);以及 一填色步驟(S4),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰(142)。 As shown in Figure 14, it is a flowchart (1) of the totem forming method of the present invention. A totem forming method runs on a processor, wherein the totem forming method includes the steps: a setting step (S1), setting a first parameter ( n ), a second parameter ( p ), and a third parameter ( l ) In the setting module (11), wherein the first parameter ( n ) and the third parameter ( l ) are natural numbers, and the second totem parameter is a prime number. A calculation step (S2) is used to read the first The parameter ( n ), the second parameter ( p ), and the third parameter ( l ) are substituted into a calculation formula group to calculate a plurality of values (121); a graph generation step (S3), according to the first A parameter ( n ), the second parameter ( p ), and the third parameter ( l ) are used to determine the size of a Pascal square (10), and the plural values (121) are filled according to the principle of a Pascal square Enter the Pascal square (10); and a coloring step (S4) to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Bath The card square (10) is used to form a totem (142).

如第15圖所示,係本發明之圖騰形成方法之流程圖(二)。該圖騰形成方法,更包含一顯示步驟(S5),利用一顯示單元(15)顯示該圖騰(142),該顯示單元(15)可舉例但不限定於電視機、投影儀、電腦顯示裝置或者任何一具有顯示功能的裝置。As shown in Figure 15, it is the flowchart (2) of the totem forming method of the present invention. The totem forming method further includes a display step (S5), using a display unit (15) to display the totem (142). The display unit (15) can be exemplified but not limited to a television, a projector, a computer display device or Any device with display function.

綜上所述,本發明與現有技術與產品相較之下,本發明具有以下優點: 1.     本發明目的之一係利用圖騰形成資料庫、儲存模組、運算模組以及填色模組以系統化的方式建立具有對稱及美觀色彩的圖騰,可節省人力以及精神的消耗,並縮短圖騰之製作時程。 2.     本發明目的之一係使用填色模組之顏色選擇,除了以對稱美感使人們感到平靜並且穩定情緒及帶給安定感外,還可藉由不同的顏色搭配用以產生不同的心理作用。 3.     本發明目的之一係製作具對稱美感之圖騰可應用於日常生活中的各種物品,使人們透過視覺上的感受,進而產生平靜舒服之感覺。 In summary, compared with the prior art and products, the present invention has the following advantages: 1. One of the purposes of the present invention is to use totems to form a database, storage modules, computing modules, and coloring modules to create totems with symmetrical and beautiful colors in a systematic way, which can save manpower and mental consumption, and shorten Totem production schedule. 2. One of the purposes of the present invention is to use the color selection of the coloring module. In addition to symmetrical beauty to make people feel calm and stable emotions and bring a sense of stability, different color combinations can also be used to produce different psychological effects . 3. One of the purposes of the present invention is to make a totem with symmetrical beauty that can be applied to various items in daily life, so that people can feel calm and comfortable through visual experience.

綜上所述,本發明之圖騰形成系統、方法及其設備、產品與電腦可讀取儲存裝置,的確能藉由上述所揭露之實施例,達到所預期之使用功效,且本發明亦未曾公開於申請前,誠已完全符合專利法之規定與要求。爰依法提出發明專利之申請,懇請惠予審查,並賜准專利,則實感德便In summary, the totem formation system, method, equipment, product, and computer readable storage device of the present invention can indeed achieve the expected use effect through the above disclosed embodiments, and the present invention has not been disclosed. Before the application, Cheng had fully complied with the provisions and requirements of the Patent Law. If you file an application for a patent for invention in accordance with the law, you are kindly requested to review and grant a quasi-patent.

惟,上述所揭示之圖示及說明,非為限定本發明之保護範圍;大凡熟悉該項技藝之人士,其所依本發明之特徵範疇,所作之其它等效變化或修飾,皆應視為不脫離本發明之設計範疇。However, the illustrations and descriptions disclosed above are not intended to limit the scope of protection of the present invention; for those familiar with the art, other equivalent changes or modifications made by the features of the present invention should be regarded as Without departing from the design scope of the present invention.

(1000):圖騰形成系統 (10):巴斯卡正方形 (100):大正方形 (101):中正方形 (102):小正方形 (11):設定模組 (12):計算模組 (121):數值 (13):圖形生成模組 (14):填色模組 (141):顏色單元 (142):圖騰 (15):顯示單元 (16):產品 (S1):設定步驟 (S2):計算步驟 (S3):圖形生成步驟 (S4):填色步驟 (S5):顯示步驟 ( n):第一參數 ( p):第二參數 ( l):第三參數 ( k):第四參數 ( a):第五參數 ( i):第六參數 (1000): Totem Formation System (10): Baska Square (100): Large Square (101): Medium Square (102): Small Square (11): Setting Module (12): Calculation Module (121) : Numerical value (13): Graphic generation module (14): Color filling module (141): Color unit (142): Totem (15): Display unit (16): Product (S1): Setting step (S2): Calculation step (S3): Graphic generation step (S4): Filling step (S5): Display step ( n ): First parameter ( p ): Second parameter ( l ): Third parameter ( k ): Fourth parameter ( a ): Fifth parameter ( i ): Sixth parameter

第1圖係本發明之圖騰形成系統之巴斯卡正方形組成圖。 第2圖係本發明之圖騰形成系統之巴斯卡正方形原理示意圖(一)。 第3圖係本發明之圖騰形成系統之巴斯卡正方形原理示意圖(二)。 第4圖係本發明之圖騰形成系統之巴斯卡正方形原理示意圖(三)。 第5圖係本發明之圖騰形成系統之方塊圖(一)。 第6圖係本發明之圖騰形成系統之設定模組方塊圖。 第7圖係本發明之圖騰形成系統之方塊圖(二)。 第8圖係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形示意圖(一)。 第9圖係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形圖騰示意圖(一)。 第10圖係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形示意圖(二)。 第11圖係本發明之一較佳實施例之圖騰形成系統之巴斯卡正方形圖騰示意圖(二)。 第12圖係本發明之一較佳實施例之圖騰顯示狀態圖。 第13圖係本發明之一較佳實施例之圖騰使用狀態圖。 第14圖係本發明之圖騰形成方法之流程圖(一)。 第15圖係本發明之圖騰形成方法之流程圖(二)。 Figure 1 is the Baska square composition diagram of the totem forming system of the present invention. Figure 2 is a schematic diagram (1) of the Baska square principle of the totem forming system of the present invention. Figure 3 is a schematic diagram of the Baska square principle of the totem forming system of the present invention (2). Figure 4 is a schematic diagram of the Baska square principle of the totem forming system of the present invention (3). Figure 5 is a block diagram (1) of the totem forming system of the present invention. Figure 6 is a block diagram of the setting module of the totem forming system of the present invention. Figure 7 is a block diagram (2) of the totem forming system of the present invention. Figure 8 is a schematic diagram (1) of the Pascal square of the totem forming system in a preferred embodiment of the present invention. Figure 9 is a schematic diagram (1) of the Pascal square totem of the totem formation system of a preferred embodiment of the present invention. Figure 10 is a schematic diagram (2) of the Pascal square of the totem forming system in a preferred embodiment of the present invention. Figure 11 is a schematic diagram (2) of the Baska square totem of the totem forming system in a preferred embodiment of the present invention. Figure 12 is a totem display state diagram of a preferred embodiment of the present invention. Figure 13 is a diagram of the totem usage state of a preferred embodiment of the present invention. Figure 14 is a flowchart (1) of the totem forming method of the present invention. Figure 15 is a flowchart (2) of the totem forming method of the present invention.

(1000):圖騰形成系統 (1000): Totem Formation System

(11):設定模組 (11): Setting module

(12):計算模組 (12): Calculation module

(13):圖形生成模組 (13): Graphics generation module

(14):填色模組 (14): Coloring module

Claims (11)

一種圖騰形成系統,至少包含:一設定模組(11),用於設定一第一參數(n)、一第二參數(p)以及一第三參數(l),其中,該第一參數(n)與第三參數(l)為自然數,該第二參數(p)為質數;一計算模組(12),讀取該第一參數(n)、該第二參數(p)以及該第三參數(l),並代入一計算公式組,藉以計算出複數個數值(121);一圖形生成模組(13),依據該第一參數(n)、該第二參數(p)以及該第三參數(l)用以決定一巴斯卡正方形(10)之大小,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10);以及一填色模組(14),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰,其中,該計算公式組係為一第一公式、一第二公式、一第三公式或一第四公式,當該計算公式組係該第一公式,該第一公式為:若p×l=n+2、l
Figure 108127669-A0305-02-0018-2
p時,
Figure 108127669-A0305-02-0018-1
k=0,1,2,…,p-2,其中,該設定模組(11)更包含一第四參數(k),該第四參數(k)為自然數與0,該計算模組(12)更讀取該第四參數(k),mod p運算則為以後項之該第二參數(p)作為前項之值的除數以取餘數之模數運算,
Figure 108127669-A0305-02-0018-3
p-2個該第二參數(p)中取k個該第四參數(k)出來之組合數;當該計算公式組係該第二公式,該第二公式為:若p×l=n+2、l
Figure 108127669-A0305-02-0018-5
p
Figure 108127669-A0305-02-0018-4
,其中(k-1)p
Figure 108127669-A0305-02-0018-6
i
Figure 108127669-A0305-02-0018-7
kp-2,k=1,2,…,l,a=i-(k-1)p,其中,該設定模組(11)更包含一第四參數(k)、一第五參數(a)以及一第六參數(i),該第四參數(k)、該第五參數(a)以及第六參數(i)為自然數與0,該計算模組(12)更讀取該第四參數(k)與該第五參數(a)以及該第六參數(i),mod p運算則為以後項之該第二參數(p) 作為前項之值的除數以取餘數之模數運算,
Figure 108127669-A0305-02-0019-8
n個該第一參數(n)中取i個該第五參數(a)出來之組合數;當該計算公式組係該第三公式,該第三公式為:若n+1=p×lp
Figure 108127669-A0305-02-0019-9
l
Figure 108127669-A0305-02-0019-11
≠0 mod p,k=0,1,2,…,n,其中,該第三參數(l)為奇數,該設定模組(11)更包含一第四參數(k),該第四參數(k)為自然數與0,該計算模組(12)更讀取該第四參數(k),mod p運算則為以後項之該第二參數(p)作為前項之值的除數以取餘數之模數運算,
Figure 108127669-A0305-02-0019-12
n個該第一參數(n)中取k個該第四參數(k)出來的組合數;或當該計算公式組係該第四公式,該第四公式為:若n+1=p×lp
Figure 108127669-A0305-02-0019-13
l時,
Figure 108127669-A0305-02-0019-14
,其中(k-1)p
Figure 108127669-A0305-02-0019-15
i
Figure 108127669-A0305-02-0019-16
kp-1,k=0,1,2,…,l,a=i-(k-1)p,其中,該第三參數(l)為奇數,該設定模組(11)更包含一第四參數(k)、一第五參數(a)以及一第六參數(i),該第四參數(k)、該第五參數(a)以及第六參數(i)為自然數與0,該計算模組(12)更讀取該第四參數(k)與該第五參數(a)以及該第六參數(i),mod p運算則為以後項之p值作為前項之值的除數以取餘數之模數運算,
Figure 108127669-A0305-02-0019-17
l-1個該第三參數(l)中取k-1個該第四參數(k)出來的組合數。
A totem formation system at least includes: a setting module (11) for setting a first parameter ( n ), a second parameter ( p ), and a third parameter ( l ), wherein the first parameter ( n ) and the third parameter ( l ) are natural numbers, and the second parameter ( p ) is a prime number; a calculation module (12) reads the first parameter ( n ), the second parameter ( p ), and the The third parameter ( l ) is substituted into a calculation formula group to calculate a plurality of values (121); a graphic generation module (13) is based on the first parameter ( n ), the second parameter ( p ) and The third parameter ( l ) is used to determine the size of a Pascal square (10), and the plural values (121) are filled in the Pascal square (10) according to a Pascal square principle; and The coloring module (14) is used to determine that each value (121) corresponds to a color unit (141), and the color unit (141) is filled in the Baska square (10) to form a totem, wherein , The calculation formula group is a first formula, a second formula, a third formula, or a fourth formula. When the calculation formula group is the first formula, the first formula is: if p × l = n +2, l
Figure 108127669-A0305-02-0018-2
p ,
Figure 108127669-A0305-02-0018-1
, K =0,1,2,..., p -2, where the setting module (11) further includes a fourth parameter ( k ), the fourth parameter ( k ) is a natural number and 0, the calculation modulus Group (12) reads the fourth parameter ( k ), and the mod p operation is the second parameter ( p ) of the following item as the divisor of the value of the previous item to take the remainder of the modulus operation,
Figure 108127669-A0305-02-0018-3
Is the number of combinations obtained by taking k of the fourth parameter ( k ) out of p -2 of the second parameter ( p ); when the calculation formula is the second formula, the second formula is: if p × l = n +2, l
Figure 108127669-A0305-02-0018-5
p time
Figure 108127669-A0305-02-0018-4
, Where ( k -1) p
Figure 108127669-A0305-02-0018-6
i
Figure 108127669-A0305-02-0018-7
kp -2, k =1,2,..., l , a = i -( k -1) p , where the setting module (11) further includes a fourth parameter ( k ), a fifth parameter ( a ) And a sixth parameter ( i ). The fourth parameter ( k ), the fifth parameter ( a ), and the sixth parameter ( i ) are natural numbers and 0. The calculation module (12) further reads the Four parameters ( k ) and the fifth parameter ( a ) and the sixth parameter ( i ), the mod p operation is the second parameter ( p ) of the following term as the divisor of the value of the previous term and the modulus of the remainder Calculation,
Figure 108127669-A0305-02-0019-8
Is the number of combinations obtained by taking i of the fifth parameter ( a ) out of n of the first parameter ( n ); when the calculation formula is the third formula, the third formula is: if n +1 = p × l , p
Figure 108127669-A0305-02-0019-9
l hour
Figure 108127669-A0305-02-0019-11
≠0 mod p , k =0,1,2,..., n , where the third parameter ( l ) is an odd number, and the setting module (11) further includes a fourth parameter ( k ), the fourth parameter ( k ) is a natural number and 0, the calculation module (12) reads the fourth parameter ( k ), and the mod p operation is the second parameter ( p ) of the following term as the divisor of the value of the previous term Take the modulus operation of the remainder,
Figure 108127669-A0305-02-0019-12
Is the number of combinations obtained by taking k of the fourth parameter ( k ) out of n of the first parameter ( n ); or when the calculation formula is the fourth formula, the fourth formula is: if n +1 = p × l , p
Figure 108127669-A0305-02-0019-13
l hour,
Figure 108127669-A0305-02-0019-14
, Where ( k -1) p
Figure 108127669-A0305-02-0019-15
i
Figure 108127669-A0305-02-0019-16
kp -1, k =0,1,2,..., l , a = i -( k -1) p , where the third parameter ( l ) is an odd number, and the setting module (11) further includes a Four parameters ( k ), a fifth parameter ( a ), and a sixth parameter ( i ), the fourth parameter ( k ), the fifth parameter ( a ), and the sixth parameter ( i ) are natural numbers and 0, The calculation module (12) further reads the fourth parameter ( k ), the fifth parameter ( a ) and the sixth parameter ( i ), and the mod p operation is to divide the p value of the following term as the value of the preceding term The number is calculated by taking the modulus of the remainder,
Figure 108127669-A0305-02-0019-17
Is the number of combinations obtained by taking k -1 of the fourth parameter ( k ) out of l -1 of the third parameter ( l ).
如請求項1所述的圖騰形成系統,該顏色單元(141)係為RGB色碼表之一顏色色碼。 According to the totem forming system described in claim 1, the color unit (141) is a color code of the RGB color code table. 如請求項1所述的圖騰形成系統,更包含一顯示單元(15),用以顯示該圖騰(142),該顯示單元(15)係電性連接該圖騰形成系統(1000)。 The totem forming system according to claim 1, further comprising a display unit (15) for displaying the totem (142), and the display unit (15) is electrically connected to the totem forming system (1000). 如請求項3所述的圖騰形成系統,該顯示單元(15),係為一電視機、一投影儀及一電腦顯示裝置其中一。 According to the totem forming system of claim 3, the display unit (15) is one of a television, a projector, and a computer display device. 如請求項3所述的圖騰形成系統,該顯示單元(15),係為一具有顯示功能的裝置。 According to the totem forming system of claim 3, the display unit (15) is a device with a display function. 一種電腦可讀取儲存裝置,該電腦可讀取儲存裝置包含一如請求項1至請求項5任一項所述之圖騰形成系統(1000)。 A computer-readable storage device includes the totem forming system (1000) described in any one of claim 1 to claim 5. 如請求項6所述的電腦可讀取儲存裝置,該電腦可讀取儲存裝置係為磁帶、快閃記憶體卡、數位光碟(digital versatile disk,DVD)、卡匣、隨機存取記憶體(RAM)以及唯讀記憶體(ROM)其中之一。 The computer-readable storage device described in claim 6, the computer-readable storage device is a magnetic tape, a flash memory card, a digital versatile disk (DVD), a cassette, a random access memory ( One of RAM) and read-only memory (ROM). 一種圖騰形成設備,該圖騰形成設備係使用一如請求項1至請求項5任一項所述之圖騰形成系統(1000)。 A totem forming device which uses the totem forming system (1000) described in any one of claim 1 to claim 5. 一種圖騰產品,該圖騰產品係具有一如請求項1至請求項2任一項所述之圖騰形成系統(1000)之該圖騰(142)。 A totem product, the totem product having the totem (142) of the totem forming system (1000) described in any one of claim 1 to claim 2. 一種使用如請求項1至請求項2任一項所述之圖騰形成系統之圖騰形成方法,運行於一處理器上,其中,該圖騰形成方法包含步驟:一設定步驟(S1),設定一第一參數(n)、一第二參數(p)以及一第三參數(l)於設定模組(11),其中,該第一參數(n)與第三參數(l)為自然數,該第二圖騰參數為質數一計算步驟(S2),讀取該第一參數(n)、該第二參數(p)以及該第三參數(l),並代入一計算公式組,用以計算出複數個數值(121);一圖形生成步驟(S3),依據該第一參數(n)、該第二參數(p)以及該第三參數(l)用以決定一巴斯卡正方形(10)大小,且該複數個數值(121)依照一巴斯卡正方形原理填入至該巴斯卡正方形(10);以及一填色步驟(S4),用以決定每一該數值(121)對應一顏色單元(141),該顏色單元(141)填色於該巴斯卡正方形(10),藉以形成一圖騰。 A totem forming method using the totem forming system according to any one of claim 1 to claim 2, which runs on a processor, wherein the totem forming method includes the steps of: a setting step (S1), setting a first A parameter (n), a second parameter (p), and a third parameter (l) are in the setting module (11), wherein the first parameter (n) and the third parameter (l) are natural numbers, the The second totem parameter is a prime number-calculation step (S2), the first parameter (n), the second parameter (p), and the third parameter (l) are read and substituted into a calculation formula group for calculation A plurality of values (121) are generated; a graph generation step (S3) is used to determine a Pascal square (10) according to the first parameter (n), the second parameter (p) and the third parameter (l) ) Size, and the plural values (121) are filled into the Pascal square (10) according to a Pascal square principle; and a coloring step (S4) is used to determine the corresponding value of each value (121) A color unit (141), the color unit (141) is filled in the Paska square (10) to form a totem. 如請求項10所述的圖騰形成方法,更包含一顯示步驟(S5),利用一 顯示單元(15)顯示該圖騰(142)。 The totem forming method according to claim 10 further includes a display step (S5), using a The display unit (15) displays the totem (142).
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