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CN1118884A - [Golden Rectangular] Application of Natural Proportion - Film and Television Equipment and Equipment - Google Patents

[Golden Rectangular] Application of Natural Proportion - Film and Television Equipment and Equipment Download PDF

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CN1118884A
CN1118884A CN 94106125 CN94106125A CN1118884A CN 1118884 A CN1118884 A CN 1118884A CN 94106125 CN94106125 CN 94106125 CN 94106125 A CN94106125 A CN 94106125A CN 1118884 A CN1118884 A CN 1118884A
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冯庆辉
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Abstract

本发明涉及成型技术。解决视觉效果更佳问题,[黄金长方]自然比例的应用—影视器材及设备,包括电影银幕、电视荧光屏摄影机录像机照像机的鉴视器或视窗、菲林底片及冲晒照片的[普通长方]等,其特征是该等影视器材及设备引用了含有自然比例的[黄金长方];该[黄金长方]的比例是1.618∶1或1∶0.618。可广泛用于影视器材及其设备。

The present invention relates to molding technology. To solve the problem of better visual effects, the application of the natural proportion of the [golden rectangle] - film and television equipment and devices, including movie screens, television screens, video cameras, video recorders, camera viewfinders or windows, film negatives and [ordinary rectangles] for developing photos, etc., characterized in that the film and television equipment and equipment use the [golden rectangle] containing the natural proportion; the proportion of the [golden rectangle] is 1.618:1 or 1:0.618. It can be widely used in film and television equipment and equipment.

Description

[黄金长方]自然比例的应用—影视器材及设备[Golden Rectangular] Application of Natural Proportion - Film and Television Equipment and Equipment

本发明涉及成型技术领域,尤指一种引用含有自然比例的[黄金长方]来改变及取代了现时电视银幕、电视莹光屏、摄影机录像机照像机的视窗、菲林底片及冲晒照片的长方形之[长宽比例],成为一系列新一代的影视器材及设备。The present invention relates to the technical field of molding, especially a kind of [golden rectangle] that uses natural proportions to change and replace current TV screens, TV fluorescent screens, windows of video cameras, video cameras, film negatives and developed photos. The [ratio of length and width] of the rectangle has become a series of new-generation film and television equipment and equipment.

现时电影电视和一般摄影机照片等的制作和构造大都是以普通的长方形,如其两边为1.4∶1;1.45∶1或最近新推出的16∶9来制造的。其视觉效果尚不足以达到更佳更舒适,使显示出的影像更柔美自然的较好程度。Most of the current production and construction of movies, televisions, and general camera photos are made of common rectangles, such as 1.4:1 on both sides; 1.45:1 or the newly released 16:9. Its visual effect is not enough to achieve better and more comfortable, so that the displayed image is more soft and natural.

本发明的目的是提供一种可使造出的视觉效果更佳更舒适,使显示出的影像更柔美更自然的影视器材及设备。The object of the present invention is to provide a film and television equipment and equipment that can make the visual effect better and more comfortable, and make the displayed image softer and more natural.

本发明的目的是这样实现的:[黄金长方]自然比例的应用—影视器材及设备,包括电影银幕、电视莹光屏摄影机录像机照像机的鉴视器或视窗、菲林底片及冲晒照片的[普通长方]等,其特征是该等影视器材及设备引用了含有自然比例的[黄金长方];该[黄金长方]的比例是1.618∶1或1∶0.618∶。The object of the present invention is achieved like this: the application of [golden rectangle] natural ratio-video equipment and equipment, comprise the viewfinder or window of movie screen, TV fluorescent screen video camera video recorder camera, film negative and develop photo The [ordinary rectangle], etc., are characterized in that such video equipment and equipment refer to the [golden rectangle] containing natural proportions; the ratio of the [golden rectangle] is 1.618:1 or 1:0.618:.

上述设计,[黄金长方]的比例是-1.618∶1或1∶0.618,这两个比率1.618和0.618都是自然比例中的正反比值,在所有的比例中,只有自然比例的正反比值是合一的(1.618-0.618=1)自然比例由“自然级数”所产生,自然界乃至人体本身到处都存在自然比例,它的[矛盾对立统一]及[正反合论]绝对吻合了物理学和自然科学上的逻辑辩证。把上述自然比例引用到上面多种的影视器材及设备之后,可使造出的视觉效果更佳更舒适,使显示出的影像更柔美更自然。这已为试验所证实。In the above design, the ratio of [Golden Rectangular] is -1.618:1 or 1:0.618, these two ratios 1.618 and 0.618 are the positive and negative ratios of natural proportions, among all the proportions, only the positive and negative ratios of natural proportions It is a unity (1.618-0.618=1). The natural proportion is produced by "natural series". Natural proportions exist everywhere in nature and even in the human body. Logical dialectics in science and natural science. After applying the above-mentioned natural proportions to the above-mentioned various film and television equipment and equipment, the visual effect can be made better and more comfortable, and the displayed image can be softer and more natural. This has been confirmed by experiments.

[黄金长方]的造型和比例如附图23The shape and proportion of [Golden Rectangular] are shown in Figure 23

下面通过附图和实施例对本发明再作详细技术说明:Below by accompanying drawing and embodiment the present invention is described in detail again:

1、黄金分割[ψ]自然比例的形成。1. The formation of the natural proportion of the golden section [ψ].

黄金分割[ψ]自然比例的形成可由算表一求出,算表一系一个由电脑程式运算出来的一系列数字,表内三项数字的意思如下:(参见本发明的说明书第7页)The formation of golden section [ψ] natural ratio can be obtained by counting table one, and counting table one is a series of figures calculated by computer program, and the meaning of three numbers in the table is as follows: (referring to the 7th page of specification sheet of the present invention)

第一项是自然数,由0至1开始及1至2系代表自然界的事物从未开始至找一个起点,及由此而产生相对概念的自然效果,它是一些自然发生的过程。由3开始,数的形成就比较简单。以下每一个数都是由上面两个数的和,延续不断地一级一级的产生出来,成为一系列的[自然级数]。The first item is a natural number, starting from 0 to 1 and 1 to 2 representing things in the natural world from never beginning to finding a starting point, and the natural effect of relative concepts generated from this, it is some naturally occurring processes. Starting from 3, the formation of numbers is relatively simple. Each of the following numbers is continuously generated level by level by the sum of the above two numbers, becoming a series of [natural series].

第二项及第三项的数,则是在第一项自然级数之中,上下两个数的[正反比值]。设第一项上一个数为U,下一个数为L。The numbers in the second and third items are the [positive and negative ratios] of the upper and lower numbers in the first item of natural progression. Let the previous number of the first item be U and the next number be L.

正比值ψ=L/U;反比值Φ-1=U/L如此辗转相除下去,当第一项自然级数的值越大时,它们的正反比值就越趋稳定和精确。Positive ratio ψ=L/U; inverse ratio Φ-1=U/L and so on, when the value of the first natural series is larger, their positive and negative ratios tend to be more stable and accurate.

正比值ψ=1.61803398875  不尽数Proportional value ψ=1.61803398875 innumerable

反比值ψ-1=0.61803398875 不尽数Inverse ratio ψ-1=0.61803398875 innumerable

第一项一系列的自然数字叫做[自然级数],它与数学上的[费本纳其级数]相似,[费本纳其级数]的正反比值古希腊称为[黄金分割],它由0、1、2、3、5、8……开始,方便可以由:The first series of natural numbers is called [Natural Series], which is similar to [Febenaki Series] in mathematics, and the positive and negative ratio of [Fibenaki Series] is called [Golden Section] in ancient Greece , it starts from 0, 1, 2, 3, 5, 8..., conveniently can be obtained by:

0+1=1,1+1=2,1+2=3,2+3=5,3+5=8…等,配合了[纯数学]上的恒等法则和[平面几何]上的边等法则。0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, etc., which cooperate with the law of identity in [pure mathematics] and the law of sides in [plane geometry].

[自然级数]与[费本纳其级数]的差别就只是在开始的几个级数之中少了一个1。[自然级数]是上面所说的“由自然效果而产生的”,比起纯数学式的级数,[自然级数]含有更高的自然科学原理。The difference between [Natural Series] and [Febenacci Series] is that one 1 is missing in the first few series. [Natural series] is the above-mentioned "produced by natural effects". Compared with the series of pure mathematics, [natural series] contains higher principles of natural science.

2、自然比例的特点:2. The characteristics of natural proportion:

在众多的数学比例之中,自然比例是独一无二的,其它任何的比例都投有自然比的一些特点和性质,所以自然比又被冠称为[黄金分割]自然比率。自然比的比值有正反合一,互相抵销和互相对等的特殊性质。Among the many mathematical ratios, the natural ratio is unique, and any other ratio has some characteristics and properties of the natural ratio, so the natural ratio is also called the [golden section] natural ratio. The ratio of the natural ratio has the special properties of positive and negative unity, mutual offset and mutual equivalence.

ψ=1.618/1=1/0.618=1.618ψ=1.618/1=1/0.618=1.618

ψ-1=0.618/1=1/1.618=0.618ψ -1 = 0.618/1 = 1/1.618 = 0.618

ψ×ψ-1=1.618×0.618=1ψ×ψ -1 =1.618×0.618=1

ψ-ψ-1=1.618-0.618=1ψ-ψ -1 =1.618-0.618=1

自然比率的自然科学论证有如[几何学]上的[点、线、面、体理论]它由一点座标开始而产生出两个方向的直线概念。之后又如此类推地产生了平面、立体、超立体等概念,不过自然比率的论证概念较高。它的[正反合一]和[对等抵销]的特殊性质原本是一种[矛盾对立而统一]的自然物理效应。简单地说,所谓[矛盾对立而统一]就是[相对而又相关及相对而又和合的意思]。The natural science argument of natural ratio is like the [point, line, surface, body theory] in [geometry], it starts from a point coordinate and produces the concept of a straight line in two directions. Later, concepts such as plane, three-dimensional, and super-stereo were produced by analogy, but the concept of demonstration of natural ratio is relatively high. Its special properties of "integration of positive and negative" and "equal offset" were originally a natural physical effect of "unity of contradictions and opposites". Simply put, the so-called "unity of opposites and opposites" means "relative yet related and relative yet harmonious".

自然比率的各项特殊性质是自然界中一些必然的现象。它包含有[自然而然]和[回归自然]的[绿色概念]。本发明专利申请就是把自然比率设计成一系列影视器材及设备的[视角长方],可使造出的视觉效果会更佳和更舒适,使显示的影像会更柔美和更自然。The special properties of natural ratios are some inevitable phenomena in nature. It contains the [green concept] of [natural] and [back to nature]. The patent application of this invention is to design the natural ratio into a series of video equipment and equipment [angle of view rectangle], which can make the visual effect produced better and more comfortable, and the displayed image will be softer and more natural.

由自然比率设计而成的[自然长方]在本专利申请中被称为[黄金长方]。设[黄金长方]的长度为1时,它的高度便是相应的0.618,又设[黄金长方]的高度为1时,它的长度便是相应的1.618了。[Natural rectangle] designed by natural ratio is called [Golden rectangle] in this patent application. When the length of [Golden Rectangle] is 1, its height is 0.618, and when the height of [Golden Rectangle] is 1, its length is 1.618.

如本发明所述的[黄金长方]自然比例的应用-影视器材及设备,其中,一种以[自然比例]而制成的电影摄影机监视器,使摄得的影像在底片上的范围成[黄金长方]形。其中一种以[自然比例]而制成的电影银幕,使投射放影到银幕上的影像范围成[黄金长方]形。其中一种以[自然比例]而制成的电视录像机监视器,使录得的影像在莹光屏上显示范围成[黄金长方]形。其中一种以[自然比例]而制成的电视莹光屏,配合播放使显示出的影像在莹光屏上的范围成[黄金长方]形。其中一种以[自然比例]而制成的照像机监视器,使照得的影像在底片或照片上的显现范围成[黄金长方]形。其中一种以[自然比例]而制成的长方机架及视窗框,使受范围著的摄影机,录像机,电视机,照像机等的视窗,都成[黄金长方]形。其中[黄金长方]形的影像不论大小;不论化学显影抑或光电显影;不论数码式扫描显影或脉冲式扫描显影;不论黑白影像或彩色影像;都一起包括在内。其中[黄金长方]不论是直立或横放;不论是平放或斜放;不论作任何角度或任何象限的放置都包括在内。Application of the natural ratio of the [golden rectangle] as described in the present invention - film and television equipment and equipment, wherein, a movie camera monitor made of [natural ratio] makes the range of the captured image on the negative film 100% [Golden rectangle] shape. One of the movie screens made with "natural proportions" makes the range of images projected onto the screen into a "golden rectangle" shape. One of them is a TV video recorder monitor made with "natural proportions", so that the recorded images are displayed in the shape of a "golden rectangle" on a fluorescent screen. One of them is a TV fluorescent screen made of "natural proportions". With the playback, the range of the displayed image on the fluorescent screen becomes a "golden rectangle". One of them is a camera monitor made with "natural proportions", so that the scope of the photographed image on the film or photo becomes a "golden rectangle". One of them is a rectangular frame and a window frame made with "natural proportions", so that the windows of cameras, video recorders, televisions, cameras, etc. that are subject to the range are all in the shape of a "golden rectangle". Among them, the [golden rectangle]-shaped image is included regardless of size; regardless of chemical development or photoelectric development; whether digital scanning development or pulse scanning development; black and white images or color images; all are included together. Among them, the [golden rectangle] is included no matter whether it is placed upright or horizontally; whether it is placed horizontally or obliquely; no matter it is placed at any angle or in any quadrant.

3、自然界中的自然比例;3. The natural proportion in nature;

人与世间的万物,都是自然界的产品。人与动植物的生长形态和模式都存有很多自然比例的讯息。以下便是对多个例证示意图的分别说明。Human beings and everything in the world are products of nature. The growth forms and patterns of humans, animals and plants contain a lot of information about natural proportions. The following are the respective descriptions of several exemplary schematic diagrams.

图1、为种物中常见的螺壳,壳上的旋纹每旋转一周,旋纹的差距便是一级自然比的扩张率。参阅[其异的费本纳其级数]。Figure 1 is a common spiral shell among species. Every time the spirals on the shell rotate once, the gap between the spirals is the expansion rate of the first-order natural ratio. See [Other Fibonacci series].

图2、为一般鸡蛋外壳,它的长度与横径之比例就是一个典型[黄金长方]的例子,参阅即将出版的自然科学书藉[阴阳五行与五饼二鱼]。Figure 2 shows the shell of a general egg. The ratio of its length to the transverse diameter is a typical example of the [golden rectangle].

图3、为了周8分枝的自然级数模式,在树干和主茎上,新长出来的枝茎都有以自然率的级数,盘旋着树干外周而分布的。Figure 3. For the natural progression pattern of 8 branches, on the trunk and the main stem, the newly grown branches are distributed around the periphery of the trunk at a natural rate progression.

图4、则是1、2、3、5、8、13、等六个自然级数的模式,参阅《yearbook of seience and the future》Figure 4 shows the patterns of six natural progressions, 1, 2, 3, 5, 8, 13, etc., see "yearbook of seience and the future"

图5、6为人体全身各部分的自然比例,参阅《DynamicComposition》图中各段:Figures 5 and 6 are the natural proportions of each part of the human body, refer to the paragraphs in the figure of "DynamicComposition":

XZ/XY=ψ;XY/XZ=ψ-1 XZ/XY=ψ; XY/XZ=ψ -1

XY/YX=ψ;YX/XY=ψ-1 XY/YX=ψ; YX/XY=ψ -1

人本身是一个小宇宙的模式,人是自然界的一份子。Man himself is a model of a small universe, and man is a part of nature.

图7、为人的头部所存有的自然比例,参阅《Facinating Fiboaccis》。Figure 7. For the natural proportions of the human head, see "Facinating Fiboaccis".

图8、为人的眼部和视觉所存有[黄金长方]的自然比例。参阅[阴阳五行与五饼二鱼]。图7、8说明除了人的全身含有自然比例之外,人体的各部份或个别器管也存在很多自然比例。Figure 8. The natural ratio of the [golden rectangle] for human eyes and vision. See [Yin Yang, Five Elements and Five Loaves and Two Fishes]. Figures 7 and 8 illustrate that in addition to the natural proportions contained in the whole body of a person, there are also many natural proportions in various parts or individual organs of the human body.

图9、显示手指骨的各节分别都是自然率的比例。Fig. 9 shows that each segment of the finger bone is a ratio of the natural rate.

图10、显示由食指屈曲而做成的自然比例,参阅《FibonaccisQuartety》。图9、10说明人手的指节又含有很多自然的比例。Figure 10, showing the natural proportions made by flexing the index finger, see "FibonaccisQuartety". Figures 9 and 10 illustrate that the knuckles of the human hand contain many natural proportions.

图11、为表示[天目穴]是人头顶与下巴之间的自然划分点。Figure 11 shows that [Tianmu Point] is the natural dividing point between the top of the head and the chin.

图12、为表示[百会穴]是人鼻尖与后枕之间的自然划分点。Figure 12 shows that [Baihui point] is the natural dividing point between the tip of the nose and the back pillow.

图13、为表示[劳宫穴]是人指尖与手腕之间的自然划分点。Figure 13 shows that [Laogong point] is the natural dividing point between human fingertips and wrists.

图14、为表示[涌泉穴]是人脚尖与脚睁之间的自然划分点。参阅[东方古代科学形容会论文]。图11—14说明除了人体的表象含有很多自然比例之外,人体的穴位也有很多自然比例。Figure 14 shows that [Yongquan point] is the natural dividing point between the toes and the feet. See [Papers of the Orient Ancient Science Description Conference]. Figures 11-14 illustrate that in addition to the appearance of the human body containing many natural proportions, the acupuncture points of the human body also have many natural proportions.

4、自然比例的应用:4. Application of natural proportion:

图15、为表示大约建于五千年前古埃及法老王在金字塔墓内的穴位,比起金字塔的高度,就是以自然率来定的。它的作用和其它金字塔之迷一样,到今时今日还未能完全被后人揭破。Figure 15 shows the acupuncture points built in the pyramid tomb of the ancient Egyptian Pharaoh about 5,000 years ago. Compared with the height of the pyramid, it is determined according to the natural rate. Its function is the same as that of other pyramids, and it has not been completely uncovered by future generations until today.

图16、为表示创作于七千多年以前的[古太极图]更是引用了自然率的先驱例证。它的制图方法和其间的旋线轨迹,无一不是自然率的法则。而整个图所呈示的自然科学讯息,无一不是自然率的演绎,参见[阴阳五行与五饼二鱼]。Figure 16 is a pioneer example of the natural rate quoted in the [Ancient Taiji Picture] created more than 7,000 years ago. Its drawing method and the spiral trajectory between them are all the laws of natural rate. And the natural science information presented in the whole picture is all the deduction of natural rate, see [Yin Yang, Five Elements and Five Loaves and Two Fishes].

图17、18、为表示;过去,自然率被建筑师、艺术家、平面设计家引用的先例较多,以求达到柔合自然美,与大自然和谐呼应的观感效果。如欧洲古建筑和中国清花瓷艺的自然率长高比例,参阅《FibonaccisQuartery》。Figures 17 and 18 are representations; in the past, the natural rate has been cited by architects, artists, and graphic designers in many precedents, in order to achieve a soft and natural beauty and a harmonious echo with nature. For example, the natural rate of European ancient buildings and Chinese Qinghua porcelain art has a high proportion, see "Fibonaccis Quartery".

图19、为表示西乐中的钢琴、电子琴上的键,每一组半音阶(Chromatic Scale)共有13个音符,白键有8个(Diatonic Scale)黑键有5个(Pentatonic Sca1e)。而黑键又分为3个一组和2个一组。另外被称为最悦耳的两个音段(Majoy/Minor Sixth)之中,C及A符每秒的震频分别为264及440赫,刚好是3和5之比。而E及C符每秒的震频则是330及528赫,刚好是5和8之比。以上所有2、3、5、8、13之数,全部都是自然率开头的一些级数。音符是自然界的回响,也就是“音乐可以和谐于大自然韵律”的原因。Fig. 19 is to represent the keys on the piano and electronic organ in western music, each group of chromatic scales (Chromatic Scale) has 13 notes, white keys have 8 (Diatonic Scale) and black keys have 5 (Pentatonic Sca1e). The black keys are divided into groups of 3 and groups of 2. In addition, among the two most pleasant sound segments (Majoy/Minor Sixth), the vibration frequencies of C and A symbols per second are 264 and 440 Hz respectively, which is exactly the ratio of 3 to 5. The vibration frequency of E and C symbols per second is 330 and 528 Hz, which is exactly the ratio of 5 and 8. All the above numbers of 2, 3, 5, 8, and 13 are all series at the beginning of the natural rate. Notes are the echoes of nature, which is why "music can be in harmony with the rhythm of nature".

图20、为表示一些欧洲的自然科学家曾经发表过,“大约一个世纪之前,欧洲墓地的十字架,横直架的比例及交差点大部份都是以自然率来制定的”。十字架的模式,很可能是用来与大自然相呼应和沟通宇宙讯息的工具,参阅《宗教与理论百科全书》。Figure 20 shows that some European natural scientists once published, "About a century ago, most of the crosses in European cemeteries, the proportions of horizontal and vertical frames, and the intersection points were formulated based on natural rates." The pattern of the cross is likely to be a tool used to echo with nature and communicate messages from the universe, see "Encyclopedia of Religion and Theory".

5、[人体工程学]与[自然科学]:5. [Ergonomics] and [Natural Science]:

近年来销量最高的工商业产品,对[人体工程学]的配合都非常重视,大至建筑设备;家具装饰;驾驶仑及控制台的装置等,小至手工具;手提仪器设备;日用品器皿等,都会以使用者的自然舒适为出发点。那么设计影视器材设备和使造出的视觉效果当然不可不考虑[人体工程学]了。The industrial and commercial products with the highest sales volume in recent years have attached great importance to the coordination of [ergonomics], ranging from construction equipment; furniture decoration; driver and console devices, etc., to small hand tools; All will take the user's natural comfort as the starting point. Then, of course, [ergonomics] must be considered in the design of film and television equipment and the visual effects produced.

前面举出众多自然比例的资料,都是强调着[人体工程]这一门[自然科学]。人为自然界的一份子,人体存有很多自然率的比例,人眼球的视觉角度成[黄金长方]形,两眼合成的总视觉范围也是成[黄金长方]形。把视觉器材及设备所造出的影像发明成为新一代的[黄金长方]形,将会是一种[自然科学]及[人体工程]上的重大革新。The many natural proportions cited above all emphasize the [natural science] of [human engineering]. Man is a part of nature, the human body has many natural rate ratios, the visual angle of the human eyeball is in the shape of a [golden rectangle], and the combined visual range of the two eyes is also in the shape of a [golden rectangle]. Inventing the image produced by visual equipment and equipment into a new generation of "golden rectangle" will be a major innovation in "natural science" and "human engineering".

图21、是现时普遍流行的1.4∶1的影视效果。Figure 21 is the currently popular 1.4:1 video effects.

图22、是把比例改变成新一代1.618∶1的自然比例之后的情形。说明这样改变后便可以吻合了[自然科学]和[人体工程学]的要求了,由有[黄金长方]装置的影视设备所造出的影视效果,最合乎自然舒适的要求,结合起已经使用多时由自然率而产生的音符来一齐制作节目,所创出的影音效果将会共同进入一种完美的自然境界,成为真正自然界的回响。Figure 22 is the situation after changing the ratio to the natural ratio of the new generation 1.618:1. It shows that after this change, the requirements of [Natural Science] and [Ergonomics] can be met. The film and television effects created by the film and television equipment with the [Golden Rectangular] device are most in line with the requirements of natural comfort. Using the notes generated by the natural rate for many times to make programs together, the audio-visual effects created will enter a perfect natural state together and become the real echo of nature.

      算表一:自然比率的產生方法Calculation Table 1: How to Generate Natural Ratio

      0        φ   (L/U)         φ-1    (U/L)0 φ (L/U) φ -1 (U/L)

      1 1

      2      2.0000000000000    0.50000000000002 2.0000000000000 0.5000000000000

      3      1.5000000000000    0.66666666666673 1.5000000000000 0.6666666666667

      5      1.6666666666667    0.60000000000005 1.6666666666667 0.6000000000000

      8      1.6000000000000    0.62500000000008 1.6000000000000 0.6250000000000

     13      1.6250000000000    0.615384638309513 1.6250000000000 0.6153846383095

     21      1.6153845787048    0.619047641754221 1.6153845787048 0.6190476417542

     34      1.6190476417542    0.617647051811234 1.6190476417542 0.6176470518112

     55      1.6176470518112    0.618181824684155 1.6176470518112 0.6181818246841

     89      1.6181818246841    0.617977499961989 1.6181818246841 0.6179774999619

    144      1.6179774999619    0.6180555820465144 1.6179774999619 0.6180555820465

    233      1.6180555820465    0.6180257797241233 1.6180555820465 0.6180257797241

    377      1.6180257797241    0.6180371642113377 1.6180257797241 0.6180371642113

    610      1.6180371046066    0.6180328130722610 1.6180371046066 0.6180328130722

    987      1.6180328130722    0.6180344223976987 1.6180328130722 0.6180344223976

   1597      1.6180344820023    0.61803382635121597 1.6180344820023 0.6180338263512

   2584      1.6180337667465    0.61803406476972584 1.6180337667465 0.6180340647697

   4181      1.6180340051651    0.61803394556054181 1.6180340051651 0.6180339455605

   6765      1.6180340051651    0.61803400516516765 1.6180340051651 0.6180340051651

  10946      1.6180340051651    0.618034005165110946 1.6180340051651 0.6180340051651

  17711      1.6180340051651    0.618034005165117711 1.6180340051651 0.6180340051651

  28657      1.6180340051651    0.618034005165128657 1.6180340051651 0.6180340051651

  46368      1.6180340051651    0.618034005165146368 1.6180340051651 0.6180340051651

  75025      1.6180340051651    0.618034005165175025 1.6180340051651 0.6180340051651

 121393      1.6180340051651    0.6180340051651121393 1.6180340051651 0.6180340051651

 196418      1.6180340051651    0.6180340051651196418 1.6180340051651 0.6180340051651

 317811      1.6180340051651    0.6180340051651317811 1.6180340051651 0.6180340051651

 514229      1.6180340051651    0.6180340051651514229 1.6180340051651 0.6180340051651

 832040      1.6180340051651    0.6180340051651832040 1.6180340051651 0.6180340051651

1346269      1.6180340051651    0.61803400516511346269 1.6180340051651 0.6180340051651

2178309      1.6180340051651    0.61803400516512178309 1.6180340051651 0.6180340051651

3524578      1.6180340051651    0.61803400516513524578 1.6180340051651 0.6180340051651

5702887      1.6180340051651    0.61803400516515702887 1.6180340051651 0.6180340051651

9227465      1.6180340051651    0.61803400516519227465 1.6180340051651 0.6180340051651

14930352     1.6180340051651    0.61803400516511+2=3  ;2+3=5   ;3+5=8   ;5+8=13   ....自然數2/1 =2  ;3/2 =1.5 ;5/3 =1.67;8/5 =1.6  ....正比值1/2 =0.5;2/3 =0.67;3/5 =0.60;5/8 =0.625....反比值正比值  φ  =1.6180340051651 .......................不盡數反比值  φ-1=0.6180340051651 .......................不盡數(由一般計算机及電腦個别計算都可以得到1.61803398875的答案,但當一進入電腦程式之後,答案則會是上面的數字,不過,那百萬份之一的差異,在學術推理過程中,暫不處理)。14930352 1.6180340051651 0.61803400516511+2=3; 2+3=5; 3+5=8; 5+8=13 ....Natural numbers 2/1=2; 3/2=1.5; 5/3=1.67; 8/5=1.6... .Proportional value 1/2=0.5; 2/3=0.67; 3/5=0.60; 5/8=0.625....inverse proportional value φ=1.6180340051651.......... ......... Infinitely inverse ratio value φ -1 = 0.6180340051651 ........ Infinitely (by general computer and computer Individual calculations can get the answer of 1.61803398875, but once entered into the computer program, the answer will be the above number, however, the difference of one part in a million will not be dealt with in the process of academic reasoning).

Claims (9)

1、[黄金长方]自然比例的应用—影视器材及设备,包括电影银幕、电视莹光屏摄影机录像机照像机的鉴视器或视窗、菲林底片及冲晒照片的[普通长方]等,其特征是该等影视器材及设备引用了含有自然比例的[黄金长方];该[黄金长方]的比例是1.618∶1或1∶0.618。1. Application of [Golden Rectangular] Natural Proportion—Film and TV equipment and equipment, including movie screens, TV fluorescent screens, video cameras, video recorders, and camera viewers or windows, film negatives and [Ordinary Rectangular] for developing photos, etc. , which is characterized in that the film and television equipment and equipment refer to the [golden rectangle] containing natural proportions; the ratio of the [golden rectangle] is 1.618:1 or 1:0.618. 2、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中,一种以[自然比例]而制成的电影摄影机监视器,使摄得的影像在底片上的范围成[黄金长方]形。2. The application of the natural ratio of [golden rectangle] as claimed in claim 1 - film and television equipment and equipment, is characterized in that: Among them, a movie camera monitor made with [natural ratio], so that the captured The range of the image on the film is in the shape of a [golden rectangle]. 3、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中一种以[自然比例]而制成的电影银幕,使投射放影到银幕上的影像范围成[黄金长方]形。3. The application of the natural proportion of [golden rectangle] as claimed in claim 1 - film and television equipment and equipment, is characterized in that: one of the film screens made with [natural proportion] makes the projection projected onto the screen The range of images is in the shape of a [golden rectangle]. 4、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中一种以[自然比例]而制成的电视录像机监视器,使录得的影像在莹光屏上显示范围成[黄金长方]形。4. The application of [golden rectangle] natural ratio as claimed in claim 1 - video equipment and equipment, it is characterized in that: one of them is a TV video recorder monitor made with [natural ratio], so that the recorded image The range displayed on the fluorescent screen is in the shape of a [golden rectangle]. 5、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中一种以[自然比例]而制成的电视莹光屏,配合播放使显示出的影像在莹光屏上的范围成[黄金长方]形。5. The application of [golden rectangle] natural proportions-video equipment and equipment as claimed in claim 1, characterized in that: one of the TV fluorescent screens made of [natural proportions] cooperates with the playback to display The range of the image on the fluorescent screen is [golden rectangle]. 6、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中一种以[自然比例]而制成的照像机监视器,使照得的影像在底片或照片上的显现范围成[黄金长方]形。6. The application of the natural proportion of the [golden rectangle] as claimed in claim 1 - film and television equipment and equipment, characterized in that: one of the camera monitors made with the [natural proportion] makes the illuminated The display range of the image on the film or photo is in the shape of a [golden rectangle]. 7、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征是:其中一种以[自然比例]而制成的长方机架及视窗框,使受范围著的摄影机,录像机,电视机,照像机等的视窗,都成[黄金长方]形。7. The application of [golden rectangle] natural proportions-video equipment and equipment as claimed in claim 1, characterized in that: one of the rectangular racks and window frames made of [natural proportions] makes the subject The windows of video cameras, video recorders, televisions, cameras, etc. are all in the shape of a [golden rectangle]. 8、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征:是[黄金长方]形的影像包括各种大小规格;包括化学显影或光学显影;数码式扫描显影或脉冲式扫描显影;黑白影像或彩色影像。8. As claimed in claim 1, the application of the natural proportion of the [golden rectangle] - video equipment and equipment, is characterized in that: the image of the [golden rectangle] includes various sizes and specifications; including chemical development or optical development; digital Scanning development or pulsed scanning development; black and white image or color image. 9、如权利要求1所述的[黄金长方]自然比例的应用—影视器材及设备,其特征:是[黄金长方]包括直立或横放;平放或斜放;呈角度或于象限内。9. The application of natural proportions of the [Golden Rectangle] as claimed in claim 1 - video equipment and equipment, characterized in that: [Golden Rectangle] can be placed upright or horizontally; horizontally or obliquely; at an angle or in a quadrant Inside.
CN 94106125 1994-06-10 1994-06-10 [Golden Rectangular] Application of Natural Proportion - Film and Television Equipment and Equipment Pending CN1118884A (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104714613A (en) * 2015-01-23 2015-06-17 浙江吉利控股集团有限公司 Display screen, mobile terminal and combined-type terminal equipment
US10116778B2 (en) 2015-01-23 2018-10-30 Zhejiang Geely Holding Group Co., Ltd. Mobile terminals and combined terminal equipment
US10445049B2 (en) 2015-01-23 2019-10-15 Zhejiang Geely Holding Group Co., Ltd Mobile terminal, combined terminal device and method for splicing control

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104714613A (en) * 2015-01-23 2015-06-17 浙江吉利控股集团有限公司 Display screen, mobile terminal and combined-type terminal equipment
US10116778B2 (en) 2015-01-23 2018-10-30 Zhejiang Geely Holding Group Co., Ltd. Mobile terminals and combined terminal equipment
US10445049B2 (en) 2015-01-23 2019-10-15 Zhejiang Geely Holding Group Co., Ltd Mobile terminal, combined terminal device and method for splicing control

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