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Based on the definition of the ternary complex numbers and their operation rules, an infinite set of ternary complex numbers is defined according to the rule of Mandelbrot set. Some sample sets are extracted from the set with as high precision as possible, to portray exterior images under the control of the computer software. With observation and analysis, it is shown that its 3D geometric solid is in a shape of an animal. Almost every part of it seems rational, such as the head, tail, back, abdomen and four limbs. Its facial features are idiographic, with eyes equipped by eyeball, eyehole and eyelid. The whole body has some similar subsets around, and each of these subsets itself also has similar subsets around. This similarity differs from the geometrical similarity, but resembles the similarity of biologic heredity. If one increases the density of sample points, more accurate complicated structures can be seen. The zoomorphic fractal solid is located near the origin in Euclid space, its lineal measure is about 2.3. All these natural peculiarities and the details can be seen from the figures., authors=Guan-Ping YANG, authorsList=Guan-Ping YANG, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=Guan-Ping YANG, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=vKUjIigOW3z1yzZbNXr1NQ==, pdfFileSize=3483730, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242119522468040998, articleId=1242119518059827481, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=发现一种动物形三元数集, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, 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科技导报
|研究论文
2010
, 28
(03) :
19
-23
发现一种动物形三元数集
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杨冠平
作者信息
A Zoomorphic Set of Ternary Complex Numbers
Guan-Ping YANG
Affiliations
Corresponding Author:
Guan-Ping YANG
出版时间: 2010-02-13
文章导航
用三元数方法研究三维分形结构,先定义一种三元数及其运算规则,然后参照Mandelbrot集取集方式定义一种三元数集。用计算机软件以尽可能高的精度对该无穷数集采样取集,按三维点集生成几何外观视图。对整体和重点部位多角度视图的观察分析发现,该数集是一种动物形分形体。三维外观酷似动物,有合乎常理的头、尾、背、腹、鳍和四肢;面部五官具体,一双小眼睛也有眼球、眼窝、眼帘构造;身旁带有与自身相似的子体,子体身旁又带有下一代子体,这种代代相传的相似与几何相似不同,倒与生物遗传相似可比且相仿。数集细微结构多样无尽,局部更高采样密度的点集成像会看到更精细的结构。其复杂形态却是由简单规则生成的,复数分形这一令人费解的特点进而又有三维表现。数集形体存在于欧氏空间原点附近线尺度约为2.3的范围内,其自然特性和细节由文中所附的整体、头部、子体、眼部等多视角图像反映。
分形几何
/
Mandelbrot集
/
三元数集
/
三维点集
/
动物形分形体
This paper studies 3D fractal geometry by using the method of the ternary complex number. Based on the definition of the ternary complex numbers and their operation rules, an infinite set of ternary complex numbers is defined according to the rule of Mandelbrot set. Some sample sets are extracted from the set with as high precision as possible, to portray exterior images under the control of the computer software. With observation and analysis, it is shown that its 3D geometric solid is in a shape of an animal. Almost every part of it seems rational, such as the head, tail, back, abdomen and four limbs. Its facial features are idiographic, with eyes equipped by eyeball, eyehole and eyelid. The whole body has some similar subsets around, and each of these subsets itself also has similar subsets around. This similarity differs from the geometrical similarity, but resembles the similarity of biologic heredity. If one increases the density of sample points, more accurate complicated structures can be seen. The zoomorphic fractal solid is located near the origin in Euclid space, its lineal measure is about 2.3. All these natural peculiarities and the details can be seen from the figures.
fractal geometry
/
Mandelbrot Set
/
set of ternary complex numbers
/
3D point set
/
zoomorphic fractal solid
杨冠平.
发现一种动物形三元数集.
科技导报,
2010
, 28
(03)
: 19
-23
.
Guan-Ping YANG.
A Zoomorphic Set of Ternary Complex Numbers[J].
Science & Technology Review ,
2010
, 28
(03)
: 19
-23
.
2010年第28卷第03期
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接收时间:2009-09-21
首发时间:2010-02-13
出版时间:2010-02-13
收稿日期:2009-09-21
修回日期:1900-01-01
https://castjournals.cast.org.cn/joweb/kjdb/CN/1242119518059827481
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2种不同金属材料的力学参数
科 Family 属数 Number of genus 种数 Number of species 占总种数比例 Percentage of total species (%) 属 Genus 种数 Number of species 占总种数比例 Percentage of total species (%) 鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78 小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39 多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39 红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87 小菇属 Mycena 11 5.26 光柄菇属 Pluteus 5 2.39 红菇属 Russula 17 8.13 栓菌属 Trametes 5 2.39
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