魔方吧·中文魔方俱乐部

标题: 你喜欢研究多面体吗？ [打印本页]

作者: 老猫 时间: 2005-2-4 17:05:44 标题: 你喜欢研究多面体吗？

今天 Joseph 提供的多面体世界中文网站让我受益非浅：

http://www.viviasoft.com/polyhedra/gb_index.htm

我也曾热衷与多面体，玩了一些程序，也做过一些：

http://home.aanet.com.au/robertw/Stella.html#small

作者: 老猫 时间: 2005-2-4 17:06:44

Small Stella

作者: 老猫 时间: 2005-2-4 17:07:05

Great Stella

作者: 老猫 时间: 2005-2-4 17:07:52

作者: 老猫 时间: 2005-2-4 17:11:59

作者: 老猫 时间: 2005-2-4 17:15:50

正四面体：正六面体：

作者: 老猫 时间: 2005-2-4 17:17:39

正八面体：正十二面体：

正二十面体：

没有其他的“正多面体”了，这个您知道吧？[em07][em07][em08][em01][em05]

上面这五个叫做 Platonic Solids（柏拉图多面体(正多面体)）

正多面体的每一个面由相同的正多边形组成，每个面的棱邻接相同的正多边形，每个顶角由同等数量的相同的多边形构成。

[此贴子已经被作者于2005-2-4 17:24:08编辑过]

作者: 老猫 时间: 2005-2-4 17:23:43

再看看 Archimedean Solids.（阿基米得多面体）：

阿基米得多面体由多于一种的正多边形组成，每个顶点由相同顺序的的正多边形围绕。

[此贴子已经被作者于2005-2-4 17:28:19编辑过]

作者: 老猫 时间: 2005-2-4 17:24:45

Catalan Solids

扩展阿基米得多面体

扩展阿基米得多面体，每个顶点只要由相同的一组多边形构成即可，而不必考虑环绕的顺序。

[此贴子已经被作者于2005-2-4 17:26:59编辑过]

作者: 老猫 时间: 2005-2-4 17:33:18 标题: 你喜欢研究多面体吗？

Kepler-Poinsot Solids

作者: 老猫 时间: 2005-2-4 17:38:21

很有意思的程序，感兴趣的人都可以玩玩，谁有破解赶紧告诉我。喜欢动手的人可以做一做：

作者: 老猫 时间: 2005-2-4 17:39:02

Prisms and Antiprisms

作者: 老猫 时间: 2005-2-4 17:39:23

Duals of Prisms and Antiprisms

作者: 老猫 时间: 2005-2-4 17:40:14

Uniform Polyhedra

作者: 老猫 时间: 2005-2-4 17:40:36

Duals of Uniform Polyhedra

作者: 老猫 时间: 2005-2-4 17:42:54

不过，如果你没有足够的耐心，劝你不要做了，看看过程：

	Here's one of the nets printed by Great Stella, showing 10 red parts combined together.
	Put all these little pieces together from the nets, then glue them to each other.
	You now have the flowery part seen here. Its outline is a regular 10/3 decagram. 12 of these are required.
	This is the same part upside-down. Inside the 10/3 decagram is a 10/2 decagram, ie two overlapping pentagons. One of the pentagons has yellow edges. To add strength, I glued extra rectangles along the back of these yellow edges. Glued to three consecutive existing tabs, that is.
	These blue cups are then attached around the flower part. Then another flower part can be added and so on. There is also a pair of yellow triangles to go between each flower part, but I recommend you glue this in place after the two flower parts have already been attached. It's easier that way.
	Keep adding parts together! It may be hard to see in this picture, but behind each yellow triangle-pair are small tabs from adjacent flower parts that may also be glued together.
	Time for the infamous last part. Since I reinforced behind the yellow edges, you can still flex the flower parts along those edges. Here we see the last flower part being attached. It is first attached to one of the blue cups, and since the flower can be folded along the yellow edge, tweezers can still get in to secure these first tabs. Then continue gluing for the remaining blue cups. Tweezers can't get in now, but it still holds well. You can cut the hook off a coat hanger and use it to reach inside and check that the tabs are together.
	Finally glue the last five yellow triangle-pairs in place. Here's the completed model viewed down a 5-fold rotational symmetry axes.
	The view down a 3-fold rotational symmetry axes.
	The view down a 2-fold rotational symmetry axes.

作者: 老猫 时间: 2005-2-4 17:43:45

作者: 老猫 时间: 2005-2-4 17:45:29

Stellated Polyhedra

作者: 老猫 时间: 2005-2-4 17:46:16


1	2	3	4


5	6	7

作者: 老猫 时间: 2005-2-4 17:46:37


"King Stella"	"Hemi-Twister"	"Dodecaplosion"

作者: 老猫 时间: 2005-2-4 17:46:50


"The Ace"	"Suckers"	"Golden Checkers"

"Gears"	"Spray"	"Kaboom"

作者: 老猫 时间: 2005-2-4 17:47:49

Compounds

作者: 老猫 时间: 2005-2-4 17:51:14

做这玩意确实不容易，需要的是那种曾经“打过”或者“想打”毛线活的男生。。。。。。。。。。。。。

作者: 大烟头 时间: 2005-2-4 18:16:35

真是看花眼了，顶一下

作者: cube_master 时间: 2005-2-4 22:06:04

呵呵　我看到的是未来魔方的影子

果然是个很好的网站

作者: 老猫 时间: 2005-2-4 22:26:38


Great Icosahedron	Great Icosicosidodecahedron

作者: 老猫 时间: 2005-2-4 22:27:32


Stellated Truncated Cube	Small Dodecicosahedron

作者: 老猫 时间: 2005-2-4 22:28:00


Rhombicosahedron	Decahedron of Kites

作者: 老猫 时间: 2005-2-4 22:28:21

Small Inverted Retrosnub Icosicosidodecahedron (12 feet high!)

作者: 老猫 时间: 2005-2-4 22:28:53


Compound of 6 pentagrammic crossed antiprisms	Compound of 2 great inverted retrosnub icosidodecahedra

作者: 老猫 时间: 2005-2-4 22:29:14

作者: 老猫 时间: 2005-2-4 22:30:02


Compound of 5 great icosahedra	Compound of 6 pentagonal antiprisms

作者: 老猫 时间: 2005-2-4 22:30:16


Compound of 20 tetrahemihexahedra	Compound of 5 tetrahemihexahedra

作者: 老猫 时间: 2005-2-4 22:31:31

Models by Alex Doskey

作者: 老猫 时间: 2005-2-4 22:31:56


Stellation of Great Ditrigonal Dodecicosidodecahedron	Stellation of Small Icosihemidodecahedron	Stellation of Snub Cube	Stellation of Great Dodecahemidodecahedron