32轴32面体魔方（目前最多轴结构的魔方）

大烟头

今天刚找到的魔方图片，太牛了：

这魔方制作者的网名为：Lee T.
他是这样介绍这魔方的：

I just finshed a working model of a puzzle which is an extension of the megaminx. It is a truncated icosahedron with 32 sides. I call it a Tuttminx unless somebody knows of prior claim. The core is based on a Zome ball. It turns OK but does have a tendency to get hung up until the alignment is right. I probably should have given a little more clearance on the parts. Oh well.

Anyway it has 182 external pieces, 60 corners, 60 pentagon-hexagon edges, 30 hexagon-hexagon edges, 12 pentagon centers, 20 hexagon centers. The Pentagon are 5 fold symmetric and the hexagons are 3 fold symmetric.

I saw this forum when I was looking around to see if anyone had ever made one and decided to join and see what you think. I am a newbie so go easy.

No, I am not planning to go into production. It was just a self challenge to see if I could do it because I thought it would be neat.

大烟头

It is about 5 inches from hexagon to hexagon on the opposite side (~13 cm). Each side of a polygon is about 1.1 inches. A little larger than most puzzles, but for my first one I wanted something large enough not to fall apart.

"When did you start the project? When did you complete it?"

I had the idea since ~1991 but did not have the skills till about 2 years ago and actually started building about a year ago.

"What method/material did you use to create this puzzle?"

I was learning a solid modeling program at work and used this as a learning project. I used it to get my understanding of the angles (which are critical) for each piece. I then paid a jeweler to make a master of each unique piece (5) using a stereo lithography machine. From those pieces I made silicone molds and replicated using a two part polyurethane (many many copies). I saw the Zome balls (Zometools.com)as a cheap center and used those to build off of. The pentagon and triangular struts form the proper symmetry. The centers of ech face are screwed and spring loaded similar to a megaminx to give some degrees of freedom. It is fully functional, but does not turn as well as a megaminx . The clearances are not perfect on the inside. It turns similar to a Dogic I have ( you have to make absolutely sure every thing is aligned).

这是这32轴魔方的内核块。

摘自：http://twistypuzzles.com/forum/viewtopic.php?t=4186&sid=9ab64256c16066bd866b7b29c1852246

大烟头

这32轴魔方真的很漂亮，我看了很震撼！这３２面体已接近球形了，不知这是否是多轴魔方结构的极限！

在此前我知道的最多轴结构的魔方是这种20轴的，而且设计的不大好，只有棱块没有角块。

注：这种说不定还是十二轴的，看不大懂啊。

[此贴子已经被作者于2005-12-22 22:42:37编辑过]

天亮

多轴,也是魔方的一种极限,

确实从正多面体的角度来说,二十轴已经是到顶了,

这个设计表面用正五边形与正六边形组成,这也算得上是一种完美的多面体,

能完成这样的作品,不容易.

有一个担心,因为已经是接近了球面,转动时手感不会很好,唯一的办法是,做的精确,尽可能地灵活,

天亮

这里不仅佩服制作者的巧妙设计,

更要感谢大烟头,能为我们找到这样好的资料,使得大开眼界.

我等只能是坐享其成,只能再说一声,谢谢了.

sherlock

这个外部形状不就跟足球一样么……

太厉害了……

大烟头

旋转两个面后的状态

大烟头

与五魔方的对比照，明显大多了

乌木

没实物，从图片看，好像有12个五边形面，20个六边形面。

共32面，对应于32轴。五魔方有12个五边形的面，20个顶点。

两者之间这种12－－12，20－－20，不会是巧合吧？

哪位学数学的来详述一下。

ggglgq