staying in mexico for a couple of months. please keep in touch. ... Get your FREE download of MSN Explorer at http://explorer.msn.com ....
Asher Weinstein
ashermorph@...
Apr 4, 2002 9:51 pm
10
The sphere is implied by the Platonic solids. Each solid defines several spheres--each apex falls on the surface of a sphere, the center of each face falls on...
In 1975, I had my system complete, printed up on a chart, with illustrations. I had demonstrated the periodic nature of the regular and semi-regular solids,...
Here is a description of the 9 shapes. 1. The small sphere--tetrahedron 2. The small ovoid--deltahexahedron 3. The medium sphere--octahedron 4. The "mushroom...
This file contains templates for the six strips used to construct the 9 implicit shapes: http://groups.yahoo.com/group/thegeometryofspatialorder/files/Template...
Enter your vote today! A new poll has been created for the polytopia group: What is the most evil looking star polygon? o {5/2} pentagram o {7/2} heptagram o...
polytopia@yahoogroups...
May 9, 2002 7:07 pm
18
Hi, Rob-- Yeah--I think just about everyone here is interested in the things you mention. The subject has fascinated me for more than 40 years. I'm in the...
Hi all, Yesterday in class I taught the students how to make flexagons. We did the tri-hexa-flexagon, and I showed them the hexa-hexa-flexagon. This got me on...
Hi - this is an new style of animation I'm doing - http://www.astro-logix.com/spinning_octahedral_zoom - more to follow. Rob http://www.astro-logix.com...
hey, every one should check out this java applet called Tyler (2d plane tesselation) http://www.superliminal.com/geometry/tiler/Tiler.htm and please look...
... oh yeah . . . i've spent countless hours perusing it . . . it turns out clifford algebras (one of tony's main themes) are useful in music theory, someday...
... classed as "fractals". ... i don't see any fractal qualities in any of those, but i may be missing something . . . fractal implies that a small part...
Try this link - http://mathworld.wolfram.com/topics/Geometry.html . Rob http://www.astro-logix.com ... From: dial282000 To: polytopia@yahoogroups.com Sent:...
For those interested in tiling and tesselation of the plane, there is a gallery of new tilings created with a java applet called Tyler. I have a few of my...
As a newbie to this list, I would like to ask a question: Given a cube, a path is defined as starting at a point, and we travel to another point. We are only...
Welcome Jon, In a message dated 9/4/2002 3:29:03 PM Central Daylight Time, ... I'm assuming that you want to visit all 8 vertices and return home. Let's take...
As far as further dimensions go with the cube (hypercube), I would think the form stands. When dimension is 3, the formula is MaxLength = 2^(D-1) * ((sqrt(D)...
Both answers so far are correct - keep up the good work. Here's another conjecture: Does every longest path in n-dimensional space necessary include the...
Hi, I did some more thinking on the general problem of the longest circuit of the vertices of a brick. Say that the h*w*d brick has two of its vertices at...
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