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
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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...
... interesting. I hadn't noticed that this is a restricted form of the traveling salesman problem where we are trying to maximize lengths instead. I don't...
Can a graph ever possess the property that the shortest path doesn't contain the shortest line segment, and also that the the longest path doesn't contain the...
Can someone explain the Happy End problem to me? http://mathworld.wolfram.com/HappyEndProblem.html Are there rules as to how a graph can be constructed? Jon...
Hi, In a message dated 9/9/2002 1:37:02 PM Central Daylight Time, ... You will be given a certain number n for the polygon. You will place non-colinear points...