'are you sure the conjecture doesn't require that all edges be straight lines?' They are all straight lines, but I think you are right in essence - the ...
Hi all, I'm new to this group adn I'd to ask something about the mobius strip. If one were to cut along its equator is it true that it results in two twists...
Hi Michelle, Any time that you have an odd number of half twists the form has only one edge. If you cut any of these shapes down the middle, you add an extra...
Thanks very much. Now I'm not so confused because there are 2 full twists, and 4 half twists. When i read on the net these two different numbers, I was...
Hi Polytopians i am new to this group - it looks great! On to my plea fro help... i am currently developing a program called TesselSphere which generates...
Hi, I looked at some pictures of it. It seems that each face of the icosahedron that is the underlying framework of this dome is divided into 192 equilateral...
... icosahedron that is the underlying framework of this dome is divided into 192 equilateral triangles. These each have a triangular pyramid placed on it. I...
Hi, What's Traicon and Alternate? I'm not familiar with your notation. I would like to play with your Tesselsphere program. As the icosahedron and dodecahedron...
Hi John I have uploaded a picture called 'frequency_16.gif' to the files area of this group which shows Alternate subdivision (class I). This screenshot was...
... Thanks for your interest Allen. The TesselSphere web site is in progress so keep an eye out for new developments. Right now I'm working on the geodesic...
Hi guys, here's two math problem that I'd like to know the answer and the process for solving! Question is: Name the largest natural number that cannot be...
A friend from another geometry list made this Pentakis Dodecahedron Earth model. -Dan __________________________________________________ Do you Yahoo!? Yahoo!...
... that was me. if you'd like to have a three-dimensional version of this, go to http://magliery.com/Zome/rhombiworld/ and print, cut, fold, and tape! -paul...
Hi all, I just discovered how to put Geometer's sketchpad on the net. I put up some pages of stuff that was new to me. Do any of you know if things like this...
B.t.w., Walt Venable just told me he's working on a book of dome structures you can build in Zome. We'll try to get some images (maybe even step-by-step ...
Paul Hildebrandt
paul@...
Apr 15, 2003 11:14 pm
109
I found a way to make Class II (triacon) subdivsion using Class I (alternate). The method uses the Icosahedral net. The lowest Frequnecy for Class II is V=2....
This is fun. In general you can pick any two grid points on isogonal grid paper to be the endpoints of an edge of a triangle for icosahedra, tetrahedra, or...
Hi John, That's very interesting. I will study the arrangement and see if I can figure it out. The manner in which an isogonal grid links platonic solids...
... I just joined this group. I've been building small models of geodesic domes for many years but have to admit that much of the math is still over my head....
The results of my eforts in reconstructing this geodesic sphere can be viewed at url: http://www.geocities.com/nicholasshea/tesselsphere/geodesic module.html ...
... Math isn't my strong point either: it's the notation I find difficult. ... That's a very leading question! Nigel Pennick in his book "Sacred Geometry"...
I don't know how you got my email address but you basically could not have picked a better person to talk about what you are talking about below. :) ... From:...
Mike Dubbeld
miike@...
Apr 24, 2003 7:37 am
116
Wow! Nicholas, what an accomplishment. What a beautiful set of images you've created. Thank you for the preview. Allen Lubow...
First, I must appologise to the group if this post seems too esoteric or off topic; however, considering the remit for the group, I don't think it is. There is...
... And thank you for your kind comments :) The first beta should be ready in about six weeks; as you have kindly offered to beta test, I will send you a ...
... From: <Nicholasshea@...> To: <polytopia@yahoogroups.com>; <miike@...> Sent: Thursday, April 24, 2003 12:12 PM Subject: Re: [polytopia] Re: Digest...
Mike Dubbeld
miike@...
Apr 25, 2003 12:56 am
120
So much great exchange happening on the list! Let me reiterate why I created Polytopia : To provide a place where Geometers, Pysicists, Artists, Yogis,...
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