Check it out. No chord factors. http://groups.msn.com/BuckminsterFuller/shoebox.msnw?action =ShowPhoto&PhotoID=187 or http://makeashorterlink.com/?E67522747 ...
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Alan Michelson
amichelson2002
Mar 2, 2004 2:28 am
I think if you project a 4-D cube onto a space perpendicular to its diagonal you get a rhombic dodecahedron with internal edges and planes that are parallel to...
259
Alan Michelson
amichelson2002
Mar 3, 2004 2:27 am
I think if you project a 4-D Cross Polytope (Dual with hypercube) onto a space parallel to its opposite cells, you get a dou-tet cube. In fact, with some of...
260
Dan
polychoron
Mar 6, 2004 10:46 pm
Zome is now offering parts by the pound, a great way to add to your kit or to start one. You get a lot more pieces than if you bought a kit. You don't get a...
261
Alan Michelson
amichelson2002
Mar 8, 2004 4:50 am
The icosahedron has 5-fold symmetry while the Vector Equilibrium has 4-fold symmetry, but both also have 3-fold symmetry. And do you know why? Because we live...
262
Alan Michelson
amichelson2002
Mar 8, 2004 5:00 am
... Rotation of a 3-dimensional cube. ... Rotation of the 4-dimensional hypercube. You can get a better view at: http://www.netspace.net.au/~gregegan/ As I...
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Dan
polychoron
Mar 10, 2004 7:37 am
I will be displaying some of my fluorescent polyhedra sculptures at a psytrance party this Saturday 3/13. I may have my Zometool kit and plenty of other...
264
Alan Michelson
amichelson2002
Mar 11, 2004 2:19 am
I believe that the problem is because we can't tessellate regular tetrahedra nor regular pentagonal dodecahedra on this supposedly THREE-DIMENSIONAL realm as...
265
Alan Michelson
amichelson2002
Mar 11, 2004 2:23 am
See http://www.geocities.com/Area51/Rampart/7931/4DSpace.htm I also noticed http://tetraspace.alkaline.org which is not to be confused with...
266
Alan Michelson
amichelson2002
Mar 11, 2004 2:28 am
Want to hop on our QuadPods or TetShips and go see the passing of the artifact in http://clowder.net/hop/gofix/artifact.html I heard that the GOFIX will be...
267
Dan
polychoron
Mar 21, 2004 3:35 am
Hello Polytopians, I will be building a Sierpinski Tetrahedron (a.k.a. Tetrix) with Zome at a store called the Construction Site in Waltham, MA just outside...
268
tuvel2002
Mar 21, 2004 4:46 am
What an awesome group this is! All of the stuff I'm most interested in is here! I'd love to hear any comments about some of the stuff I've put up on my little...
269
Alan Michelson
amichelson2002
Mar 21, 2004 6:54 pm
You can fill hyperspace with regular pentagonal dodecahedra. You can't fill three-dimensional infinite space [as we know it] with regular pentagonal...
270
Alan Michelson
amichelson2002
Mar 21, 2004 7:11 pm
I also add http://home.rmci.net/tuvel/Hyper.htm Welcome aboard, tuvel!...
271
tuvel2002
Mar 22, 2004 4:35 am
<grin> Thanks! Hey, but I took a look at the Hyperdimensional page, and I haven't updated it in aeons! Only one of the three links works! Ah well, I'll be...
272
Dan
polychoron
Mar 22, 2004 7:05 pm
Hey Tuvel, Welcome to Polytopia, I'm glad you joined. I just looked at your work. I love it, thanks for sharing. Are you on Magnus Wenninger's Polyhedron...
273
Jon Perry
jon_perryuk
Mar 22, 2004 9:59 pm
Let M_n be a matrix with n*n entries, starting from 1 to n. Define M_n(i,j) = binomial(i+j,j) So M_4 is [b(2,1), b(3,1), b(4,1), b(5,1)] [b(3,2), b(4,2),...
274
Paul Erlich
emotionaljou...
Mar 23, 2004 1:45 am
Yes -- me! Lots of Zome constructions around my house. Feel free to e- mail me offlist....
276
LOLLYGOA@...
lollygoa
Mar 23, 2004 4:09 am
am recommending my co-worker who paints and is interested in sacred geometry: Tettah Tawiah tettahakt@... happy spring, y'all!! Lori Lollygoa...
277
tuvel2002
Mar 23, 2004 5:30 am
Thank you! Hey, no. How do I get on his Magnus mailing list? - tuv...
278
tuvel2002
Mar 23, 2004 5:48 am
Hey guys! I've been trying to do animations of all the regular 4D Polytopes, you know, 5-Cell, 8-Cell, 16-Cell, 24-Cell, 120-Cell, and the 600-Cell. While, I...
279
Alan Michelson
amichelson2002
Mar 23, 2004 6:02 pm
... At http://groups.yahoo.com/group/Polytopia/links you will see Regular Polytopes (Platonic solids) in 4D Just point your web browser to ...
280
Paul Hildebrandt
paul@...
Mar 23, 2004 6:43 pm
Dan, The parts were shipped yesterday (Monday,) so they might havve them by Thursday. Paul H....
281
rfhatfield
Mar 24, 2004 10:16 pm
Hi! I guess I should introduce myself to the group. I'm what they call a "savant"; I'm not especially good at math in any formal sense, or very well educated,...
282
Alan Michelson
amichelson2002
Mar 25, 2004 8:20 pm
The dual of the Hexacosichoron is the Hecatonicosachoron. They are big polychora, but they are sure not infinite tessellations! Three-dimensional tessellations...
283
tuvel2002
Mar 26, 2004 6:29 am
Perfect! Thank you! I was able to generate an animation of the 24-Cell, and I'm working on the 120-Cell now! I still don't have a page organized, but this...
284
J Vincent Beall
vincebeall
Mar 26, 2004 6:41 am
... From: Alan Michelson To: Polytopia@yahoogroups.com Sent: Thursday, March 25, 2004 3:19 PM Subject: [Polytopia] Fwd: Re: infinite-sized Polytopes The dual...
285
Alan Michelson
amichelson2002
Mar 26, 2004 6:58 pm
As a matter of fact, all of the notes in my post can be topological considerations. As far as duals are concerned, only the TOPOLOGY matters. How can you...
In 4-D, duals are formed by joining a point that is in the center of each polyhedron to equivalent points in the centers of all neighboring polyhedra. The new...
