Check it out. No chord factors. http://groups.msn.com/BuckminsterFuller/shoebox.msnw?action =ShowPhoto&PhotoID=187 or http://makeashorterlink.com/?E67522747 ...
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...
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...
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...
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...
... 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...
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...
I believe that the problem is because we can't tessellate regular tetrahedra nor regular pentagonal dodecahedra on this supposedly THREE-DIMENSIONAL realm as...
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...
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...
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...
You can fill hyperspace with regular pentagonal dodecahedra. You can't fill three-dimensional infinite space [as we know it] with regular pentagonal...
<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...
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...
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),...
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...
Dan, The parts were shipped yesterday (Monday,) so they might havve them by Thursday. Paul H....
Paul Hildebrandt
paul@...
Mar 23, 2004 6:43 pm
281
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,...
The dual of the Hexacosichoron is the Hecatonicosachoron. They are big polychora, but they are sure not infinite tessellations! Three-dimensional tessellations...
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...
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...
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