Hi All Here are some more animations and images. 24-Cell Animations ... Animations slicing through a single 24-cell, also showing the projection of the edges. ...
... No, Cumulated <http://mathworld.wolfram.com/Cumulation.html> Cube! According to MathWorld, "This operation is implemented under the misnomer Stellate ...
... If adjacent pyramid-faces are coplanar, that's the r.d. -- Anton Sherwood, http://www.ogre.nu/ "How'd ya like to climb this high *without* no mountain?"...
... Thnaks Alan, however, I see an internal, pyramidic cummulation( 'inverted' stellation ) of cube on the second line of Wolfram link. And an external...
... Perhaps however, I think you mean( more comprehensive ) if all 12 sets, ....of only-two-adjacent-pyramids,( of the cummulated cube ) .... share the same...
... The facets of a stellation are in the same planes as those of the parent body. A cumulation has pyramids built on the faces of the parent. There is thus...
... Yes, a stellation has its faces in the same planes, whereas an augmentation (what you call cumulation) is achieved by blending two polyhedra together at a...
http://ph.groups.yahoo.com/group/Polytopia/photos/browse/cdb2 Ok, ive added five jbug-sine-wave photos. This pathway above is the Primary Precessional Pathway...
... It appears to me that the differrence is in the altitude of the additional polyehedron and specifically if that altitude goes beyond have coplanar surfaces...
MathWorld says that "there exists a Mathematica function 'Stellate', although it actually replaces faces with pyramids (i.e., performs what is properly known...
Hi, I'm trying to understand the nature of sphere stacking better, specifically in two areas. I have three questions regarding this; 1.) Four regular...
This problem cannot be solved as given. What are the other faces of the solid? If we don't know, we could always take a bigger solid that had the same four...
It occured to me, that I hadn't clearly answered one of your main inquiries, which was am I talking about spheres on the solid being intesected by a triangular...
In correspondence with Dr king from http://www.drking.plus.com/hexagons/misc/numbers.html (messages included at end of this letter), and another mathnaut,...
... By "edge frequency" do you mean that every regular icosahedron has 30 edges, or that a specific icosahedron's edge-length is 30 lattice-units, or what? ...
Anton, thanks for replying. Here by edge frequency, I mean it in a 'Buckminster Fuller" way.... as you say, "a specific icosahedron's edge-length is 30...
Received this email today, has anyone heard of the theorem of Cauchy's that this fellow speaks of? <-----Original Message-----> ... How low will we go? Check...
Received this email today, has anyone heard of the theorem of Cauchy's that this fellow speaks of? <-----Original Message-----> ... Sneak preview the all-new...
I wish to present a fascinating area of higher dimensional geometry to a general audience. This exploration encounters the double prism (especially the...
Let's consider figurate numbers. Let n = number of circles along an edge Let t = the total number of circles used in the figure. For hexagons: t = 3n^2 -3n+1 n...
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