Hi All I wrote a primitive program for making some sorts of string art. I will include it in the next Packinon release, which I expect will be soon. Here are...
... Reflection is a 1D shadow of a 2D rotation. ... translation, glide reflection Reflection is a 2D shadow of a 3D rotation. ... axis],reflection-rotation,...
... Rob, I recognize that rhombi-cubo-octahedron. Here is another version discovered by Jim Lehman. http://www.blackcatphotoproducts.com/lehmanville.jpg Jism...
... Rob I recognize that rhombi-cubo-octahedron. Here is another version discovered by Jim Lehman. http://www.blackcatphotoproducts.com/lehmanville.jpg Jism...
Hi Alan ... The mirror method I suggested adds two (direct) pure rotation types to the 4D list, the rotation you say and also this rotation followed by another...
... Do you have a definition of these isometry types? For example, the identity can be considered a rotation through 0 degrees, or a translation through 0...
Hi John ... If you have access to a copy of Coxeter's Regular Polytopes, I believe that what you say is true by statement 12.21 on page 217. Adrian. -- Adrian...
So the number 10 and 24 stands out in Ramanajuans 'modular functions'. I would remind others of the quasi-commensuration of 4-fold ( octahedral group-order 24...
... 1D-Edges are joined at the 0D-vertex. ... 2D-Polygons are joined at the 1D-edge. ... 3D-Polyhedra are joined at the 2D-polygon. ... A 0D-point is an...
If the 24-cell has 24 spheres kissing a central sphere then we should be able to tranpose the Rhombic-Dodecahedra for the "spheres" as Rh- Dod. are the...
Michael Allyn Roy <http://MichaelAllynRoy.com/> has dedicated a geometric symbol for each life that ended due to the events of September 11th. This includes...
2nd Revision of System vs Structure( Renamed As 'Primary Cosmic Complementaries': A) 'Structure' as physical( or quasi-physical ) is eternally complementary...
12 Rh-Dods surround a central nuclear Rh-Dod in 3D. Now, replace the Rh-Dod with spheres in 3D. 24 24-cells surround a central nuclear 24-cell in 4D. Now,...
Structure as physical( or quasi-physical ) vs system as metaphysical is the/a, primary, apriori cosmic complementary duality. 1) The Vector Equilibirum( VE...
Hi All I have been looking at producing a GUI for my command line programs. It is difficult to decide on a cross-platform set of GUI tools. I have just been...
... I forgot to say that I have included support for displaying equal-sized ball packs too. Here is a diamond arrangement and drawn again as a ball pack ...
... Have you seen my program Great Stella? I wrote it in C/C++ and used OpenGL for the graphics. Standard Windows stuff for the GUI, which unfortunately...
Hi Rob ... I have heard good things about it, but haven't used it. ... I have seen it referenced quite often. ... I thought that would be the case, except an...
Hi Rybo ... Yes, I think the weave gives the true tensegrity shape for the regular polyhedra. For the quasiregular polyhedra it gives a similar, but not exact...
These remind me of some of George Hart's puzzles. See http://www.georgehart.com/puzzles/index.html John Berglund Adrian Rossiter <adrian_r@...> wrote: ...
... I have added tr_tet_tr_oct_cubo to this list. Each of the three polyhedra in this pack is surrounded by the other two. Here is a cross-eyed stereo view....
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