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...
Here's a great site I came across that works with origami (in Spanish (with pictures)). There's a few interesting shapes with instructions for building. Allen...
... more precisely http://www.bayarea.net/~kins/thomas_briggs/ExploringHyperspace.pdf -- Anton Sherwood, http://www.ogre.nu/ "How'd ya like to climb this high...
Good find Sid. Ive been aware of the chirality of living vs non- living for many years now, ..however, I was not aware that 50% of amino acids created in ...
Thanks for clearing that up John.... very helpful! :) John Berglund <anisohedral@...> wrote: Let's consider figurate numbers. Let n = number of circles...
John, are these formulas for 'centered' figurate numbers, or just figurate (non centered)? dar kone <zarkorgon@...> wrote: Thanks for clearing that up...
Hi, I'm not sure what you mean by "centered." If you mean that there is a circle in the center of the figure, then all the hexagons are centered and every...
... Where's the chirality? From here it appears always to have Th symmetry. -- Anton Sherwood, http://www.ogre.nu/ "How'd ya like to climb this high *without*...
It starts and ends as an octahedron, but it passes through a point where the faces align with 8 faces of an icosahedron (the other 12 faces missing). Chiral ...
It's a jitterbug <http://bfi.easystorecreator.com/Browse_Item_Details.asp/Item_ID/59/cate\ g_id/3/parent_ids/0,3/Name/JitterbugVector_Flexor> . Just imagine...
The helix is chiral — the polyhedron has mirror symmetry. ... I believe that he was talking about chirality of the helix — the polyhedra are not chiral....
http://www.rwgrayprojects.com/synergetics/s12/p3830.html#1238.51 ...."Scheherazade Numbers: 47: The first prime number beyond the trigonometric limit is 47....