http://www.rinusroelofs.nl/concordia/concordia-00.html http://www.rinusroelofs.nl/palthehuis/palthehuis-00.html I just came across some incredible photos of...
... Hi Michael, Sorry so long in getting around to this message. For best viewing widen you window to get the sine-wave pattern accurately. Some of the number...
Rybo, First, now many are looking at Jim Lehman's work. One girl flipping out as she was having dreams of some of the stuff prior. I have trouble following...
Rybo, We have another strong overlay where you say, "A Tetrahedron brought to zero volume creates a cube-octahedron. And that is an excellent illistration...
... Hi Mike, I tell stright out Mike I really dont understand most of what your trying to convey with your Pyramid anlge(s) nor some of the other stuff in you...
... Yes, it sure is a rectangle in Euclidean space. http://mathworld.wolfram.com/EuclideanGeometry.html http://mathworld.wolfram.com/EuclideanSpace.html But...
Rybo, I put a jpeg file up on the photos section of the Polytopia site. Just go to the site and click photos. I also put up another file, a drawing, this is...
... Oh I was lookijg in files. That mey be the problem. However if you name is not with the file then again there will be a problem. ... Just out of...
Rybo, Wonderful ! The pictures in the photo sections are easy to spot. One, you can see a pyramid shape, lines coming off the left side. Yahoo has done a...
... You can see another flattened cube-octohedron at http://mathworld.wolfram.com/Cuboctahedron.html Also, see http://mathworld.wolfram.com/Net.html...
... Yes I see it but not sure what to make of it. Its an equalateral triangle I presume with another line off to its left. Probably your 51 degerees angle. ...
... Thanks Alan, Yes this way of arriving at the VE/cubo-ocathedron does seem to be a viable alternative to the 12 around one sphere pack ergo perhaps this a ...
... Ah, "brought to zero volume" wouldn't have meant much to me without a picture :-) You can do this interactively in Stella by the way, even in the free demo...
In fact, if you scroll down in http://mathworld.wolfram.com/Cuboctahedron.html then you will notice the cubic close packing. There is a hyperlink that will...
Oh, wonderful, thank you, Click the B. Fuller drawings and look at the bottom right called E . With the two black lines you can see where you are looking up...
... wrote: An isosceles trapezoid is a convex quadrilateral that has one pair of opposite sides that have equal lengths and a second pair of opposite sides...
... By the way, I tried that in Stella. Yes, each side moves one-sixth of the way from the original positions, however they move one-third of the way WITH...
Alan, THANK YOU. God bless you. Wow. Now with this 'stella' you see below a rectangle moving into a square back to rectangle. Remember that the only other...
Alan, Thank you again ever so much. Bit by bit some confirmations are coming in. Here is a quote from Rybo, from his paper Sine Wave Landscape (I am guessing...
Music of the spheres? Interview with Gerald S. Hawkins by Monte Leach A radio astronomer reports on the mathematical relationships within the elements of crop...
I am amazed at the Stella program. It is so hard to visualize these concepts in 3-D, and tools such as these can be so useful. Now I was talking about the...
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