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...
458
Michael Donovan
jayennseth
Jul 8, 2004 11:17 pm
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...
457
Dick Fischbeck
dick_fischbeck
Jul 8, 2004 9:57 pm
Alan Are the 3 triangles the same area? What are their perimeters? Thanks. http://mathworld.wolfram.com/GoldenGnomon.html Dick...
456
Michael Donovan
jayennseth
Jul 8, 2004 7:15 pm
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...
455
Michael Donovan
jayennseth
Jul 8, 2004 7:07 pm
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...
454
Alan Michelson
amichelson2002
Jul 8, 2004 5:48 pm
... 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...
453
Alan Michelson
amichelson2002
Jul 8, 2004 6:13 am
You can find more penta- stuff at: http://mathworld.wolfram.com/PenroseTiles.html http://mathworld.wolfram.com/Pentaflake.html ...
452
mcyberliver
Jul 7, 2004 6:34 pm
... 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...
451
Dick Fischbeck
dick_fischbeck
Jul 6, 2004 10:16 pm
Hi Everyone Here is the schedule for the incoming Bridges Conference. Several presentations are literally synergetic. Peace Dick From: ...
450
Michael Donovan
jayennseth
Jul 6, 2004 5:44 am
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...
449
Michael Donovan
jayennseth
Jul 6, 2004 5:32 am
The 12 around one was focused on first. There are two 12 around one patterns. In this one connecting the centers of the outside 12 produce the...
448
Alan Michelson
amichelson2002
Jul 6, 2004 4:18 am
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...
447
Robert Webb
robertcharle...
Jul 6, 2004 4:12 am
... 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...
446
rybo6
os_jbug
Jul 6, 2004 3:36 am
... 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 ...
445
rybo6
os_jbug
Jul 6, 2004 3:32 am
... 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. ...
444
rybo6
os_jbug
Jul 6, 2004 3:32 am
... Heres i the rub Alan. Orginally I think think Mike is foused on the polarized version of the 12 around one spheres in regards to his 51.degree...
... You can see another flattened cube-octohedron at http://mathworld.wolfram.com/Cuboctahedron.html Also, see http://mathworld.wolfram.com/Net.html...
441
Michael Donovan
jayennseth
Jul 6, 2004 1:45 am
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...
... 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...
438
Michael Donovan
jayennseth
Jul 5, 2004 10:19 pm
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...
437
Alan Michelson
amichelson2002
Jul 5, 2004 8:47 pm
... The Least Common Multiple of (6,10) is 30. The Greatest Common Divisor of (6,10) is 2. ... ...
436
Alan Michelson
amichelson2002
Jul 5, 2004 6:56 pm
... Yes, it sure is a rectangle in Euclidean space. http://mathworld.wolfram.com/EuclideanGeometry.html http://mathworld.wolfram.com/EuclideanSpace.html But...
435
rybo6
os_jbug
Jul 5, 2004 3:59 pm
... 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...
434
Michael Donovan
jayennseth
Jul 5, 2004 2:58 am
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...
433
Michael Donovan
jayennseth
Jul 4, 2004 5:50 pm
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...
432
rybo6
os_jbug
Jul 4, 2004 4:16 pm
... 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...
431
allenlubow@...
phi16
Jul 4, 2004 1:11 am
http://www.rinusroelofs.nl/concordia/concordia-00.html http://www.rinusroelofs.nl/palthehuis/palthehuis-00.html I just came across some incredible photos of...
430
mcyberliver
Jul 3, 2004 7:12 pm
Can somebody explain to me why a Saccheri quadrilateral is not a rectangle, it sure looks like one....
