http://groups.yahoo.com/group/synergeo/ synergeo Wed, 10 Feb 2010 14:06:56 GMT os_jbug http://groups.yahoo.com/group/synergeo/message/57683 http://groups.yahoo.com/group/synergeo/message/57683 There are 31 primary Great Circle-like Polygonal( GrCP ) derivatives of the 5-fold icosahedron. ....{ three sets specifically as 6, 10 and 15 = 31 ) There is Wed, 10 Feb 2010 08:23:18 GMT coyote_starship http://groups.yahoo.com/group/synergeo/message/57682 http://groups.yahoo.com/group/synergeo/message/57682 ... sqrt(8) also good. Plus sometimes we tire of sqrt, prefer ... 1.4142135623730951 The visualization is what you'd expect, say an equilateral triangle of Wed, 10 Feb 2010 06:34:03 GMT Alan M http://groups.yahoo.com/group/synergeo/message/57681 http://groups.yahoo.com/group/synergeo/message/57681 ... That's right; you noticed that I later mentioned that in message #57676 (algebraic calculations of Rybo's numbers)! Wed, 10 Feb 2010 06:01:28 GMT coyote_starship http://groups.yahoo.com/group/synergeo/message/57680 http://groups.yahoo.com/group/synergeo/message/57680 http://bfi.org/our_programs/bfi_community/synergetics/synergetics/nctm_embraces_synergetics Kirby Wed, 10 Feb 2010 04:48:30 GMT coyote_starship http://groups.yahoo.com/group/synergeo/message/57679 http://groups.yahoo.com/group/synergeo/message/57679 ... Also 2*sqrt(2). Kirby Wed, 10 Feb 2010 03:31:34 GMT John Brawley http://groups.yahoo.com/group/synergeo/message/57678 http://groups.yahoo.com/group/synergeo/message/57678 I wonder how long those t-spheres took to calculate/render... Large object :: many springs.... Gerald programs in java mostly; can those possibly be _real Wed, 10 Feb 2010 03:05:31 GMT Alan M http://groups.yahoo.com/group/synergeo/message/57677 http://groups.yahoo.com/group/synergeo/message/57677 ... Dymaxion Conversion Factor Constants; 1. > Linear Conversion Factor is (9/8)^(1/6) 2. > Areal Conversion Factor is (9/8)^(1/3) 3. > Volumetric Conversion Wed, 10 Feb 2010 02:09:35 GMT Alan M http://groups.yahoo.com/group/synergeo/message/57676 http://groups.yahoo.com/group/synergeo/message/57676 ... specific ... 1. > Edge-value is one(1) 2. > Surface diagonal is SQRT(2) 3. > Volume-value is one(1) 4. > Regular-tetrahedron edge-value is SQRT(2) ... 5. > Wed, 10 Feb 2010 01:28:53 GMT Alan M http://groups.yahoo.com/group/synergeo/message/57675 http://groups.yahoo.com/group/synergeo/message/57675 For your information, (SQRT(2))^3 = SQRT(2)^3 = SQRT(2^3) = SQRT(8) Also, go see synergeo : Messages : 35243?36426 Wed, 10 Feb 2010 01:22:57 GMT Dick Fischbeck http://groups.yahoo.com/group/synergeo/message/57674 http://groups.yahoo.com/group/synergeo/message/57674 http://www.youtube.com/watch?v=epjrXvOlbcI Wed, 10 Feb 2010 01:19:38 GMT Dick Fischbeck http://groups.yahoo.com/group/synergeo/message/57673 http://groups.yahoo.com/group/synergeo/message/57673 "Torturing a tensegrity sphere..." http://www.youtube.com/watch?v=-6I3utbJ1M8 Wed, 10 Feb 2010 01:15:32 GMT Dick Fischbeck http://groups.yahoo.com/group/synergeo/message/57672 http://groups.yahoo.com/group/synergeo/message/57672 Adrian writes: ... Given the nice coordinates I have made another model showing how the tensegrity icosahedron can fit into the IVM Wed, 10 Feb 2010 00:02:10 GMT Alan M http://groups.yahoo.com/group/synergeo/message/57671 http://groups.yahoo.com/group/synergeo/message/57671 ... You had an eight instead! Tue, 09 Feb 2010 23:59:00 GMT rybo6 http://groups.yahoo.com/group/synergeo/message/57670 http://groups.yahoo.com/group/synergeo/message/57670 A cosmically generalized ?cube? a.k.a. __The Cube__ has no specific Edge-Values(EV?s). All of the following cubes have specified edge-values ergo they Tue, 09 Feb 2010 18:08:04 GMT coyote_starship http://groups.yahoo.com/group/synergeo/message/57669 http://groups.yahoo.com/group/synergeo/message/57669 This thread at the Math Forum (Drexel University) has a pretty clear derivation and demonstration of the synergetics constant to the 3rd power, what Fuller