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3397
Alan/rybo: Yes, 6-fold polyhedra are flat planes. When hexagons are arranged as inner and outer elements (for example place one hex on a table and surround it...
Jim Lehman
lehman98660
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Aug 1, 2006
2:15 pm
3398
Jim, does mean that there is no such thing as 3D( not flat 2D ) 6- fold polyhdra i.e. there is no polyhedra that can be spun on its axis and have 6 or more...
rybo6
os_jbug
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Aug 1, 2006
4:41 pm
3399
Hi rybo, That I don't know....symmetries are not my strong point. Alan is probably our best bet here. Jim...
Jim Lehman
lehman98660
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Aug 1, 2006
4:52 pm
3400
But Jim its the symmetries that defines 4-fold, 5-fold etc.... Rybo...
rybo6
os_jbug
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Aug 1, 2006
5:17 pm
3401
Hi rybo, Its the methods for describing symmetry that often leaves me in a daze, such as reflective, mirror, rotational, non-rotational, fold, etc. Jim...
Jim Lehman
lehman98660
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Aug 1, 2006
6:23 pm
3402
Try the Polyhedral Groups! <http://mathworld.wolfram.com/PolyhedralGroup.html> ... daze,...
Alan Michelson
a.michelson
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Aug 2, 2006
6:20 am
3403
Free Ipod Nano, choose your favourite color http://www.dontwastecomehere.com/mzsbqrh...
muriel-berggren570@...
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Aug 3, 2006
2:50 pm
3404
http://hypergeometricaluniverse.blogspot.com/2006/08/hyperspherical- universe.html We might have people here that are more geometrically inclined than I am… ...
rybo6
os_jbug
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Aug 4, 2006
1:43 am
3405
OK ok, I have to jump in the pi filled waters. What I find in my Pandora's Sphere studies: (What is Pandora's Sphere: ...
Jim Lehman
lehman98660
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Aug 29, 2006
6:54 pm
3406
Hi Jim In case I haven't conveyed this link before this, check out the crazy French physicists Petit's wild page on curvature at a point. It may be relevant to...
Dick Fischbeck
dick_fischbeck
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Aug 29, 2006
9:55 pm
3407
(My ref. note: Cc: to GeoJourney for archive purposes. I saw Tom a few days ago at our 50th HS class reunion - Springfield, OR) Hi Tom, Google did a pretty...
Jim Lehman
lehman98660
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Aug 29, 2006
10:44 pm
3408
Hi Dick, Thanks for the reference. I just want you to know that the recent tone at synergeo has been disturbing to me and that I have high regards for your...
Jim Lehman
lehman98660
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Aug 29, 2006
11:35 pm
3409
Jim, I see your L405 convex tetrahedron, however, ...it is an edge truncated tet. ergo .... it has 10 faces not 4 ergo not a .5 or 2F tet. IMHO Rybp...
rybo6
os_jbug
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Aug 30, 2006
3:06 am
3410
http://www.myfonts.com/person/lincoln/thomas/...
Alan Michelson
a.michelson
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Aug 30, 2006
3:43 am
3411
Alan, Thanks for the link! Jim...
Jim Lehman
lehman98660
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Aug 30, 2006
4:40 am
3412
Hi rybo, Yes, L405 is an edge truncated tet. We need a different discussion for the .5 aspect that I speak of. Go to page 14 of the PDF and see L1302 and the...
Jim Lehman
lehman98660
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Aug 30, 2006
5:00 am
3413
http://groups.yahoo.com/group/GeoJourney/message/3275 http://groups.yahoo.com/group/GeoJourney/message/2123...
Alan Michelson
a.michelson
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Aug 30, 2006
5:34 am
3414
Thanks, Jim I don't know what that was all about. It's all over now. I guess I hit a nerve. Either that or something is going on that I don't know about. I'm...
Dick Fischbeck
dick_fischbeck
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Aug 30, 2006
8:29 pm
3415
Dick, I think others were surprised and confused as well. This may well be one of those ...this too shall pass... moments. Cheers, Jim...
Jim Lehman
lehman98660
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Aug 30, 2006
8:46 pm
3416
... Jim, I mispoke, I do see how Pandora is .5F. Also L412 makes it clear to me how the distance from on of the tets. points to the other has value of one( 1 )...
rybo6
os_jbug
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Aug 31, 2006
12:52 am
3417
rybo, It looks like we are both on the same track! Jim...
Jim Lehman
lehman98660
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Aug 31, 2006
1:26 am
3418
Jim, I was wondering if Frequency is seen as a resultant of subidividing the polyhedron( ergo it edges and faces ) as Fuller suggests, then is'nt your .5...
rybo6
os_jbug
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Aug 31, 2006
5:51 pm
3419
rybo, If 1/2 F is allowable in some manner, then yes, frequency may be useful here. Also see the graphics for Fuller's 2 and my .5; ...
Jim Lehman
lehman98660
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Aug 31, 2006
9:52 pm
3420
... useful ... of 2) [based on the unit <http://www.buckminster.info/Index/U/Unit.htm> radius] radius =1. diameter=2. ... .5) [based on the unit diameter ...
Alan Michelson
a.michelson
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Aug 31, 2006
11:48 pm
3421
... My point again( possibly not valid ) is this, Fuller sugegests that we only have Frequencey by subdivsion ergo, can your subsividing of the radius value...
rybo6
os_jbug
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Sep 1, 2006
12:35 am
3422
rybo, ... I wonder if you would be willing to follow this with my accounting, then translate, if you wish, back to Fuller's usage? If so, my tetrahedron has an...
Jim Lehman
lehman98660
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Sep 1, 2006
5:56 am
3423
Alan, Yes, we have to be clear about whether we are talking about two radius units, making a radius based diameter of 2 or a unit based diameter that has a...
Jim Lehman
lehman98660
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Sep 1, 2006
6:15 am
3424
... I think I have. See reply to message L405-L411 Rybo...
rybo6
os_jbug
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Sep 1, 2006
6:54 pm
3425
Kirby, Thanks for bringing the non-flat poly back in the scene. My poly that I referred to as the "black cat" (I left a model with you as I recall) I also...
Jim Lehman
lehman98660
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Sep 1, 2006
11:37 pm
3426
... Rob I recognize that rhombi-cubo-octahedron. Here is another version discovered by Jim Lehman. http://www.blackcatphotoproducts.com/lehmanville.jpg Jims...
rybo6
os_jbug
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Sep 4, 2006
12:56 pm
Messages 3397 - 3426 of 3955   Oldest  |  < Older  |  Newer >  |  Newest
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