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3650
I am making this post to document what I see as a better understanding of the role the Pandora plays in the IVM. The IVM and its internal patterning of VEs...
Jim Lehman
lehman98660
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Jul 12, 2007
4:42 pm
3651
http://www.codefun.com/Geometry_quantum.htm ...."It is curious that dodecahedrons cannot fill space, but dodecahedral planes can. ....All the Platonic and...
rybo6
os_jbug
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Jul 13, 2007
12:08 pm
3652
rybo, Thanks for bringing Rafiki back in the picture. We know that penta dodecas CAN fill space (along with concave dodecas). I like the connection being made...
Jim Lehman
lehman98660
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Jul 13, 2007
5:12 pm
3653
... http://www.uwgb.edu/dutchs/graphic1/polyhedr/arpoltil.gif <http://www.uwgb.edu/dutchs/graphic1/polyhedr/arpoltil.gif> These are k-uniform tilings ...
Alan Michelson
a.michelson
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Jul 13, 2007
5:46 pm
3654
... dodecas). ... Convex penta dodecahedra need concave penta dodecahedra to fill space. Convex rhombic dodecahedra don't need concave rhombic dodecahedra to ...
Alan Michelson
a.michelson
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Jul 13, 2007
7:42 pm
3655
Jim, I read your IVM contraction/compress scenario twice and will try to comment, tho, you've covered many of the angles and poins of consideration. Anyway, I...
Rybo
os_jbug
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Jul 14, 2007
2:15 pm
3656
rybo, Thanks for your response. As you, I welcome any feedback. I honor your interest in bringing analogy to the sterile world of geometry and in using...
Jim Lehman
lehman98660
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Jul 14, 2007
3:43 pm
3657
REF: Attach: L1798C & L1361 rybo, ... Please see L1798C. Note that the octahedron that would normally be a spacer between VEs is missing now as a result of...
Jim Lehman
lehman98660
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Jul 15, 2007
2:12 am
3658
... So, you have merged/overlapped and to some degree/distance, two larger, 2-F VE's in that graphic? Inside there are two 0-1 Fre. VE's, inside of the Pandora...
rybo6
os_jbug
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Jul 15, 2007
3:30 am
3659
rybo, ... Those larger VEs are 1-F. ... Those little ones are .5-F. I understand that this is not allowed in Syn. Please keep in mind, that the Pandora is...
Jim Lehman
lehman98660
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Jul 15, 2007
5:00 am
3660
... Ok, Now I understand. ... Ok, a .5 VE. Thanks for clarification there Jim. Yeah, I am aware that the Pandora represents the core of a 0/1 Fre. VE. It was...
rybo6
os_jbug
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Jul 15, 2007
11:54 am
3661
1) i see that teh two 0/1 Fre. VE's overlap and wonder what was the previous geometry, within context of the greater IVM, between those two VE's center and...
rybo6
os_jbug
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Jul 15, 2007
12:22 pm
3662
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motorrider0173
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Jul 15, 2007
3:02 pm
3663
rybo, ... Please see L478C. Disregard the curved pods for now, they are not important for this discussion. The open space between these 1-F VEs is where the...
Jim Lehman
lehman98660
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Jul 15, 2007
3:35 pm
3664
... Ummm, yeah I see L478C but it is hard for me to make out what new geometry is created between the two 0/1 Fre. VE centers. ... Oops, I knew that....
rybo6
os_jbug
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Jul 15, 2007
4:07 pm
3665
rybo, ... Yes, this is difficult to see because there are no new geometries, there are only shared vectors from one to the other. ... This is the final B&W...
Jim Lehman
lehman98660
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Jul 15, 2007
5:17 pm
3666
... I took computer to wifes offeice to use broadband and inloaded skup 6 abd te b/w PDF Pandora. It is the same one I have already. The color version I have...
rybo6
os_jbug
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Jul 15, 2007
6:29 pm
3667
Jim, I cant drag and drop those graphic in email.. I mean, i can but they do not maintain there 3D integrity. If I recall correctly, you sent me the graphics...
rybo6
os_jbug
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Jul 15, 2007
6:56 pm
3668
... No, it's octahedron. See the cell_0{3,4,3,3} <http://home.inreach.com/rtowle/Polytopes/cell_0%7B3%2C4%2C3%2C3%7D.jpg> from Polytopes....
Alan Michelson
a.michelson
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Jul 15, 2007
7:10 pm
3669
Hi Alan, Yes, octahedron. I spotted this error after sending and a re-read. Thanks for your critical eye. Jim...
Jim Lehman
lehman98660
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Jul 15, 2007
9:10 pm
3670
rybo, ... The polyhedra that are between Pandoras are indeed polyhedrons. The interior of Pandoras is where the "tips" including the vertices of the curved...
Jim Lehman
lehman98660
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Jul 15, 2007
9:25 pm
3671
rybo, Attached is a sketchup 3 file. See if you can open it. Jim...
Jim Lehman
lehman98660
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Jul 15, 2007
9:31 pm
3672
Yes Jim it opens in Skup 6 no problem. I can select areas, spin etc... I'm very rusty on the basics tho. Also I don't think you can open anything done in a...
rybo6
os_jbug
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Jul 15, 2007
9:46 pm
3673
However, should I ever send you a skp, I can save in 6,4,4 and 3. Rybo...
rybo6
os_jbug
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Jul 15, 2007
9:53 pm
3674
... Ok, I see that they are all curved continuations from inside Pandora, so, this appears to me to men that the only straight lines in the Pandora Matrix(...
rybo6
os_jbug
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Jul 15, 2007
10:15 pm
3675
rybo, ... I can only open files up to Version 3 with mine....
Jim Lehman
lehman98660
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Jul 15, 2007
11:32 pm
3676
rybo, For now, be sure and save in version 3. Jim...
Jim Lehman
lehman98660
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Jul 15, 2007
11:35 pm
3677
... No problem as I see now I can save as ver.3 I just grabbed the stereo-pair and spun them with the orbital tool that is my favorite tool. Very cool....
rybo6
os_jbug
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Jul 15, 2007
11:38 pm
3678
rybo, ... The straight lines are the lines on the Pandora exterior (edges), the lines on the core poly (edges) inside the curved convex tetrahedron, the lines...
Jim Lehman
lehman98660
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Jul 15, 2007
11:45 pm
3679
Jim, by turning the stereo-pair, I now see that the Pandoras are parameterd/framed by your 0/1 Fre. invisible bench cube, whereas, the yellow VE's are...
rybo6
os_jbug
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Jul 15, 2007
11:49 pm
Messages 3650 - 3679 of 3955   Oldest  |  < Older  |  Newer >  |  Newest
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