http://www.npr.org/templates/story/story.php?storyId=9892526 NPR : A New Tower to Soar over Paris Morning Edition All Things Considered Day to Day Talk of the...
http://www.miskatonic.org/godel.html Gdel's Incompleteness Theorem Miskatonic University Press William Denton < wtd@... > Burton and Gordon | Fictional...
Steve, I don't think I can be of much help here. There is no single space filler for what you describe. My L442A is a packing of icosas edge to edge as they...
Steve, I am correcting my comments; 1- Regular pentagonal dodecahedra have a singular all-space filler: The concave pentagonal dodecahedron. If you need...
The 10 Great Circles of the Icosahedron are parallel to its triangular faces [and perpendicular to the ten diagonals of the Dodecahedron]. But you're right;...
Alan, I wonder if L9645.wrl shows what you are looking for? The attachment will be viewable only to those with individual email from geojourney. Jim...
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...
http://www.codefun.com/Geometry_quantum.htm ...."It is curious that dodecahedrons cannot fill space, but dodecahedral planes can. ....All the Platonic and...
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...
... http://www.uwgb.edu/dutchs/graphic1/polyhedr/arpoltil.gif <http://www.uwgb.edu/dutchs/graphic1/polyhedr/arpoltil.gif> These are k-uniform tilings ...
... dodecas). ... Convex penta dodecahedra need concave penta dodecahedra to fill space. Convex rhombic dodecahedra don't need concave rhombic dodecahedra to ...
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, 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...
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...
... 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...
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...
... 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...
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...
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...
... 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....
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...
... 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...
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...
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