... Hi Jim: Socket bases for rhombic dodecahedra is of great interest to me. A classic example would be the quarter tets that can be removed from the VE's...
3328
Jim Lehman
bcat@...
Sep 1, 2001 5:00 pm
Steve, I must apologize...I was using this example in a similar vein as Flatland. These "Hexlanders" had a similar limited vision. Enough said...on to more...
3329
Jim Lehman
bcat@...
Sep 1, 2001 5:07 pm
Alan, thanks for laying out some background related to the concave dodeca. I think this underlines the value of these forums...we each stimulate each other....
3330
Steve Waterman
swaterman117@...
Sep 1, 2001 6:26 pm
Jim, < Enough said. Agreed < I'm ok with chords and arcs. Also the bow and the bow string. Play on. I will patiently await the sounds/sights/feeling of ...
3331
John Brawley
jbrawley@...
Sep 1, 2001 6:41 pm
... ideas? I explained "straw man" and why you were incorrect in its use applied to my message(s). I see that you still think I'm "using" S. in this way. To be...
3332
Steve Waterman
swaterman117@...
Sep 1, 2001 9:19 pm
JB, < Suppose for example that we took _any_ part of a Tverse network large < enough to have, say, a few thousand struts, and an IVM with an equal < number of...
3333
rybo6
rybo6@...
Sep 1, 2001 9:36 pm
... No im not familiar with this irregualar, icosatetrahedron. But i love the animation. Might be interesting to cross the Rh Do with ico. and see what we...
3334
Jim Lehman
bcat@...
Sep 2, 2001 6:03 am
... I think arc is a special limited case of circumferential, but arc will do for where I'm heading with this. ... This is most important. The chord or bow...
3335
Jim Lehman
bcat@...
Sep 2, 2001 6:08 am
... Steve, thanks for being receptive. I plan to shoot some bows and strings your way soon for discussion. Jim...
3336
rybo6
rybo6@...
Sep 2, 2001 2:56 pm
Alan wrote" ... Dear Alan, Jims LVM/PVM is a vector matrix thats coincides with IVM but it commensurates the 4 and f-fold geometry. The graphic your refering...
3337
rybo6
rybo6@...
Sep 2, 2001 3:50 pm
Ive spiced/spiked Kirbys rendition of concave pen. dod. Rybo...
3338
Jim Lehman
bcat@...
Sep 2, 2001 4:30 pm
Rybo, thanks for keeping track of my graphics (your attached model). As I review your comments to Alan, I realize how we established our own terminology. I...
3339
Jim Lehman
bcat@...
Sep 2, 2001 4:34 pm
... I like this lighter, friendlier aproach to the con pen dodec Jim...
3340
John Brawley
jbrawley@...
Sep 2, 2001 4:53 pm
... many ... Thank you, Steve. ... network. ... myself). I must demur: you used the words "total connectivity," and it's my main VE-related gripe that the CCP...
3341
Jim Lehman
bcat@...
Sep 2, 2001 5:19 pm
Steve, attached is the form I have been calling the curved VE. I like your input in calling the bow string under the arc, chords. This form for the time...
3342
Steve Waterman
swaterman117@...
Sep 2, 2001 5:56 pm
JB, Let's have a discussion. Personally, I prefer to try and take things an issue at a time. You have stated your position nicely and we can get to some core...
3343
Steve Waterman
swaterman117@...
Sep 2, 2001 6:30 pm
Jim, These are all straight lines? If so, then I would not refer to them as curves, but as a series of lines segments that generally form into the shape of a...
3344
Steve Waterman
swaterman117@...
Sep 2, 2001 7:13 pm
Jim, With those two points, you need the origin at 0,0,0. Draw a lines from the two points to 0,0,0...as that is the plane to draw upon. steve...
3345
Alan Ferguson
aferg@...
Sep 2, 2001 8:50 pm
... If I understand this correctly, I think you are going to need some of those purple shapes that look like McDonalds apple pie containers that I saw in your ...
3346
rybo6
rybo6@...
Sep 3, 2001 12:34 am
... If im out of place in using defunct terminology [e.g.L. Poly, cabin, spire] im sorry. Seems ive been in this position before where my terminology about...
3347
rybo6
rybo6@...
Sep 3, 2001 1:14 am
... That is correct. Coincidentally the first time i saw them i said too Jim the same as you about Mc-pie containers. : -) These complex, irregular octahedra...
3348
rybo6
rybo6@...
Sep 3, 2001 1:48 am
... Very interesting and nice choice of color. ... How many of each? ... Cool! Here is URL in Synergetic for Fullers concave VE for comparison. Jims is...
3349
Jim Lehman
bcat@...
Sep 3, 2001 2:30 am
Rybo, no problem with your terminology...I'm just trying to see what it might look like to Alan without the background we share. Jim...
3350
rybo6
rybo6@...
Sep 3, 2001 3:29 am
Jim, You say that at core of each convex tetrahedron is a tetrahedron instead of a octahedron. I see how you do that. By drawing triangles inside of triangle...
3351
rybo6
rybo6@...
Sep 3, 2001 3:39 am
... I meant to spell Mamboza not bozo. Sorry Jim. Please dont feed me to your doggie / wolf? : -) Rybo...
3352
Jim Lehman
bcat@...
Sep 3, 2001 4:54 am
Rybo, no offense. I think your doggie drawing is great. I think as "curvature" enters the picture the forms become more organic. Jim...
3353
Jim Lehman
bcat@...
Sep 3, 2001 4:59 am
... I need to be more clear here. The core or central form of the convex tetra is a regular octahedron. The tetrahedron I refer to is the inner form that ...
3354
Jim Lehman
bcat@...
Sep 3, 2001 5:04 am
... Yes. ... Ok. How about chords? ... Agreed. ... I'm not up to speed in SketchUp to see if I can get curves working for me. For the time being using these...
3355
Jim Lehman
bcat@...
Sep 3, 2001 5:07 am
... Steve, you lost me here. Are we in "curvature" or earlier reference? Jim...
3356
Jim Lehman
bcat@...
Sep 3, 2001 5:36 am
... Yes. ... Right. The McDonald's container is needed. ... Here is a brief description of forming the rhombicuboctahedron (L.poly): Construct a cube octa...
