Greetings, fellow Polytopains! Springie ... This message is to announce the release of version 1.00 of Springie. Springie is a tensegrity simulation system,...
http://www.users.bigpond.com/dharmraj/Explore/RybCir.wrl If you have Cortona or other VRML or wrl viewer you can see the the first known intermeshing of the...
There are two pictures of one egg with three colors and interwoven designs that I posted in the photo area. Design is based on a rhombic dodecahedron. John...
... I've checked the pictures, and they appear to be based on an aqua tetrahedron intersecting with a red tetrahedron; in other words, a stella octangula. But...
The Vector Equilibrium/cubo-octahedron is not an empty set. The VE, IS the cosmic set, of parametering( systematic enclosure ) brackets( {} ), which contains...
I have the Vector Flexor with me. Notice that each square is a color of the rainbow with: Red opposite Green Orange opposite Blue Yellow opposite Violet ... ...
Does anyone know of a system that has been created that I could use to map points on a sphere. What I want to do is this: be able to assign coordinates to...
The Answer to me seems to be No: If the Cube is contained in the Sphere, or the Sphere is contained in the Cube, then there will be many combinations from...
Another alternative to the Hexahedron [Cube]: Using 7 points create a nested Octahedron. Diagonalize its center, then drop your 'Z' coordinate from its apex...
Concentric 'Spheres' with radii corresponding to each length along the Containing Cube tri-axis. The last Sphere contained will run short on volume shared...
Mike, Thanks for your response but I think you're missing the point (no pun intended.) I'm not looking for a way to map a cube onto a sphere or vise versa. ...
[Sorry, Outlook sent my last email before I answered anything!] ... This is just polar coordinates, taught in any high school :-) You have three values,...
Allen: Maybe I am 'missing the point' [no pun intended], but like you I like to get to the 'point of it all' [also no pun intended] (lol). Thought the...
... I think that you have to specify the polyhedral group per vertex of a polychoron, since each vertex can have its own polyhedral symmetry. For a polyhedron,...
... Wouldn't you just specify the polychoral symmetry group once instead? This would include the local symmetry of each polyhedron. Rob. -- Robert Webb...
The symmetry can be given by the Schlafli Symbol for regular polytopes. For non-regular polytopes there is the generalized Schlafli Symbol. I am just in the...
... http://mathworld.wolfram.com/SchlaefliSymbol.html http://mathworld.wolfram.com/QuasiregularPolyhedron.html ... See the generalized version of the Polytopal...
... Go check out http://en.wikipedia.org/wiki/Symmetry_group#Three_dimensions My suggestion: Go see "Symmetry" [from IBM Mathematics Peep Shows]. More details...
Many of these links are to the original Schläfli symbol. The Generalized Schläfli Symbol is an extension of the idea. I learned about the Generalized...
Many of these links are to the original Schläfli symbol. The Generalized Schläfli Symbol is an extension of the idea. I learned about the Generalized...
Hello, I just wannted to introduce myself, as I am new to this group. My name is Alexandria, and I have taken an intrest in all feilds of mathematics. I hope...
Thank you. I might go, but work has me very busy. Dan <polychoron@...> wrote:Anyone seriously interested in mathematical art should consider attending...
Greetings All, I am curious to know your opinions and belief's on M-theory,the theory formerly/also known as Strings? Do you believe it is the answer to the...
Did you see the latest in Synergeo at http://groups.yahoo.com/group/synergeo/message/22446 It seems as if someone is talking about stacking pool balls until...
Ah yes! P-Brain.... We have literature without plot, politics without principles, music without melody. Such is the status of our post modern universe. And...