Al Can we say curvature for a sphere is the inverse of area, either referring to total area or local area? If so, then: K(tet)=1/4 K(octa)=1/8 K(icosa)=1/20 ...
Dick, N and M are angular deficits. Curvature requires local area. This approach is along the lines of creating a map for a structure and then calculating...
Al or anyone Is curvature and steradians basically the same measure? Is curvature a measure of area? What is the value of a synergetic steradian? Dick...
... structure and then ... the map. ... Bucky talks ... Curvature is more ... Al See: http://home.att.net/~numericana/data/polyhedra.htm I am not proposing...
... Curvature requires local area. Al We can add local curvature elements/areas into a whole structure, or we can decompose a whole structure into local ...
Dick, I don't know how much extra time you have, but what would be extremely helpful for someone to do the following: 1.) Start taking polyhedra and calculate...
Dick, Curvature is angle (no units) divided by area. The units of curvature is 1/m^2. Something else to think about is the factor G/c^2, (G=gravitation ...
Dick, I think that these are great questions. Do you have the time to take one or two structures and figure out the curvature at each point? Then we could see ...
... extremely ... Al OK...as long as I don't have to count area more tha once. I won't assign the same area to 2 vertexes. Each vertex has its own area. To get...
Dick, You can use the constants of nature to transform any units to distance. This is the idea behind Planck units. Al Bernstein Signal Science, LLC 21010...
... be ... point. ... Interestingly, K(triangle)=(2/3)/(2/3)=1 K(5)=1/3 K(8)=1/6 For omnitriangulate polyhedra whose n vertexes all have the same alpha and...
Hi All I got a copy of a UK paper last week which included a picture of a London skyscraper which seems to have been based on a polar zonohedron. Here are...
... I've generated an image and compared it to the building and the building seems to have extra horizontal rings of rhombi making it longer and more...
Al Here is someone's post from sciforums that might be similar in track to what you mentions about G/c^2, I don't know. He uses tradition math but we might be...
Dick, G is not known out to many decimal places. Generally, the gravitational and electrostatic forces differ by a factor of 10^42, Gravitation being weaker by...
Dick, According to quantum mechanics, photons are in an in determinant state until measured. If you measure a photon that is monochromatic (is only on ...
Dick, Let me know if you any other virus notifications from me. I do not put attachments on listserver email. I may have to do a virus scan. Al Bernstein ...
Very cool pictures! Pneumatic structures in Germany. A fast connection is helpful. http://www.uni-stuttgart.de/ilek/Lehre/leichtbau/L_11sw.pdf Dick ...
Note also that in a sense attempts to define the photon suffer from a "Catch-22" : No one can observe a photon in flight. You must _terminate_ the photon's ...
Whole bunch of other interesting stuff here one up in the directory from the pdf far below. http://www.uni-stuttgart.de/ilek/Lehre/leichtbau/ Probably worth...
... This question can also be phrased generally by asking "why do we have limits?" 1) the Universe would not exist if there were not limits and this same ...
