¶ Modules
← Module: A and B Modules: One-Eighth Octahedron | We find these things getting longer and thinner →
Cross Reference
A and B: Tetrahedra. Constant Volume.
“Now we come to an interesting consideration of the tetrahedron. This problem I am going to show you, I was told by Dr. Einstein’s mathematical assistant from Princeton in about 1947 that this was his mathematical Ph.D. problem that got him his job with Dr. Einstein. Here is an aluminum tube and another aluminum tube (See Figure D, of SYNERGETICS Illustration #26.) They are the opposite edges of a tetrahedron. Notice that the opposite edges of the tetrahedra are at 90 degrees to each other. They have been processed to each other. There are six edges of a tetrahedron and each of them precess to the opposite at 90 degrees to it.” The two discreted edges of the tetrahedron represented by the two aluminum tubes can move anywhere along their respective axes. “They will oscillate on these lines and they will produce all kinds of asymmetrical tetrahedra, but we find that their volume always remains unit” by virtue of their constant base area and identical altitudes.
"You can see why this is so. The A particle and the B particle start with the unit base and add unit altitude, so I have another unit of altitude and it has the same base, it is just superimposed on it, and it has the same volume, a volume of one.
A and B Quanta modules SEC 933.01 (Gray) + 05
¶ Cross-References
- Figure D
