¶ Spherical Octahedron
← Spherical Octahedron | Spherical Octahedron →
RBF Definitions
“Here we have a spherical octahedron made out of the three great circles. But you cannot make them by folding up three great circles. It is impossible to fold it and have it come out. But you can fold six great circles. You can bring those six together and they will hawm make the spherical octahedron, but it is all doubled up. Now that ought not to surprise you because you remember that when we took the vector equilibrium and collapsed it, it became the octahedron and all the vectors were doubled, so this is fairly logical. This is six great circles but the first that I could make. I couldn’t make it with one, or two, or three, but I can make it with four. This is of six.”
“This is a very peculiar kind of folding . . . they never duplicate each other and never double up except in the one case where the octahedron made out of six are all doubled.”
¶ Citations
- Oregon Lecture #7, p. 269. + p. 270. 11 Jul’62
