From the last video, although I was able to derive a satisfactory Inner and Outer Ghost Numbers from the Primary Numbers alone, Central and Outer Ghost Numbers being equal, that's not how a Magic Ghost Number Cube works. It works with a special Cubic Octrant calculation of the 4 Spatial-Diagonals that cut thru the cube. It increases the Central Ghost Number by three times itself, a Cubic Number.
These higher polyhedra should act the same and produce 6 spatial-diagonals for the dodecahedron and 10 spatial-diagonals for the icosahedron and I believe increase the Central Ghost Number by 6 and 10 times, as well.
I'm looking for the true Inner Ghost Numbers which will give me the true Outer Ghost Numbers at their vertices, interior and exterior.
The last video:
• All Central, Inner and...
All my research, so far, into the Magic Ghost Numbers:
• Latest Advances in My ...
An Afterthought: While I was uploading this video, I wondered to myself what would happen if I was to exchange each interior polyhedra with each other, dodecahedron and icosahedron being the inverse to each other. Would their resulting Inner end Outer Ghost Numbers make any sense and how would those ghost numbers stand in relation to the two entirely different Central Ghost Numbers of each polyhedra?
Is there a more fundamental relationship among the ghost numbers of all inverse Platonic Solids? The octahedron is the inverse of a Magic Ghost Number 'Cube' and a tetrahedron, flattened, becomes the basic Magic Ghost Number Square. All Platonic Solids would be accounted for; the sphere being a generalization of all polyhedra.
#linearalgebra #matrix #matrices #platonic #polygon #polyhedron #polyhedra #dodecahedron #icosahedron #spatial #diagonal #diagonalmatrix #innerproductspace