Khafre's Platonic Solids

Khafre's Pyramid is famous for it's simplicity, external and internal. The base width in royal cubits is equal to the ratio of 3 by the fine structure constant. The height of the pyramid is approximately two thirds the base width.

Below we see that if we equate the volume of Khafre's pyramid with that of a sphere as also that of the five Platonic Solids, namely the Tetrahedron, the Cube, the Octahedron, the Dodecahedron, and the Icosahedron then in all but one cases the diameter(sphere) and the side length(Platonic Solids) expressed in royal cubits is roughly a whole number.

The diameter of a sphere is 308.99, and the sides of:  the Tetrahedron are 507.96, the Cube are 249.04, the Octahedron are 319.99, the Dodecahedron are 126.32, and the Icosahedron are 192.02 units. Even though the sides of the pentagonal faces of the Dodecahedron are not close to a whole number, none the less by multiplying by 10 we get the number 1263.2 which reminds us of the isopsephy value of Khafre's Hellenic name 'Chephren' which is 1263.

ΧΕΦΡΗΝ = 600+5+500+100+8+50 = 1263  

Also, the perimeter of the Khafre's pyramid is equal to the ratio twelve by the fine structure constant. This leads to my name Spyridon.

ΣΠΥΡΙΔΩΝ = 200+80+400+100+10+4+800+50 = 1,644

12/α = 1,644.432