Kepler explained the reason for the number of the planets and the ratios between their orbital diameters in terms of a complex nesting of spheres and the five Platonic solids. Each sphere represents a planetary orbit and each orbit circumscribes one of the solids. Thus the solids function as spacers between the planetary orbits.

Planetary Orbit
Circumscribed Platonic Solid
Mercury
Icosahedron
Venus
Octahedron
Earth
Dodecahedron
Mars
Tetrahedron
Jupiter
Cube