Rheticus had suggested that there were six because six was the first perfect number (a perfect number is one that is the sum of its proper factors, 6 = 1 + 2 + 3, 28 = 1 + 2 + 4 + 7 + 14, etc.; these numbers had been the subject of study since Pythagorean times) but Kepler did not consider this a likely reason. Koyre (1973) finds it curious that neither Rheticus nor Kepler came up with the reason that the Universe was created in 6 days.

Table 6.1. Ratios of planetary distances according to Kepler's theory of regular solids

Kepler Copernicus

Saturn/Jupiter Jupiter/Mars Mars/Earth Earth/Venus


Tetrahedron Dodecahedron

Icosahedron Octahedron

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