10 a. Snub cube 32/3 6/4 from truncation of cube 6/4

Data

The distance from the centre of the cube to the centre of the square is EP/2.

The distance from the centre of the snub cube to the centre of the square (red) is EA×1.14.

These two distances are equal, thus EA = EP×0.44.

The short distance between the original cube edge and the corner of the snub

cube square (red) is EP×0.23. The long corresponding distance is EP×0.35. (According to

Badoureau)

Construction

The six squares (red) are applied on the six cube squares. The corners(yellow) are cut off,

resulting in 32 triangles (green)

Line 1: Cube net and solid. Line 2: Snub cube net and sold

10b. Snub cube from truncation of octahedron 8/3

Data

The distance from the centre of the octahedron to the centre of the triangle is EP×0.41.

The distance from the centre of the snub cube to the triangle (red) is EA×2.21.

These two distances are equal, thus EA = EP×0.31.

10c. Snub cube from truncation of truncated cuboctahedron 12/4 8/6 6/8

The diagonals (red) on the squares,hexagons and octagons are, however, not of the same

length. Thus, the new edges (red) are not equal and the snub cube not correct.