4b. Truncated cube 8/3 6/8 from truncation of octahedron 8 / 3

Data

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

The distance from the centre of the truncated cube to the centre of the triangle (red)is

EA×1.68.

These two distances are equal, thus EA = EP× 0.24

Application of the eight red triangles: The circum-circle radius of the octahedron

triangle (EP× 0.58) minus the in-circle radius of the truncated cube triangle (EA×0.29)

is the distance between the corner of the octahedron triangle and the mid-point of the

truncated cube triangle (red) edge, i.e., EP×0.51

The in-circle radius of the octahedron triangle (EP 0.29) minus the circum-circle radius

of the truncated cube triangle (red) (EA×0.58)

is the distance between the mid-edge of the octahedron triangle

and the corner of the truncated cube triangle (red), i.e., EP ×0.15.

Construction

The eight triangles (red) are applied on the octahedron triangles The six corners are cut

off, resulting in six octagons (green-blue).

Line1: Octahedron net and solid. Line 2: Truncated cube net and solid.