5b. Small rhombicuboctahedron 8/3 18/4 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 centre of the

rhombicuboctahedron to the centre of the triangle (red) is EA×1.27.

These two distances are equal, thus, EA = EP×0.32. .

The distance between the octahedron triangle corner and the rhombicuboctahedron triangle (red) corner is circum-

circle radius of the octahedron triangle (EP×0.58) minus the circum-circle radius of rhombicuboctahedron triangle (E_A 0.58)= E_P 0.39.

Construction

The eight triangles (red) are applied on the original triangles. The eight corners (yellow) are cut off, resulting in six

squares (green-blue).

The edges between the triangles are cut off, resulting in twelve squares (green-blue)

Line 1. Octahedron net and solid. Line 2. Rhombicuboctahedron net and solid