However, proportionality of corresponding sides is not by itself sufficient to prove similarity for polygons beyond triangles (otherwise, for example, all rhombi would be similar).
The face angles of these rhombi are approximately 70.528 and 109.471.
The hexagons can be made equilateral, or regular depending on the shape of the rhombi.
It has 60 broad rhombi and 30 slim.
The cube can be seen as a rhombic hexahedron where the rhombi are squares.
Indeed, in any tetrahedron, a pair of opposite edges is perpendicular if and only if the corresponding faces of the circumscribed parallelepiped are rhombi.
It constructed by two rhombi and 4 squares.
The rhombic triacontahedron is a convex polytope that has a very special property: all of its faces are golden rhombi.
