Alexander's Star (A Type of Rubik's Cube)

Made by 6 Pairs of Symmetric Tetrahedrons

   

Made by 3 Rotated Cubes

Made by 3 Pairs of Symmetric Cubes

   

Platonic solids from midpoints

Made by 3 Pairs of Symmetric Cubes

   

Rhombic Triacontah

Made by 3 Pairs of Symmetric Cubes