Abstract
A compound of cubes is a set of equal cubes with a common center. The Section1 in this paper is to gather some well-known compounds according to the numbers of cubes used in Cabri 3D construction. Since the cube and the octahedron are duel to each other, the Section2 discusses the construction related to octahedron compounds. In the Section3, we create a series of 3-D kaleidoscopes induced by cubes’ compounds by applying the rotations to a model. Finally, we discuss the combinatorial problems related to the compounds.The content of this paper may be found in http://apollonius.math.nthu.edu.tw/d1/dg-07-exe/943210/web/index.htm