在這篇文章我們利用Cabri 3D建構一系列由正立方體組合而成的萬花筒，並指出在這些萬花筒變化的過程中包含的已知正立方體的組合。建構的方法主要從一個正立方體的三種對稱軸出發，除了將一個正立方體沿著特定的對稱軸順時針與逆時針旋轉可得到一系列的組合外，將一個正立方體的某幾條對稱軸以特定的擺法重疊於正十二面體與正二十面體的某幾條對稱軸也可獲得幾組正立方體的組合。最後，我們利用正立方體與正八面體的對稱軸種類與數目完全相同的性質，介紹一些正八面體的組合模型。

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

1.http://www.math.nthu.edu.tw/~jcchuan/
2.http://www.georgehart.com/virtual-polyhedra/compounds-info.html
3.http://www.georgehart.com/virtual-polyhedra/compound-cubes-info.html
4.http://www.georgehart.com/virtual-polyhedra/compound-cubes-index.html
5.http://www.georgehart.com/virtual-polyhedra/uniform-compounds-info.html
6.http://www.georgehart.com/virtual-polyhedra/compounds-spin.html
7.http://mathworld.wolfram.com/PolyhedronCompound.html
8.http://mathworld.wolfram.com/Cube2-Compound.html
9.http://mathworld.wolfram.com/Cube3-Compound.html
10.http://mathworld.wolfram.com/Cube4-Compound.html
11.http://mathworld.wolfram.com/Cube5-Compound.html
12.http://mathworld.wolfram.com/Cube6-Compound.html
13.http://mathworld.wolfram.com/Cube7-Compound.html
14.http://mathworld.wolfram.com/Cube10-Compound.html
15.http://mathworld.wolfram.com/Octahedron2-Compound.html
16.http://mathworld.wolfram.com/Octahedron3-Compound.html
17.http://mathworld.wolfram.com/Octahedron4-Compound.html
18.http://mathworld.wolfram.com/Octahedron5-Compound.html
19.http://mathworld.wolfram.com/Octahedron10-Compound.html
20.Hugo F. Verheyen, "Symmetry Orbits", Birkhauser, 1996.
21.Wenninger, M. J. "Dual Models ", Cambridge University Press, 1983.
22.Coxeter H.S.M., “Regular Polytopes”, Dover, New York, 1973.
23.Bakos, T., Octahedra inscribed in a cube, Math. Gaz. XLIII, 17-20, 1959.
24.Coxeter H.S.M., M. S. Longuet-Higgins, and J. C. P. Miller, Uniform Polyhedra, Phil. Trans. Royal Soc. London 264A, 401-450, 1954.
25.Skilling, J., The complete set of Uniform Polyhedra, Phil. Trans. Royal Soc. London 278A, 111-135, 1975.