tetrahedron 
first stellation 
second stellation 
third stellation 

A tetrahedron inside a cube. The picture is a copy from Johannes Kepler's 'Harmonice Mundi', Book V, printed in 1619 [4]. The stellation process indicated above converges to the outer cube. The (infinite) sum of volumes for all tetrahedrons during the stellation process becomes equal to the volume of the outer cube. 
References[1] Magnus J. Wenninger. (1971). Polyhedron Models. London: Cambridge University Press. [2] Heinz G. Schuster. (1989). Deterministic Chaos. Second revised edition. Weinheim: VCH. [3] HeinzOtto Peitgen, Hartmut Jürgens & Dietmar Saupe. (1992). Chaos and Fractals. New Frontiers of Science. New York: SpringerVerlag. [4] Johannes Kepler. (1978). Weltharmonik. Übersetzt und eingeleitet von Max Caspar. München: R. Oldenburg Verlag. 
