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Growth of a Rhombic Dodecahedron

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Cuboids with decreasing size are stacked on each face of a cube. In this way, the shape of the rhombic dodecahedron is filled. This Demonstration could be used to illustrate the growth of some crystals, such as garnet. The controls manipulate the layers of cuboids.

Contributed by: Sándor Kabai (August 2022)
Open content licensed under CC BY-NC-SA

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The Bolyai Memorial has a pedestal consisting of such a stack of cuboids [1].

References

[1] S. Kabai and S. Horváth. "Bolyai Memorial in Marosvásárhely" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/BolyaiMemorialInMarosvasarhely.

[2] H. Sándor. "Pszeudoszféra." (Nov 7, 2019) www.kozterkep.hu/10611/Pszeudoszfera_Marosvasarhely_ 2002.html.

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