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Summary:
In the article, we shall determine the volume of a regular dodecahedron—one of the Platonic solids. A brief historical introduction is followed by the information on a regular pentagon and golden section, which is then applied in the calculations concerning the regular dodecahedron.
References:
[1] Allenby, R. B. J. T., Slomson, A.: How to count: an introduction to combinatorics. 2nd ed., Discrete mathematics and its applications, CRC Press, Boca Raton, FL, 2011. MR 2723189
[2] Plus Magazine: Mathematical Misfitrs – three-dimensional solution.
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