Prismatic dissection of a cube into six equivalent triangular pyramids
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Published:
Sep 18, 2018
Keywords:
Polyhedrom dissection, cube, pyramid
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Abstract
In this article a constructive, global and unifying analysis of the dissection of a cube into square and triangular pyramids is made. A classic problem, which regular, isolated and disconnected solutions are found and here a complete and detailed descriptive covering of their solution is performed. A tour that particularly details the answer to how to carry out the prismatic partition of a cube into six equivalent triangular pyramids.
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How to Cite
Galo, J. R. (2018). Prismatic dissection of a cube into six equivalent triangular pyramids. Mathematics, Education and Society, 1(2), 1–20. Retrieved from https://journals.uco.es/mes/article/view/12832
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This work is licensed under a Creative Common License (CC BY 3.0 ES)
References
Alexandrov, A.D. (2005). Convex Polyhedra. Springer Monographs in Mathematics.
Coffin, S. T. (1990). The Puzling World of Polyhedral Dissections. New York: Oxford University Press.
Red Educativa Digital Descartes (2013). Recursos Educativos interactivos de RED Descartes http://proyectodescartes.org/descartescms/descargas .
Weisstein, Enric W. "Cube". From MathWorld--A Wolfram Web Resource
http://mathworld.wolfram.com/Cube.html
Weisstein, Enric W. "Pyramid". From MathWorld--A Wolfram Web Resource
http://mathworld.wolfram.com/Pyramid.html
Coffin, S. T. (1990). The Puzling World of Polyhedral Dissections. New York: Oxford University Press.
Red Educativa Digital Descartes (2013). Recursos Educativos interactivos de RED Descartes http://proyectodescartes.org/descartescms/descargas .
Weisstein, Enric W. "Cube". From MathWorld--A Wolfram Web Resource
http://mathworld.wolfram.com/Cube.html
Weisstein, Enric W. "Pyramid". From MathWorld--A Wolfram Web Resource
http://mathworld.wolfram.com/Pyramid.html