Duality of polyhedra

P. Gailiunas; J. Sharp *

DOI:10.1080/00207390500064049

Corpus ID: 120818796

Duality of polyhedra

@article{Gailiunas2005DualityOP,
  title={Duality of polyhedra},
  author={P. Gailiunas and J. Sharp},
  journal={International Journal of Mathematical Education in Science and Technology},
  year={2005},
  volume={36},
  pages={617 - 642}
}

P. Gailiunas, J. Sharp *

Published 2005

Mathematics

International Journal of Mathematical Education in Science and Technology

Everyone is familiar with the concept that the cube and octahedron, dodecahedron and icosahedron are dual pairs, with the tetrahedron being self-dual. On the face of it, the concept seems straightforward; however, in all but the most symmetrical cases it is far from clear. By using the computer and three-dimensional graphics programs, it is possible to clarify the concept and explore new ideas. Moreover, it is an ideal topic for teaching clear logical thinking.

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