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. 
    4 Citations
    A Polyhedron Full of Surprises
    • 2
    DOUBLE-CONTOUR GEODESIC SHELLS WITH TETRAHEDRAL PYRAMIDS
    • PDF
    Regular polyhedra of index two, I
    • 10
    • PDF
    Some Properties of Jitterbug-Like Polyhedral Linkages
    • 5

    References

    SHOWING 1-10 OF 15 REFERENCES
    POLYHEDRA WITH HOLLOW FACES
    • 32
    Projective geometry and its applications to computer graphics
    • 88
    DUAL GENERALISATIONS OF VAN AUBEL'S THEOREM
    • 10
    • PDF
    An Elementary Treatise on Solid Geometry
    • 5
    • Highly Influential
    Polyhedra (Cambridge: Cambridge University Press)
    • 1997
    Octahedra Inscribed in a Cube
    • 5
    • Highly Influential
    Duality of Polyhedra
    • 1
    Dual Models (Cambridge
    • 1983
    Dual Models: Contents
    • 20
    An unfamiliar dodecahedron
    • Mathematics Teaching,
    • 1978