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  • 1
    Electronic Resource
    Electronic Resource
    The regular polyhedra of type {p, 3} with 2p vertices (1992)
    Springer
    Geometriae dedicata 43 (1992), S. 285-289 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract G(p, d) is a cubic (3-valent) graph consisting of a p-gon and a (p/d)-gon (a starpolygon) with corresponding vertices joined (the notation admits anomalous cases, when d=1 or (d, p)〉1), and with a high degree of symmetry. It is shown here that the seven possible graphs G(p, d) are just the edge-graphs of the regular polyhedra of type {p, 3} with 2p vertices, and therefore 3p edges, 6 faces, and symmetry group of order 12p.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00151518
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