A census of regular 3-polystroma arising from honeycombs
نویسندگان
چکیده
منابع مشابه
Regular Honeycombs in Hyperbolic Space
made a study of honeycombs whose cells are equal regular polytopes in spaces of positive, zero, and negative curvature. The spherical and Euclidean honeycombs had already been described by Schlaf li (1855), but the only earlier mention of the hyperbolic honeycombs was when Stringham (1880, pp. 7, 12, and errata) discarded them as "imaginary figures", or, for the two-dimensional case, when Klein...
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WHEN the elliptic plane is derived from a sphere by identifying antipodal points, the five convex regular solids inscribed in the sphere yield five regular tessellations of the elliptic plane: arrangements of equal regular polygons fitting together to fill the plane without interstices. The actual cases are exhibited in Table I, where the last column indicates that, since the tetrahedron lacks ...
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We study the problem of extending a state on an abelian C∗-subalgebra to a tracial state on the ambient C∗-algebra. We propose an approach that is well-suited to the case of regular inclusions, in which there is a large supply of normalizers of the subalgebra. Conditional expectations onto the subalgebra give natural extensions of a state to the ambient C∗-algebra; we prove that these extension...
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We review the regular tilings of d-sphere, Euclidean d-space, hyperbolic d-space and Coxeter's regular hyperbolic honeycombs (with innnite or star-shaped cells or vertex gures) with respect of possible embedding, isometric up to a scale, of their skeletons into a m-cube or m-dimensional cubic lattice. In section 2 the last remaining 2-dimensional case is decided: for any odd m 7, star-honeycomb...
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In 1967, Brown constructed small k-regular graphs of girth six as induced subgraphs of the incidence graph of a projective plane of order q, q ≥ k. Examining the construction method, we prove that starting from PG(2, q), q = p, p prime, there are no other constructions using this idea resulting in a (q + 1− t)-regular graph of girth six than the known ones, if t is not too large (t ≤ p and roug...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1984
ISSN: 0012-365X
DOI: 10.1016/0012-365x(84)90032-3