Tiling the pentagon
نویسندگان
چکیده
منابع مشابه
Tiling Problem of Convex Pentagon
We discovered the new tiling patterns each of which is composed of a single kind of convex pentagon. Moreover, we propose a new concept of classification method of the tessellating convex pentagons, which is the only unsolved case among the corresponding tessellating convex polygon problems.
متن کاملDeflating the Pentagon
In this paper we consider deflations (inverse pocket flips) of n-gons for small n. We show that every pentagon can be deflated after finitely many deflations, and that any infinite deflation sequence of a pentagon results from deflating an induced quadrilateral on four of the vertices. We describe a family of hexagons that deflate infinitely for a specific deflation sequence, yet induce no infi...
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We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4 − 2 dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O( ) corrections, a result which is the dimensionallyregulated ver...
متن کاملSteiner pentagon covering designs
Let Kn denote the complete undirected graph on n vertices. A Steiner pentagon covering design (SPCD) of order n is a pair (Kn;B), where B is a collection of c(n)= n=5 n−1=2 pentagons from Kn such that any two vertices are joined by a path of length 1 in at least one pentagon of B, and also by a path of length 2 in at least one pentagon of B. The existence of SPCDs is investigated. The main appr...
متن کاملPentagon Contact Representations
Representations of planar triangulations as contact graphs of a set of internally disjoint homothetic triangles or respectively of a set of internally disjoint homothetic squares have received quite some attention in recent years. In this paper we investigate representations of planar triangulations as contact graphs of a set of internally disjoint homothetic pentagons. Surprisingly such a repr...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2000
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(99)00390-8