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- W2932196611 abstract "We classify all edge-to-edge spherical isohedral 4-gonal tilings such that the skeletons are pseudo-double wheels. For this, we characterize these spherical tilings by a quadratic equation for the cosine of an edge-length. By the classification, we see: there are indeed two non-congruent, edge-to-edge spherical isohedral 4-gonal tilings such that the skeletons are the same pseudo-double wheel and the cyclic list of the four inner angles of the tiles are the same. This contrasts with that every edge-to-edge spherical tiling by congruent 3-gons is determined by the skeleton and the inner angles of the skeleton. We show that for a particular spherical isohedral tiling over the pseudodouble wheel of twelve faces, the quadratic equation has a double solution and the copies of the tile also organize a spherical non-isohedral tiling over the same skeleton." @default.
- W2932196611 created "2019-04-11" @default.
- W2932196611 creator A5052310642 @default.
- W2932196611 date "2019-03-01" @default.
- W2932196611 modified "2023-09-30" @default.
- W2932196611 title "Classification of spherical tilings by congruent quadrangles over pseudo-double wheels (II)—the isohedral case" @default.
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- W2932196611 doi "https://doi.org/10.32917/hmj/1554516036" @default.
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