Repository landing page

We are not able to resolve this OAI Identifier to the repository landing page. If you are the repository manager for this record, please head to the Dashboard and adjust the settings.
oaioai:repository.ust.hk:1783.1-57795

Spherical tiling by 12 congruent pentagons

Authors
Publication date
2013
Publisher
Doi

    Abstract

    The tilings of the 2-dimensional sphere by congruent triangles have been extensively studied, and the edge-to-edge tilings have been completely classified. However, not much is known about the tilings by other congruent polygons. In this paper, we classify the simplest case, which is the edge-to-edge tilings of the 2-dimensional sphere by 12 congruent pentagons. We find one major class allowing two independent continuous parameters and four classes of isolated examples. The classification is done by first separately classifying the combinatorial, edge length, and angle aspects, and then combining the respective classifications together. (c) 2013 Elsevier Inc. All rights reserved

    Similar works

    Full text

    thumbnail-image

    Hong Kong University of Science and Technology Institutional Repository

    redirect
    oaioai:repository.ust.hk:1783.1-5...
    Last time updated on 14/05/2016

    This paper was published in Hong Kong University of Science and Technology Institutional Repository.

    Having an issue?

    Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.