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Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43975253" target="_blank" >RIV/49777513:23520/25:43975253 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00373-024-02879-1" target="_blank" >https://link.springer.com/article/10.1007/s00373-024-02879-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00373-024-02879-1" target="_blank" >10.1007/s00373-024-02879-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons

  • Original language description

    We develop a systematic method for deriving the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method provides an effective and necessary tool in solving many tiling problems about pentagonal tilings of the sphere. More significantly, we determine all the angle combinations that allow free and continuous choices of two angle values.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2025

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Graphs and Combinatorics

  • ISSN

    0911-0119

  • e-ISSN

    1435-5914

  • Volume of the periodical

    41

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    JP - JAPAN

  • Number of pages

    37

  • Pages from-to

    nestránkováno

  • UT code for WoS article

    001410368300001

  • EID of the result in the Scopus database

    2-s2.0-85217526787