• DocumentCode
    261951
  • Title

    Huzita´s Basic Origami Fold in Geometric Algebra

  • Author

    Ida, Tetsuo

  • Author_Institution
    Univ. of Tsukuba, Tsukuba, Japan
  • fYear
    2014
  • fDate
    22-25 Sept. 2014
  • Firstpage
    11
  • Lastpage
    13
  • Abstract
    This short note describes the first step of the application of the geometric algebra (GA) to the computational origami system called Eos. Main results are the formalization of GA in Isabelle/HOL and the re-statement of Huzita´s basic fold operations in equalities in GA. By solving the equalities we can obtain the fold line (s) that are used in each step of origami construction.
  • Keywords
    computational geometry; formal logic; EOS; GA equalities; Huzitas basic fold operations; Isabelle/HOL; computational origami system; geometric algebra; Blades; Earth Observing System; Equations; Geometry; Three-dimensional displays; Vectors; computational origami; formalization by Isabelle/HOL; geometric algebra;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2014 16th International Symposium on
  • Conference_Location
    Timisoara
  • Print_ISBN
    978-1-4799-8447-3
  • Type

    conf

  • DOI
    10.1109/SYNASC.2014.9
  • Filename
    7034659