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We propose a method for creating flat-foldable solids by regularly removing panels from space-filling polyhedra. We classify space-filling polyhedra by characteristics. From the classification, we focus on a space-filling polyhedron consisting of rhombitruncated octahedra and regular octagonal prisms, which have similarities with truncated octahedra. Based on the case study with truncated octahedra, we show the solids and developments made from the two types of removing panels patterns and describe their characteristics.

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A Flat-Foldable Solid Consisting of Rhombitruncated Cuboctahedra and Regular Octagonal Prisms

  • 会议论文

  • 发表日期：

    2026年

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  • T. Arimune,
  • Y. Kobayashi

摘要

We propose a method for creating flat-foldable solids by regularly removing panels from space-filling polyhedra. We classify space-filling polyhedra by characteristics. From the classification, we focus on a space-filling polyhedron consisting of rhombitruncated octahedra and regular octagonal prisms, which have similarities with truncated octahedra. Based on the case study with truncated octahedra, we show the solids and developments made from the two types of removing panels patterns and describe their characteristics.