Platonic Solids

  • Jin Akiyama
  • Kiyoko Matsunaga


The ancient Greek philosopher Plato loved five special polyhedral (Fig.5.1.1). These were the solids with equivalent faces composed of congruent regular convex polygons. Today, we know them as Platonic solids; and there are exactly five of them (Fig. 5.1.2).


Span Tree Plane Graph Dual Graph Regular Hexagon Span Subgraph 
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Copyright information

© Springer Japan 2015

Authors and Affiliations

  • Jin Akiyama
    • 1
  • Kiyoko Matsunaga
    • 2
  1. 1.Tokyo University of ScienceTokyoJapan
  2. 2.YokohamaJapan

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