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Imperfect Congruence

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Home » Imperfect Congruence » Part 2: Rhomb/rhombus/rhombic tilings » Tilings from Robert Fathauer » Fighters - a 3.10.15 tiling

Fighters - a 3.10.15 tiling

This tiling, sent to me by Robert Fathauer, has a much simpler translational unit than the 3.10.15 Nutshell tiling and has one fewer rhomb in the prototile set. I've called it Fighters because two tile patches in the translational unit look like fighter jets to me (one below the decagon and a larger one to its side).

Tiling

Translational Unit

Legend

Skeleton tiling

Tiling (Black and white)

Translational Unit (Black and white)

‹ Waves - a 3.9.18 tiling up Rockets - a 3.10.15 tiling ›

Content

  • A mathematical note
  • About the author
  • Part 1: Kepler and the regular polygon tilings
  • Part 2: Rhomb/rhombus/rhombic tilings
    • Pentagon tilings
    • Rhomb tiling and extension
    • Gears - a 5.5.10 tiling
    • Globe - a 4.5.20 tiling
    • Milkmaid - a 3.8.24 tiling
    • Warrior - a 3.9.18 tiling
    • Nutshell - a 3.10.15 tiling
    • Mirror - a 3.7.42 tiling
    • Tilings from Robert Fathauer
      • Shield - a 3.7.42 tiling
      • Dancer - a 3.8.24 tiling
      • Starburst - a 3.8.24 tiling
      • Art - a 3.9.18 tiling
      • Waves - a 3.9.18 tiling
      • Fighters - a 3.10.15 tiling
      • Rockets - a 3.10.15 tiling
      • Compass - a 4.5.20 tiling
      • Broken roses - three 5.5.10 tilings
  • Part 3: A universal tiler
  • Part 4: Five-fold symmetry
  • Conclusion
  • Tiling Gallery
  • Appendix: Bridges conference
  • Appendix: Proof of the Gap Theorem
  • Appendix: Tiling source code
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