Contents
-
Imperfect Congruence
- A mathematical note
- About the author
- Part 1: Kepler and the regular polygon tilings
- Part 2: Rhomb/rhombus/rhombic tilings
-
Part 3: A universal tiler
- Fans and other rhombic structures
- Regular polygon decomposition
- Regular polygon decomposition (odd)
- Worms and zonagons
- Decomposition algorithm
- Decomposition mathematics
- Variations on the universal tiler
- The regular polygon extension theorem
- The triangle extension theorem
- The rule of two
- The vertex figure extension conjecture
- Vertex figure extension examples
- More vertex figure extension examples
- Part 4: Five-fold symmetry
- Conclusion
- Tiling Gallery
- Appendix: Bridges conference
- Appendix: Proof of the Gap Theorem
- Appendix: Tiling source code
Appendix: Bridges conference
In July 2013 I attended the Bridges 2013 conference on mathematics and art in Enschede, Netherlands. While there I was privileged to meet a number of people exploring the boundaries of mathematics and art, including Robert Fathauer and George Hart.
I submitted a short paper (PDF) based on this website. I also gave a short 15 minute presentation, which is available in several formats:
The presentation files include the slides and the speaker notes.