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
Tiling Gallery
As there are many tilings on this site, I thought if it would be useful if there was a visual index. Each tiling below is linked to the page where it is discussed.
The regular tilings
The semiregular tilings
Example tilings for the four extendable imperfect congruences
General rhomb and regular polygon tiling examples
Tilings extended from the 3.7.42 vertex figure
Tilings extended from the 3.8.24 vertex figure
Tilings extended from the 3.9.18 vertex figure
Tilings extended from the 3.10.15 vertex figure
Tilings extended from the 4.5.20 vertex figure
Tilings extended from the 5.5.10 vertex figure
