Square Hole Dissections

Author : Gavin Theobald

[3] Triangle
[5] Pentagon
[6] Hexagon
[7] Heptagon
[8] Octagon
[9] Enneagon
[10] Decagon
[12] Dodecagon
[13] Tridecagon
[14] Tetradecagon
[16] Hexadecagon
[18] Octadecagon
[20] Icosagon
[5/2] Pentagram
[6/2] Hexagram
[7/3] Heptagram
[8/2] Octagram
[8/3] Octagram
[9/3] Enneagram
[10/2] Decagram
[10/3] Decagram
[10/4] Decagram
[12/2] Dodecagram
[12/5]  Dodecagram
[G] Greek Cross
[L] Latin Cross
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
4 3 0 4 3 6 3 6 4 7 4 7 5 6 6 7


5/2 6/2 7/2 7/3 8/2 8/3 9/2 9/3 9/4 10/2 10/3 10/4 12/2 12/3 12/4 12/5
4 5 4 7 5 4 87 7 76 6 6 7


Triangle — Square (3 pieces)

The dissection is hingeable.


Square — Pentagon (4 pieces)

The dissection is slideable.


Square — Hexagon (3 pieces)

The dissection is translational and slideable.


Square — Heptagon (6 pieces)


Square — Octagon (3 pieces)


Square — Enneagon (6 pieces)


Square — Decagon (4 pieces)


Square — Hendecagon (7 pieces)


Square — Dodecagon (4 pieces)

The dissection is slideable.


Square — Tridecagon (7 pieces)


Square — Tetradecagon (5 pieces)


Square — Hexadecagon (6 pieces)


Square — Octadecagon (6 pieces)


Square — Icosagon (7 pieces)


Square — Pentagram (5 pieces)


Square — Hexagram (4 pieces)

The dissection is translational and slideable.


Square — Heptagram (7 pieces)


Square — Octagram [8/2] (5 pieces)

This dissection was discovered by Greg Frederickson. This may well be the first hole dissection.


Square — Octagram [8/3] (4 pieces)


Square — Enneagram [9/3] (7 pieces with 2 turned over)


Square — Decagram [10/2] (7 pieces)


Square — Decagram [10/3] (7 pieces)
Square — Decagram [10/3] (6 pieces with 2 turned over)


Square — Decagram [10/4] (6 pieces)


Square — Dodecagram [12/2] (6 pieces)


Square — Dodecagram [12/5] (7 pieces)


Square — Greek Cross (2 pieces)

The dissection is translational.


Square — Latin Cross (3 pieces)