Square Hole Dissections
|
|
|
|
| 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)
Index
Methods
Bibliography
History
