Hole Dissections

Author : Gavin Theobald

Home Index ≪ Hole ≫ Contact  Colour ☰
[3]—[4] Triangle — Square
[3]—[5] Triangle — Pentagon
[3]—[6] Triangle — Hexagon
[3]—[7] Triangle — Heptagon
[3]—[8] Triangle — Octagon
[3]—[10] Triangle — Decagon
[3]—[12] Triangle — Dodecagon
[3]—[5/2] Triangle — Pentagram
[3]—[6/2] Triangle — Hexagram
[3]—[8/3] Triangle — Octagram
[3]—[12/2] Triangle — Dodecagram
[4]—[5] Square — Pentagon
[4]—[6] Square — Hexagon
[4]—[7] Square — Heptagon
[4]—[8] Square — Octagon
[4]—[9] Square — Enneagon
[4]—[10] Square — Decagon
[4]—[12] Square — Dodecagon
[4]—[5/2] Square — Pentagram
[4]—[6/2] Square — Hexagram
[4]—[8/2] Square — Octagram
[4]—[8/3] Square — Octagram
[4]—[12/2] Square — Dodecagram
[5]—[6] Pentagon — Hexagon
[5]—[8] Pentagon — Octagon
[5]—[10] Pentagon — Decagon
[5]—[6/2] Pentagon — Hexagram
[5]—[8/3] Pentagon — Octagram
[6]—[7] Hexagon — Heptagon
[6]—[8] Hexagon — Octagon
[6]—[10] Hexagon — Decagon
[6]—[12] Hexagon — Dodecagon
[6]—[5/2] Hexagon — Pentagram
[6]—[6/2] Hexagon — Hexagram
[6]—[8/3] Hexagon — Octagram
[6]—[12/2] Hexagon — Dodecagram
[8]—[10] Octagon — Decagon
[8]—[6/2] Octagon — Hexagram
[8]—[8/3] Octagon — Octagram
[10]—[5/2] Decagon — Pentagram
[10]—[6/2] Decagon — Hexagram
[10]—[8/3] Decagon — Octagram
[5/2]—[6/2] Pentagram — Hexagram
[5/2]—[8/3] Pentagram — Octagram
[6/2]—[8/3] Hexagram — Octagram
3
3 4
5 4 5
4 3 5 6
6 6 6 7
5 3 6 5 8
6 9
5 4 6 5 6 10
6 4 4 12
5 5 5 5 5/2
3 4 6 5 6 6 6 6/2
5 8/2
5 4 6 5 5 6 6 6 8/3
5 6 6 12/2



Triangle — Square (3 pieces)

The dissection is hingeable.

Triangle — Pentagon (5 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Triangle — Hexagon (4 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Triangle — Heptagon (6 pieces)

Triangle — Octagon (5 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Triangle — Decagon (5 pieces)

Triangle — Dodecagon (6 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Triangle — Pentagram (5 pieces)

Triangle — Hexagram (3 pieces)

Triangle — Octagram [8/3] (5 pieces)

Triangle — Dodecagram [12/2] (5 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Square — Pentagon (4 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Square — Hexagon (3 pieces)

The dissection is translational. The pieces can be rearranged simply by sliding them one at a time, without rotation, and without any piece ever overlapping another.

Square — Heptagon (6 pieces)

Square — Octagon (3 pieces)

Square — Enneagon (6 pieces)

Square — Decagon (4 pieces)

Square — Dodecagon (4 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Square — Pentagram (5 pieces)

Square — Hexagram (4 pieces)

The dissection is translational. The pieces can be rearranged simply by sliding them one at a time, without rotation, and without any piece ever overlapping another.

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 — Dodecagram [12/2] (6 pieces)

The dissection is translational.

Pentagon — Hexagon (5 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Pentagon — Octagon (6 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Pentagon — Decagon (6 pieces)

Pentagon — Hexagram (6 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Pentagon — Octagram [8/3] (6 pieces)

Hexagon — Heptagon (6 pieces)

Hexagon — Octagon (5 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Hexagon — Decagon (5 pieces)

Hexagon — Dodecagon (4 pieces)

Hexagon — Pentagram (5 pieces)

Hexagon — Hexagram (5 pieces)

The dissection is translational. The pieces can be rearranged simply by sliding them one at a time, without rotation, and without any piece ever overlapping another.

Hexagon — Octagram [8/3] (5 pieces)

Hexagon — Dodecagram [12/2] (6 pieces)

Octagon — Decagon (6 pieces)

Octagon — Hexagram (6 pieces)

The pieces can be rearranged simply by sliding them one at a time and without any piece ever overlapping another.

Octagon — Octagram [8/3] (5 pieces)

Decagon — Pentagram (5 pieces)

Decagon — Hexagram (6 pieces)

Decagon — Octagram [8/3] (6 pieces)

Pentagram — Hexagram (6 pieces)

Pentagram — Octagram [8/3] (6 pieces)

Hexagram — Octagram [8/3] (6 pieces)

Home Index ≪ Hole ≫ Contact  Colour ☰