Octagon Dissections

Author : Gavin Theobald

Triangle — Octagon (7 pieces)

Previously Harry Lindgren had discovered an 8 piece solution.

Both of these are TT2 dissections.

Square — Octagon (5 pieces)

This dissection uses the method of completed tessellations. This dissects a square with a small square to an octagon with the same small square.

This dissection first appeared in the circa 1300 anonymous Persian manuscript “Interlocks of Similar or Complementary Figures”.

Pentagon — Octagon (9 pieces)

Pentagon — Octagon (8 pieces with 1 turned over)

Hexagon — Octagon (8 pieces)

Hexagon — Octagon (7 pieces with 2 turned over)

Heptagon — Octagon (11 pieces)

Heptagon — Octagon (10 pieces with 1 turned over)

Octagon — Enneagon (12 pieces)

Octagon — Decagon (10 pieces)

The two overlays show the strips before and after the modification of the decagon strip that saves a piece.

Octagon — Hendecagon (16 pieces)
Octagon — Hendecagon (15 pieces with 1 turned over)

Octagon — Dodecagon (10 pieces)

Octagon — Hexadecagon (17 pieces)

Octagon — Pentagram (10 pieces)

Octagon — Hexagram (8 pieces)

Octagon — Octagram {8/2} (11 pieces)

Octagon — Octagram {8/3} (6 pieces)

Discovered by Harry Lindgren.

Octagon — Decagram {10/2} (13 pieces)
Octagon — Decagram {10/2} (12 pieces with 1 turned over)

Octagon — Dodecagram {12/2} (12 pieces)

Octagon — Dodecagram {12/3} (12 pieces)

Octagon — Hexadecagram {16/2} (16 pieces with 4 turned over)

Discovered by Greg Frederickson.

Octagon — Silver Rectangle (4 pieces)

Octagon — Golden Rectangle (6 pieces)

Octagon — Domino (6 pieces)

Octagon — Optimised Rectangle (4 pieces)

Octagon — Greek Cross (8 pieces)

Octagon — Latin Cross (8 pieces)