Dodecagon Dissections

Author : Gavin Theobald

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{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{24} Icositetragon
{5/2} Pentagram
{6/2} Hexagram
{8/2} Octagram
{8/3} Octagram
{10/2} Decagram
{12/2} Dodecagram
{12/3} Dodecagram
{12/4} Dodecagram
{12/5}  Dodecagram
{R√2} Silver Rectangle
{Rϕ} Golden Rectangle
{R2} Domino
{G} Greek Cross
{L} Latin Cross
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
8 6 10 6 11 10 1413 1211 1


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
12 9 9 12 14 1312 12  25 10


Triangle — Dodecagon (8 pieces)


Square — Dodecagon (6 pieces)

Discovered by Harry Lindgren (1951).


Pentagon — Dodecagon (10 pieces)


Hexagon — Dodecagon (6 pieces)

The first solution is nicely symmetric, but the second is different to other published solutions in the use of curved pieces.


Heptagon — Dodecagon (11 pieces)


Octagon — Dodecagon (10 pieces)


Enneagon — Dodecagon (14 pieces)

Enneagon — Dodecagon (13 pieces with 3 turned over)


Decagon — Dodecagon (12 pieces)

Decagon — Dodecagon (11 pieces with 2 turned over)


Dodecagon — Icositetragon {24} (25 pieces)


Dodecagon — Pentagram (12 pieces)


Dodecagon — Hexagram (9 pieces)

First discovered by Greg Frederickson.


Dodecagon — Octagram {8/2} (9 pieces)


Dodecagon — Octagram {8/3} (12 pieces)


Dodecagon — Decagram {10/2} (14 pieces)


Dodecagon - Dodecagram Dodecagon - Dodecagram

Dodecagon — Dodecagram {12/2} (13 pieces)

Dodecagon - Dodecagram Dodecagon - Dodecagram

Dodecagon — Dodecagram {12/2} (12 pieces with 1 turned over)


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


Dodecagon — Dodecagram {12/4} (25 pieces with 12 turned over)

Discovered by Greg Frederickson (2002).


Dodecagon — Dodecagram {12/5} (10 pieces)

Discovered by Greg Frederickson (1972).


Dodecagon — Silver Rectangle (7 pieces)


Dodecagon — Golden Rectangle (7 pieces)

Discovered by Harry Lindgren (1964).


Dodecagon — Domino (5 pieces)


Dodecagon — Greek Cross (6 pieces)

Discovered by Harry Lindgren (1961).


Dodecagon — Latin Cross (7 pieces)

Discovered by Harry Lindgren (1951).

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