Decagram Dissections

Author : Gavin Theobald

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{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{12} Dodecagon
{5/2} Pentagram
{6/2} Hexagram
{8/2} Octagram
{8/3} Octagram
{12/2}  Dodecagram
{R√2} Silver Rectangle
{Rϕ} Golden Rectangle
{R2} Domino
{R×} Optimised Rectangle
{G} Greek Cross
{L} Latin Cross
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
10 10 9 6 1110 1413 1312 17 14 14


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
15 1312 1614 14 1 17


Triangle — Decagram (10 pieces)


Square — Decagram (10 pieces)

Square — Decagram (9 pieces with 1 turned over)


Pentagon — Decagram (7 pieces)

Discovered by Greg Frederickson (1974).


Hexagon — Decagram (11 pieces)

Hexagon — Decagram (10 pieces with 2 turned over)


Heptagon — Decagram (14 pieces)

Heptagon — Decagram (13 pieces with 1 turned over)


Octagon — Decagram (13 pieces)

Octagon — Decagram (12 pieces with 1 turned over)


Enneagon — Decagram (17 pieces)


Decagon — Decagram (14 pieces)


Dodecagon — Decagram (14 pieces)


Pentagram — Decagram (15 pieces)


Hexagram — Decagram (13 pieces)

Hexagram — Decagram (12 pieces with 1 turned over)


Octagram {8/2} — Decagram (16 pieces)

Octagram {10/2} — Decagram (14 pieces with 1 turned over)


Octagram {8/3} — Decagram (14 pieces)


Decagram — Dodecagram {12/2} (17 pieces)


Silver Rectangle — Decagram (10 pieces)

Silver Rectangle — Decagram (9 pieces with 1 turned over)


Golden Rectangle — Decagram (10 pieces)


Domino — Decagram (10 pieces)


Optimised Rectangle — Decagram (8 pieces)


Greek Cross — Decagram (13 pieces)


Latin Cross — Decagram (13 pieces)

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