Hexagram Dissections

Author : Gavin Theobald

{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{11} Hendecagon
{12} Dodecagon
{5/2} Pentagram
{8/2} Octagram
{8/3} Octagram
{10/2} Decagram
{12/2}  Dodecagram
{12/3}  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
5 5 8 6 9 8 11 9 15 9


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
10 1 10 10 1312 9 11


Triangle — Hexagram (5 pieces)

Discovered by Harry Lindgren (1961).

The dissection is hingeable.


Square — Hexagram (5 pieces)

Discovered by Harry Bradley (1921).

The dissection is translational.


Pentagon — Hexagram (8 pieces)


Hexagon — Hexagram (6 pieces)


Heptagon — Hexagram (9 pieces)


Octagon — Hexagram (8 pieces)


Enneagon — Hexagram (11 pieces)


Decagon — Hexagram (9 pieces)


Hendecagon — Hexagram (15 pieces)


Dodecagon — Hexagram (9 pieces)

First discovered by Greg Frederickson.


Pentagram — Hexagram (10 pieces)


Hexagram — Octagram {8/2} (10 pieces)


Hexagram — Octagram {8/3} (10 pieces)

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


Hexagram — Decagram {10/2} (13 pieces)

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


Hexagram — Dodecagram {12/2} (9 pieces)

Discovered by Harry Lindgren (1964).


Hexagram — Dodecagram (11 pieces)


Silver Rectangle — Hexagram (5 pieces)

The dissection is translational.


Golden Rectangle — Hexagram (5 pieces)

Discovered by Harry Lindgren (1964).

The dissection is translational.


Domino — Hexagram (5 pieces)

The dissection is translational.


Optimised Rectangle — Hexagram (4 pieces)

The dissection is translational.


Greek Cross — Hexagram (8 pieces)

The dissection is translational.


Latin Cross — Hexagram (8 pieces)

The dissection is translational.