Pentagram Dissections

Author : Gavin Theobald

{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{12} Dodecagon
{6/2} Hexagram
{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
7 7 9 9 11 10 14 6 12


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
1 10 13 13 15 14 15


Triangle — Pentagram (7 pieces)

This uses the TT2 technique.


Square — Pentagram (7 pieces)


Pentagon — Pentagram (9 pieces)


Hexagon — Pentagram (9 pieces)


Heptagon — Pentagram (11 pieces)


Octagon — Pentagram (10 pieces)


Enneagram — Pentagram (14 pieces)


Decagon — Pentagram (6 pieces)

Discovered by Harry Lindgren (1964).


Dodecagon — Pentagram (12 pieces)


Pentagram — Hexagram (10 pieces)


Pentagram — Octagram {8/2} (13 pieces)


Pentagram — Octagram {8/3} (13 pieces)

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


Pentagram — Decagram {10/2} (15 pieces)


Pentagram — Dodecagram {12/2} (14 pieces)


Pentagram — Dodecagram {12/3} (15 pieces)


Silver Rectangle — Pentagram (7 pieces)


Golden Rectangle — Pentagram (7 pieces)


Domino — Pentagram (7 pieces)


Optimised Rectangle — Pentagram (5 pieces)


Greek Cross — Pentagram (10 pieces)


Latin Cross — Pentagram (10 pieces)