Heptagon Dissections

Author : Gavin Theobald

Main index

{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{8} Octagon
{9} Enneagon
{10} Decagon
{11} Hendecagon
{12} Dodecagon
{14} Tetradecagon
{5/2} Pentagram
{6/2} Hexagram
{7/2} Heptagram
{7/3} Heptagram
{8/2} Octagram
{8/3} Octagram
{12/2} Dodecagram
{14/2}  Tetradecagram
{R} Golden Rectangle
{G} Greek Cross
{L} Latin Cross


Triangle - Heptagon Triangle - Heptagon

Triangle - Heptagon (8 pieces)


Square - Heptagon Square - Heptagon

Square - Heptagon (7 pieces)


Pentagon - Heptagon Pentagon - Heptagon

Pentagon - Heptagon (9 pieces)


Hexagon - Heptagon Hexagon - Heptagon

Hexagon - Heptagon (8 pieces)


Heptagon - Octagon Heptagon - Octagon

Heptagon - Octagon (11 pieces)

Heptagon - Octagon Heptagon - Octagon

Heptagon - Octagon (10 pieces with 1 turned over)


Heptagon - Enneagon Heptagon - Enneagon

Heptagon - Enneagon (13 pieces)


Heptagon - Decagon Heptagon - Decagon

Heptagon - Decagon (11 pieces)


Heptagon - Hendecagon
Heptagon - Hendecagon
Heptagon - Hendecagon

Heptagon - Hendecagon (15 pieces)


Heptagon - Dodecagon Heptagon - Dodecagon

Heptagon - Dodecagon (11 pieces)


Heptagon - Tetradecagon

Heptagon - Tetradecagon (15 pieces)


Heptagon - Pentagram Heptagon - Pentagram

Heptagon - Pentagram (11 pieces)


Heptagon - Hexagram Heptagon - Hexagram

Heptagon - Hexagram (9 pieces)


Heptagon - Heptagram

Heptagon - Heptagram (15 pieces)


Heptagon - Heptagram

Discovered by Anton Hanegraaf.

Heptagon - Heptagram (13 pieces)


Heptagon - Octagram
Heptagon - Octagram
Heptagon - Octagram

Heptagon - Octagram (13 pieces)


Heptagon - Octagram Heptagon - Octagram

Heptagon - Octagram (12 pieces)


Heptagon - Dodecagram Heptagon - Dodecagram

Heptagon - Dodecagram (11 pieces)


Heptagon - Tetradecagram

Heptagon - Tetradecagram (12 pieces)

This is a modification of a dissection found by Greg Frederickson. My variation is more symmetric, but uses the same number of pieces. In Frederickson's first book he mentions an 11 piece version of this dissection, but he has not been able to find a copy of it. Either he miscounted the number of pieces, or there is a forgotten trick to save a piece. So, can you improve this dissection?


Heptagon - Golden Rectangle Heptagon - Golden Rectangle

Heptagon - Golden Rectangle (7 pieces)


Heptagon - Greek Cross Heptagon - Greek Cross

Heptagon - Greek Cross (9 pieces)


Heptagon - Latin Cross Heptagon - Latin Cross

Heptagon - Latin Cross (8 pieces)


Top   Main index