Square to Polygram Dissections

Author : Gavin Theobald

{5/2}	Pentagram
{6/2}	Hexagram
{7/2}	Heptagram
{7/3}	Heptagram
{8/2}	Octagram
{8/3}	Octagram
{9/2}	Enneagram
{9/3}	Enneagram
{9/4}	Enneagram
{10/2}	Decagram
{10/3}	Decagram
{10/4}	Decagram
{12/2}	Dodecagram
{12/5}	Dodecagram

Square - Pentagram (7 pieces)

Square - Hexagram (5 pieces)

Discovered by Harry Bradley (1921).

Square - Heptagram {7/2} (10 pieces)

Square - Heptagram {7/3} (12 pieces)

Square - Octagram {8/2} (7 pieces)

Published by Greg Frederickson (1997).

Square - Octagram {8/3} (8 pieces)

Square - Enneagram {9/2} (12 pieces)

Square - Enneagram {9/3} (13 pieces)

Square - Enneagram {9/3} (12 pieces with 3 turned over)

Square - Enneagram {9/4} (19 pieces with 3 turned over)

Square - Decagram {10/2} (10 pieces)

Square - Decagram {10/2} (9 pieces with 1 turned over)

Square - Decagram {10/3} (11 pieces)

Square - Decagram {10/4} (10 pieces)

First discovered by Anton Hanegraaf.

Square - Dodecagram {12/2} (8 pieces)

Note that there are some very short edges that are not visible in these views. Click on the images to see enlarged versions.

Rectangle - Dodecagram {12/2} (8 pieces)

These diagrams use the same technique as for the square, but better show the way in which the dissection works. Click on the images to see enlarged versions.

Square - Dodecagram {12/5} (9 pieces)

Discovered by Greg Frederickson (1972).

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