More Square Dissections

Author : Gavin Theobald

{R√2 Silver Rectangle
{Rϕ} Golden Rectangle
{R2} Domino
{G} Greek Cross
{L} Latin Cross
{M} Maltese Cross
{C} Crescent
{4–} Truncated Square
{4+} Augmented Square


Square — Silver Rectangle (3 pieces)

The dissection is translational.


Square — Golden Rectangle (3 pieces)

The dissection is translational.


Square — Domino (3 pieces)

The dissection is translational and hingeable.


Square — Greek Cross (4 pieces)

The dissection is translational and hingeable. This dissection uses the method of overlaid tessellations.

Discovered by Sam Loyd (1887).


Square — Latin Cross (5 pieces)


Square — Maltese Cross (7 pieces)

Discovered by A. E. Hill (1926).


Square — Crescent (7 pieces with 2 turned over)


Square — Truncated Square (4 pieces)

Square — Truncated Square (4 pieces with 1 turned over)

These dissections use the method of completed tessellations. The first one uses curved pieces to avoid turning two over.


Square — Augmented Square (4 pieces)

Square — Augmented Square (4 pieces)

Square — Augmented Square (4 pieces)

These dissections use the method of completed tessellations. They also use curved pieces to avoid turning two over.