More Square Dissections

Author : Gavin Theobald

{R√2 Silver Rectangle
{Rϕ} Golden Rectangle
{R2} Domino
{G} Greek Cross
{L} Latin Cross
{M} Maltese Cross


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.

Described by Don Lemon.


Square — Latin Cross (5 pieces)

Harry Lindgren solved this in 5 pieces using a PP dissection.

This dissection uses the method of completed tessellations. It dissects four squares and a small square to four latin crosses and the same small square. To avoid turning over one of the pieces, that piece is altered to have a curved edge. There are much simpler versions of this dissection, but this one demonstrates some unusual techniques.


Square — Maltese Cross (7 pieces)

Discovered by A. E. Hill (1926).