Latin Cross Dissections

Author : Gavin Theobald

Triangle — Latin Cross (5 pieces)

Previously Harry Lindgren discovered a different 5 piece solution.

This solution uses the TT2 method.

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.

Pentagon — Latin Cross (8 pieces)

Hexagon — Latin Cross (6 pieces)

Discovered by Harry Lindgren.

Heptagon — Latin Cross (8 pieces)

Octagon — Latin Cross (8 pieces)

Enneagon — Latin Cross (10 pieces)

Decagon — Latin Cross (10 pieces)

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

Hendecagon — Latin Cross (13 pieces)

Dodecagon — Latin Cross (7 pieces)

Discovered by Harry Lindgren (1951).

Latin Cross — Pentagram (10 pieces)

Latin Cross — Hexagram (8 pieces)

The dissection is translational.

Latin Cross — Octagram {8/2} (10 pieces)

Latin Cross — Octagram {8/3} (11 pieces)

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

Latin Cross — Decagram {10/2} (13 pieces)

Latin Cross — Dodecagram {12/2} (11 pieces)

This dissection is a very, very tight fit!

Latin Cross — Dodecagram {12/5} (7 pieces)

Discovered by Harry Lindgren.

Silver Rectangle — Latin Cross (5 pieces)

Golden Rectangle — Latin Cross (5 pieces)

Discovered by Harry Lindgren.

Domino — Latin Cross (5 pieces)

Optimised Rectangle — Latin Cross (3 pieces)

The dissection is translational. The pieces all have equal area.

Greek Cross — Latin Cross (7 pieces)

Discovered by Harry Lindgren (1953).