Latin Cross Dissections

Author : Gavin Theobald

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{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{11} Hendecagon
{12} Dodecagon
{5/2} Pentagram
{6/2} Hexagram
{8/2} Octagram
{8/3} Octagram
{10/2} Decagram
{12/2} Dodecagram
{12/5}  Dodecagram
{R√2} Silver Rectangle
{Rϕ} Golden Rectangle
{R2} Domino
{R×} Optimised Rectangle
{G} Greek Cross
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
5 5 8 6 8 8 10 10 13 7


5/2 6/2 7/2 7/3 8/2 8/3 9/2 9/3 9/4 10/2 10/3 10/4 12/2 12/3 12/4 12/5
10 8 10 11 13 11 7


Triangle — Latin Cross (5 pieces)


Square — Latin Cross (5 pieces)


Pentagon — Latin Cross (8 pieces)


Hexagon — Latin Cross (6 pieces)

Discovered by Harry Lindgren (1961).


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 (1964).


Domino — Latin Cross (5 pieces)


Optimised Rectangle — Latin Cross (3 pieces)

The dissection is translational.


Greek Cross — Latin Cross (7 pieces)

Discovered by Harry Lindgren (1953).

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