Dissections of a Triangle to Multiple Triangles

Author : Gavin Theobald

2×{3}	Two triangles
3×{3}	Three triangles
4×{3}	Four triangles
5×{3}	Five triangles
6×{3}	Six triangles
7×{3}	Seven triangles
8×{3}	Eight triangles
9×{3}	Nine triangles
10×{3}	Ten triangles
11×{3}	Eleven triangles
12×{3}	Twelve triangles
13×{3}	Thirteen triangles
16×{3}	Sixteen triangles

×2	×3	×4	×5	×6	×7	×8	×9	×10	×11	×12	×13	×14	×15	×16
5	6	4	9	11	11	13	9	16	18	18	19			16

Triangle — 2 × Triangle (5 pieces)

Discovered by Harry Bradley.

Triangle — 3 × Triangle (6 pieces)

Described by Plato.

The dissection is translational and hingeable.

Triangle — 4 × Triangle (4 pieces)

The dissection is translational.

Triangle — 5 × Triangle (9 pieces)

Discovered by Ernest Irving Freese.

Triangle — 6 × Triangle (11 pieces)

Triangle — 7 × Triangle (11 pieces)

Previouly Ernest Irving Freese discovered a 12 piece solution.

Triangle — 8 × Triangle (13 pieces)

Triangle — 9 × Triangle (9 pieces)

The dissection is translational.

Triangle — 10 × Triangle (16 pieces)

Triangle — 11 × Triangle (18 pieces)

Triangle — 12 × Triangle (18 pieces)

The dissection is translational and hingeable.

Triangle — 13 × Triangle (19 pieces)

Previouly Ernest Irving Freese discovered a 20 piece solution.

Triangle — 16 × Triangle (16 pieces)

The dissection is translational.