Dissection of square to two different polygons

Author : Gavin Theobald

{3}+{4}	Triangle + Square
{3}+{5}	Triangle + Pentagon
{3}+{6}	Triangle + Hexagon
{3}+{7}	Triangle + Heptagon
{3}+{8}	Triangle + Octagon
{3}+{10}	Triangle + Decagon
{3}+{12}	Triangle + Dodecagon
{3}+{5/2}	Triangle + Pentagram
{3}+{6/2}	Triangle + Hexagram
{3}+{8/3}	Triangle + Octagram
{4}+{5}	Square + Pentagon
{4}+{6}	Square + Hexagon
{4}+{7}	Square + Heptagon
{4}+{8}	Square + Octagon
{4}+{10}	Square + Decagon
{4}+{12}	Square + Dodecagon
{4}+{5/2}	Square + Pentagram
{4}+{6/2}	Square + Hexagram
{4}+{8/3}	Square + Octagram
{5}+{6}	Pentagon + Hexagon
{5}+{7}	Pentagon + Heptagon
{5}+{8}	Pentagon + Octagon
{5}+{10}	Pentagon + Decagon
{5}+{12}	Pentagon + Dodecagon
{5}+{5/2}	Pentagon + Pentagram
{5}+{6/2}	Pentagon + Hexagram
{5}+{8/3}	Pentagon + Octagram
{6}+{7}	Hexagon + Heptagon
{6}+{8}	Hexagon + Octagon
{6}+{10}	Hexagon + Decagon
{6}+{12}	Hexagon + Dodecagon
{6}+{5/2}	Hexagon + Pentagram
{6}+{6/2}	Hexagon + Hexagram
{6}+{8/3}	Hexagon + Octagram
{7}+{8}	Heptagon + Octagon
{7}+{10}	Heptagon + Decagon
{7}+{12}	Heptagon + Dodecagon
{7}+{5/2}	Heptagon + Pentagram
{7}+{6/2}	Heptagon + Hexagram
{7}+{8/3}	Heptagon + Octagram
{8}+{10}	Octagon + Decagon
{8}+{12}	Octagon + Dodecagon
{8}+{5/2}	Octagon + Pentagram
{8}+{6/2}	Octagon + Hexagram
{8}+{8/3}	Octagon + Octagram
{10}+{12}	Decagon + Dodecagon
{10}+{5/2}	Decagon + Pentagram
{10}+{6/2}	Decagon + Hexagram
{10}+{8/3}	Decagon + Octagram
{12}+{5/2}	Dodecagon + Pentagram
{12}+{6/2}	Dodecagon + Hexagram
{12}+{8/3}	Dodecagon + Octagram
{5/2}+{6/2}	Pentagram + Hexagram
{5/2}+{8/3}	Pentagram + Octagram
{6/2}+{8/3}	Hexagram + Octagram

3
6	4
8	7	5
8	7	9	6
10	9	12	11	7
9	8	11	10	13	8
10	9	11	11	13	12	10
8	7	9	9	11	10	11	12
10	10	12	11	14	12	14	11	5/2
9	8	10	10	12	11	12	10	12	6/2
9	8	11	10	13	12	13	10	13	11	8/3

Square — Triangle + Square (6 pieces)

The dissection is hingeable.

Square — Triangle + Pentagon (8 pieces)

Square — Triangle + Hexagon (8 pieces)

Discovered by Ernest Irving Freese.

Square — Triangle + Heptagon (10 pieces)

Square — Triangle + Octagon (9 pieces)

Square — Triangle + Decagon (10 pieces)

Square — Triangle + Dodecagon (8 pieces)

Discovered by Ernest Irving Freese.

Square — Triangle + Pentagram (10 pieces)

Square — Triangle + Hexagram (9 pieces)

Square — Triangle + Octagram {8/3} (9 pieces)

Square — Square + Pentagon (7 pieces)

Square — Square + Hexagon (7 pieces)

Square — Square + Heptagon (9 pieces)

Square — Square + Octagon (8 pieces)

Square — Square + Decagon (9 pieces)

Square — Square + Dodecagon (7 pieces)

Square — Square + Pentagram (10 pieces)

Square — Square + Hexagram (8 pieces)

Square — Square + Octagram {8/3} (8 pieces)

Square — Pentagon + Hexagon (9 pieces)

Square — Pentagon + Heptagon (12 pieces)

Square — Pentagon + Octagon (11 pieces)

Square — Pentagon + Decagon (11 pieces)

Square — Pentagon + Dodecagon (9 pieces)

Square — Pentagon + Pentagram (12 pieces)

Square — Pentagon + Hexagram (10 pieces)

Square — Pentagon + Octagram {8/3} (11 pieces)

Square — Hexagon + Heptagon (11 pieces)

Square — Hexagon + Octagon (10 pieces)

Square — Hexagon + Decagon (11 pieces)

Square — Hexagon + Dodecagon (9 pieces)

Discovered by Ernest Irving Freese.

Square — Hexagon + Pentagram (11 pieces)

Square — Hexagon + Hexagram (10 pieces)

Square — Hexagon + Octagram {8/3} (10 pieces)

Square — Heptagon + Octagon (13 pieces)

Square — Heptagon + Decagon (13 pieces)

Square — Heptagon + Dodecagon (11 pieces)

Square — Heptagon + Pentagram (14 pieces)

Square — Heptagon + Hexagram (12 pieces)

Square — Heptagon + Octagram {8/3} (13 pieces)

Square — Octagon + Decagon (12 pieces)

Square — Octagon + Dodecagon (10 pieces)

Square — Octagon + Pentagram (12 pieces)

Square — Octagon + Hexagram (11 pieces)

Square — Octagon + Octagram {8/3} (12 pieces)

Square — Decagon + Dodecagon (11 pieces)

Square — Decagon + Pentagram (14 pieces)

Square — Decagon + Hexagram (12 pieces)

Square — Decagon + Octagram {8/3} (13 pieces)

Square — Dodecagon + Pentagram (11 pieces)

Square — Dodecagon + Hexagram (10 pieces)

Square — Dodecagon + Octagram {8/3} (10 pieces)

Square — Pentagram + Hexagram (12 pieces)

Square — Pentagram + Octagram {8/3} (13 pieces)

Square — Hexagram + Octagram {8/3} (11 pieces)