Dissections of a hexagon to an arithmetic series of polygons

Author : Gavin Theobald

{3} Triangle
{3}+{4} Triangle + Square
{3}+{4}+{5} Triangle + Square + Pentagon
{3}+{4}+{5}+{6} Triangle + Square + Pentagon + Hexagon
 
{4} Square
{4}+{5} Square + Pentagon
{4}+{5}+{6} Square + Pentagon + Hexagon
{4}+{5}+{6}+{7} Square + Pentagon + Hexagon + Heptagon
 
{4} Square
{4}+{6} Square + Hexagon
{4}+{6}+{8} Square + Hexagon + Octagon
{4}+{6}+{8}+{10}  Square + Hexagon + Octagon + Decagon


Triangle Triangle + Square Triangle + Square + Pentagon Triangle + Square + Pentagon + Hexagon

Hexagon — Triangle (5 piece)

Hexagon — Triangle + Square (7 pieces)

Hexagon — Triangle + Square + Pentagon (11 pieces)

Hexagon — Triangle + Square + Pentagon + Hexagon (14 pieces)


Square Square + Pentagon Square + Pentagon + Hexagon Square + Pentagon + Hexagon + Heptagon

Hexagon — Square (5 piece)

Hexagon — Square + Pentagon (10 pieces)

Hexagon — Square + Pentagon + Hexagon (11 pieces)

Hexagon — Square + Pentagon + Hexagon + Heptagon (17 pieces)


Square Square + Hexagon Square + Hexagon + Octagon Square + Hexagon + Octagon + Decagon

Hexagon — Square (5 piece)

Hexagon — Square + Hexagon (9 pieces)

Hexagon — Square + Hexagon + Octagon (12 pieces)

Hexagon — Square + Hexagon + Octagon + Decagon (18 pieces)