Dissections of a triangle 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
{3}+{4}+{5}+{6}+{7} 
Triangle + Square + Pentagon + Hexagon + Heptagon
Triangle — Triangle (1 piece)
Triangle — Triangle + Square (5 pieces)
Triangle — Triangle + Square + Pentagon (9 pieces)
Triangle — Triangle + Square + Pentagon + Hexagon (13 pieces)
Triangle — Triangle + Square + Pentagon + Hexagon + Heptagon (21 pieces)