Thea and Corgan nets

Pentagonal pyramid: 6 faces 7 vertices 10 edges (#v = #f + 1)
Pentagonal prism: 7 faces 10 vertices 15 edges (#e = #sides in the base x3)
Triangular pyramid: 4 faces 4 vertices 6 edges (#f = #v)
Triangular prism: 5 faces 6 vertices 9 edges (#f = #v + 1)
Hexagonal prism: 8 faces 12 vertices 18 edges ( #f = #v + 4)
Hexagonal pyramid: 7 faces 6 vertices 12 edges ( #v = #f + 1)
Cube: 6 faces 8 vertices 12 edges
(#v=#f+2)
Square based pyramid: 5 faces 5 vertices 8 edges
(#f=#v)

By Corgan and Thea