Shape
Pieces
there are 22 pentahexes only 10 (asymmetrical) pieces are used in Meteor puzzle.
Solutions
Meteor has 1049 solutions.
Shape - at official web site
Pieces - 14 tertatans - complete set
Solutions
Delta has 747 solutions.
Shape - at official web site
Pieces - 20 pieces on this grid
two halfsquares and two triangles -16 pieces
three halfsquares and one triangle - 2 pieces
one halfsquare and three triangles - 2 pieces
Solutions
Heart has 1914 solutions.