Hexominoes

Hexominoes-Plus

Also known as Kadon's Sextillions, these are the hexominoes with a second N06 ("short N") piece called S16 ("short S"), for a total of 36 pieces, avoiding the parity imbalance and allowing the construction of simple rectangles.

One-Sided Hexominoes

These are just like regular hexominoes, except that non-isomorphic reflections (different shape when flipped over) are treated as separate pieces, and pieces are not allowed to be flipped.

Cornucopia Puzzle

Invented by Stewart T. Coffin, this is a semi-arbitrary subset of the hexominoes. Many Cornucopia puzzles described in Coffin's Puzzling World of Polyhedral Dissections then only use a subset of this subset.

From the set of hexominoes,

eliminate all pieces having reflexive or rotational symmetry and all those containing a 2 x 2 square because they are less desirable for various reasons already explained. The remaining 17 pieces are the set of Cornucopia pieces.

—The Puzzling World of Polyhedral Dissections, by Stewart T. Coffin

These are all the pieces listed in An Introduction to Polyominoes: Hexominoes with 8 aspects which do not contain 2x2 blocks. The Polyform Puzzler hexomino names of the pieces are listed under the first puzzle below.

• 17x6 rectangle (suggested by Dan Klarskov): 162,086 solutions

  

  The hexomino piece names of the Cornucopia puzzle are (in roughly equivalent relative positions to the pieces in the puzzle image above):

  F06 N16   F36 F16 G06 T16
  H06  L06   F26    W26 J06
  U06   Z16 M06  W06 Y06 V06