The Square Pieces: Polyominoes Historical Introduction Aesthetic considerations
Dissection Problems in PFCS/FCR Summary of results in chronological order
The FCR Coding Method Key to decoding the dissection problems in Fairy Chess Review
Enumeration of Square Pieces The binary number method
The 1-Square Piece: Monomino The problems of 'Squaring the Square' and 'Squaring the Rectangle'
The 2-Square Piece: Domino Dominizing the Chessboard a study of dissections into 2-square pieces ('dominoes')
The 5-Square Pieces: Pentominoes Shapes formed with the 12 5-square pieces.
s + s Shapes formed with the 17 pieces of 5 and 4 squares, and subsets.
s + s + s +  + [1} Shapes formed with the 21 pieces of 1 to 5 squares, and subsets.
s on the Chessboard Where the four uncovered squares form various disconnected patterns.
s +  on the Chessboard: transfers Where the uncovered squares are connected. Proof of Dawson's theorem.
s +  on the Chessboard: patterns Inset squares, rectangles, triangles, etc.
The 6-Square Pieces Shapes formed with the 35 hexominoes.
The s in Multiple Shapes Two or more shapes formed simultaneously with the 35 hexominoes.
Using more than 35 s Includes Frans Hansson's 6-fold magnified -shapes using one duplicate.
Using less than 35 s Includes shapes using the 20 asymmetric pieces, the 24 evenly chequered pieces, etc.
The s + s Shapes formed with all 47 pieces of 5 or 6 squares.
**The 7-Square Pieces: Heptominoes Shapes formed with the 108 heptominoes.