Multiple Hole Dissections

Author : Gavin Theobald

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[4]—[6]—[8]—[10]—[12]   Square — Hexagon — Octagon — Decagon — Dodecagon
[5/2]—[6/2]—[8/3] Pentagram — Hexagram — Octagram


The following tables allow the number of pieces generally required for a hole dissection to be calculated. They give the number of pieces for each shape. Then add one extra for each shape and finally subtract two. This value is only an approximation.

The numbers in these tables are the smallest number of pieces required to convert a shape to a P strip element. Superscript figures require pieces to be turned over. Entries marked with an asterisk * have strips that are wider than a square, hence may require an extra piece.

3 4 5 6 7 8 9 10 11 12
2 1 3 2 4* 3 5 3 4

5/2 6/2 7/2 7/3 8/2 8/3 9/2 9/3 9/4 10/2 10/3 10/4 12/2 12/3 12/4 12/5
3* 3 6 5* 4 3 7 7 6  10 6 6 5 5 5 8 7 5*

R G L
1 2 2


Square — Hexagon — Octagon — Decagon — Dodecagon (14 pieces)


Pentagram — Hexagram — Octagram [8/3] (10 pieces)

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