Locked Dissections: Index

Author : Gavin Theobald

Introduction
{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{8} Octagon
{10} Decagon
{p}={q}={r} Three way
3
7 3 4
8 2 7 1 5
7 2 6 1 10 3 6
13 5 10 3 14 5 11 3 7
10 3 8 3 11 2 10 3 8
10 3 8 1 11 2 10 1 11 1 10
9 3 7 1 12
11 4 11 4 11 2 15 6 10 4 5/2
6 1 8 3 7 1 6/2
8 1 11 2 17 6 8/2
12 4 11 3 14 5 1711 8/3
10 3 21 7 10/2
11 5 15 7 13 5 25 13 12/2
10 2 11 1 25 13 12/3

The small figures in the table above indicate the overhead compared to an ordinary dissection. They give an indication of where improvement may be possible. I do not indicate how many pieces are turned over as I usually do as this is common to almost all locked dissections.

Is it possible to reduce this overhead to zero?