Isolated Hexomino Pair Rectangles
The starting point for this investigation is George Sicherman’s Hexomino Pair Rectangles. In that page, he defines a hexomino pair rectangle as a rectangle that can be tiled by a pair of hexominoes using at least one of each. I add a constraint - hexominoes from one of the pair are not allowed to touch. I refer to the hexominoes as the isolating, and isolated hexomino.
In the table below, you will see number of tiles needed to for each pair of hexominoes. The rows are the isolating hexominoes, while the columns are the isolated hexomino. The tilings are minimal to the best of my knowledge. If you find a solution with less tiles, or a new solution, please write.
Contributions were received from George Sicherman (GS).
Hexomino Numbers
Table of Results
In the table, the entries are the number of tiles needed, which are then referenced in the list of tilings below. Round brackets indicate that this tiling was already isolated in Hexomino Pair Rectangles, so refer back to that page to see the tiling. Spaces in the table may indicate that a tiling is possible or impossible. Refer to Hexomino Pair Rectangles to understand which.
3 Tiles
4 Tiles
5 Tiles
6 Tiles
7 Tiles
8 Tiles
9 Tiles
10 Tiles
12 Tiles
14 Tiles
15 Tiles
16 Tiles
18 Tiles
20 Tiles
21 Tiles
22 Tiles
24 Tiles
25 Tiles
26 Tiles
28 Tiles
30 Tiles
32 Tiles
34 Tiles
35 Tiles
36 Tiles
39 Tiles
40 Tiles
42 Tiles
44 Tiles
46 Tiles
48 Tiles
50 Tiles
52 Tiles
54 Tiles
56 Tiles
60 Tiles
64 Tiles
65 Tiles
66 Tiles
68 Tiles
70 Tiles
72 Tiles
76 Tiles
78 Tiles
84 Tiles
90 Tiles
92 Tiles
96 Tiles
98 Tiles
112 Tiles
116 Tiles
120 Tiles
128 Tiles
140 Tiles
168 Tiles
260 Tiles
320 Tiles
1368 Tiles
