Rectification Numbers for Polyaboloes
Introduction
A polyabolo or polytan is a plane figure formed
by joining equal isosceles right triangles edge to equal edge.
In issue 14
of Rodolfo M. Kurchan's
Puzzle Fun,
Gustavo Piñeiro defines the rectification number
of a polyomino as the least number of cells that can be left vacant
when copies of the polyomino are packed in a rectangle.
Here I investigate the same problem for polyaboloes.
In the results below, I omit polyaboloes that can be
rectified—that is, that can tile some rectangle.
Such polyaboloes have Rectification Number 0.
See also Oblique Rectification
Numbers for Polyaboloes.
Triaboloes
2 Vacant Cells
5 Vacant Cells
Tetraboloes
2 Vacant Cells
4 Vacant Cells
8 Vacant Cells
Pentaboloes
2 Vacant Cells
3 Vacant Cells
4 Vacant Cells
6 Vacant Cells
7 Vacant Cells
8 Vacant Cells
12 Vacant Cells
13 Vacant Cells
Hexaboloes
2 Vacant Cells
4 Vacant Cells
6 Vacant Cells
8 Vacant Cells
10 Vacant Cells
12 Vacant Cells
18 Vacant Cells
Heptaboloes
1 Vacant Cell
2 Vacant Cells
4 Vacant Cells
5 Vacant Cells
6 Vacant Cells
9 Vacant Cells
10 Vacant Cells
11 Vacant Cells
16 Vacant Cells
17 Vacant Cells
18 Vacant Cells
22 Vacant Cells
25 Vacant Cells
Last revised 2023-09-07.
Back to Polyabolo Tiling
< Polyform Tiling
< Polyform Curiosities
Col. George Sicherman
[ HOME
| MAIL
]