Many Tiling Puzzles

Tiling puzzles found with the aid of a program by dmoews - tiling-002.tgz

see http://djm.cc/dmoews.html

The puzzles are made from 9 pieces, 7 hexominoes, a domino and a tromino. See the image in Notes for the numbering used to identify individual hexominoes. See also - https://en.wikipedia.org/wiki/Hexomino

Four of the puzzles are of the kind that were described in thing:3155452, "Simple tiling puzzles". The hexominoes are in two sets, one of three pieces, numbers 6, 8, and 8 and a second set of four pieces numbers 16, 21, 22, and 29. The 4 piece set is to be taken, one at a time, and added to the three piece set to form a 4 piece puzzle. Each puzzle tiles a 5x5 square. As the pieces are all composed of 6 sub squares, the tiled square will be missing a sub square. In all 4 cases the solution will have a corner square missing; one of the puzzles, using piece 16, has a second solution where the tiled square lacks a sub square shifted diagonally one space in from a corner.

The two small pieces, a domino and a tromino, can be added to the 7 hexominoes to construct puzzles that tile to form rectangles - some trivial to solve - those with more pieces harder. See the image in Notes for the numbering.

Rectangular Tiling Puzzles

3x3  1 hexomino   1 tromino  1 puzzle - hexomino 16 &#43; tromino
3x5  2 hexominoes 1 tromino  2 puzzles -hexominoes 6 &amp; 16 &#43; tromino
                                        hexominoes 8 &amp; 16 &#43; tromino
4x5  3 hexominoes 1 domino  5 puzzles - hexominoes 6, 8, &amp; 16 &#43; domino
                                        hexominoes 6, 8, &amp; 21 &#43; domino
                                        hexominoes 6, 8, &amp; 22 &#43; domino
                                        hexominoes 6, 8, &amp; 29 &#43; domino
                                        hexominoes 8, 16, &amp; 22 &#43; domino
3x7  3 hexominoes 1 tromino  2 puzzles  hexominoes 6, 8, &amp; 16 &#43; tromino
                                        hexominoes 8, 8, &amp; 16 &#43; tromino
3x9  4 hexominoes 1 tromino  1 puzzle - hexominoes 6, 8, 8, &amp; 16
                                                           &#43; tromino
4x8  5 hexominoes 1 domino  2 puzzles - hexominoes 6, 8, 16, 21 &amp; 22 
                                                           &#43; domino
                                        hexominoes 6, 8, 21, 22 &amp; 29 
                                                           &#43; domino
5x9  7 hexominoes 1 tromino 1 puzzle - all 7 hexominoes that is 6, 8, 8,
                                       16, 21, 22 &amp; 29 &#43; tromino
                                       many different arrangements - hint
                                       one has the tromino at a corner

Improved openSCAD code is given; any of the 2472 possible puzzles described in thing:3155452, can be printed directly

Descrição

Rectangular Tiling Puzzles