5×18: 686,628 solutions (incomplete list) 6×15: 2,567,183 solutions (incomplete list) 9×10: 10,440,433 solutions (incomplete list) 10,440,433 solutions (non-isomorphic in reflection, reflections allowed when counting solutions) are reported in “One-sided Pentominoes in a 9 x 10 Rectangle” by Alfred Wassermann, University of Bayreuth, 2000.
How are pentominoes used in a transum puzzle?
Drag the pentominoes onto the rectangle so that they fit together without leaving any space. Tetrominoes – similar puzzles using tiles made of four squares each. Tangrams – use the pieces of the tangram puzzle to fit into the outline. Tessallations – fill the space with the tiles without leaving any gaps.
How many solutions are there for one sided pentominoes?
One-Sided Pentominoes These are just like regular pentominoes, except that non-isomorphic reflections (different shape when flipped over) are treated as separate pieces, and pieces are not allowed to be flipped. Rectangles 3×30: 46 solutions 5×18: 686,628 solutions (incomplete list) 6×15: 2,567,183 solutions (incomplete list)
How can I get my pentominoes to fit together?
Drag the pentominoes onto the rectangle so that they fit together without leaving any space. You can also try the Tetrominoes puzzles. This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.
What kind of solutions are there for pentominoes?
Pentominoes Rectangles Skewed Rectangles Misc Pentominoes Plus the Square Tetromino Pentominoes Plus the Monomino One-Sided Pentominoes Rectangles Pentominoes Rectangles 3×20: 2 solutions 4×15: 368 solutions 5×12: 1010 solutions 6×10: 2339 solutions Skewed Rectangles 20×3: 2 solutions
Are there any solutions to the 5×12 rectangle?
12×5: 233 solutions This solution can be easily rearranged into a solution to the 5×12 rectangle above, but not all solutions share this property. 10×6: 156 solutions Misc 3×20 ring (3×20 rectangle joined at the ends): 2 solutions (same as the 3×20 rectangle; the V piece forces a partition)
