Rounded Polyomino Puzzles

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Rounded Polyomino Puzzles

These puzzles use the 22 rounded tetrominos. The pieces cover an area of 88 unit squares and patterns are considered symmetric regardless of the position of the bridges.

 

Geometric Forms

       Use all the pieces to make a symmetric pattern. Here are examples for the different types of symmetry.

Type of Symmetry

Full Tetrarotary Double Bilateral Reflective Double Diagonal Diagonal Birotary
Here is a page of these puzzles which you can print and solve:  Rounded Tetromino Puzzles

Geometric Pairs

       Use all the pieces to make a two copies of a symmetric pattern. Here are examples for the different types of symmetry.

Type of Symmetry

Full Tetrarotary Double Bilateral Reflective Double Diagonal Diagonal Birotary
Here is a page of these puzzles which you can print and solve:  Rounded Tetromino Pairs

Oddities

       An oddity is a figure with binary symmetry formed by an odd number of copies of a polyform. You can find more about Polyform Oddities  at George Sicherman's Polyform Curiosities website. Here are the minimal oddities for the rounded trominos.

Holeless alternative GS.

Compatibilities

      Polyforms are compatible if there is a shape that can be tiled by each. You can find more about Polyform Compatibility at George Sicherman's Polyform Curiosities website. Here are minimal known compatibilities for the rounded tetrominos, several of which were solved or improved by George.
 
* 2 2 2 2 4 4 R 2 4 R 2 4 4 4 4 4 4 4 R 4 R
2 * 4 4 2 2 4 4 2 2 2 2 2 2 2 2 4 4 4 4 8 8
2 4 * 2 4 4 4 4 8 4 2 2 2 2 2 4 2 4 2 4 4 2
2 4 2 * 4 2 2 4 4 2 2 2 4 2 2 4 4 4 4 4 4 2
2 2 4 4 * R R R 2 4 4 8 2 2 8 8 R R R R R R
4 2 4 2 R * 2 2 4 2 2 2 2 2 4 2 2 4 4 4 2 2
4 4 4 2 R 2 * 4 4 2 2 4 2 2 2 4 2 4 2 R 4 4
R 4 4 4 R 2 4 * 2 2 2 2 4 4 2 4 4 R 4 4 2 4
2 2 8 4 2 4 4 2 * 2 2 4 2 2 2 2 2 4 8 R R 8
4 2 4 2 4 2 2 2 2 * 4 2 4 2 2 2 2 4 4 R R 8
R 2 2 2 4 2 2 2 2 4 * 2 2 4 2 2 4 4 2 4 2 4
2 2 2 2 8 2 4 2 4 2 2 * 2 2 4 2 4 4 4 8 4 4
4 2 2 4 2 2 2 4 2 4 2 2 * 2 2 4 2 2 4 4 4 4
4 2 2 2 2 2 2 4 2 2 4 2 2 * 2 2 4 4 4 2 2 4
4 2 2 2 8 4 2 2 2 2 2 4 2 2 * 2 4 2 2 2 4 4
4 2 4 4 8 2 4 4 2 2 2 2 4 2 2 * 4 4 4 4 2 2
4 4 2 4 R 2 2 4 2 2 4 4 2 4 4 4 * 4 2 2 4 2
4 4 4 4 R 4 4 R 4 4 4 4 2 4 2 4 4 * 2 2 2 2
4 4 2 4 R 4 2 4 8 4 2 4 4 4 2 4 2 2 * 4 4 2
R 4 4 4 R 4 R 4 R R 4 8 4 2 2 4 2 2 4 * 2 4
4 8 4 4 R 2 4 2 R R 2 4 4 2 4 2 4 2 4 2 * 4
R 8 2 2 R 2 4 4 8 8 4 4 4 4 4 2 2 2 2 4 4 *

2 Tiles

4 Tiles

8 Tiles

ReŽntrant Solutions

Holeless Variations

 

Baiocchi Figures

       A Baiocchi Figure is one with maximal symmetry for the set of polyforms. You can find more about Baiocchi Figures at George Sicherman's Polyform Curiosities website. Here are the minimal solutions for the rounded tetrominos, most of which were found by George.

 

Contiguous Variations, most found by George Sicherman.

 

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