All images © Abaroth. Permission is given to reproduce for non-profit purposes only.

Home   Historic Sites   Models   Heraldry   Puzzles   Garden   Links

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

Reëntrant Solutions

Holeless Variations

Baiocchi Figures