This set is an excellent introduction to pentagon play: Create ever-changing patterns with 15 pairs of golden triangles and 5 pentagons in an acrylic 7" decagon tray. The four-color mix of the pieces makes it fun to continue to find new and different arrangements. Recommended for ages 8 to adult. $35

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This set of two shapes in four colors is the next best thing to a kaleidoscope. The 36-degree rhombus and the 72-degree rhombus are just what it takes to fill up the 7" decagon-shaped tray. Vary the patterns as you like from utterly chaotic to exquisitely symmetrical. Recommended for ages 6 to adult. $35

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This group of 4 shapes and 4 colors is the most complicated of the decagon series. It is a mini-lab for exploring the golden ratio of two golden triangles and two quadrilaterals (Roger Penrose's famous kites and darts). One of the surprises of Kite-Mosaik is that the entire set of tiles can be formed into one giant kite or one giant rhombus. Every size of kite, in all its stages of inflation, can also be modeled. And, of course, the 7" decagon tray itself can be filled with ever-changing symmetrical color designs. Recommended for ages 10 to adult. $35

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This high-quality edition was manufactured by the designers themselves. The 192 colorful flexible magnetic tiles, 2 centimeters on a side, are the 3 rhombus shapes it takes to tile with 7-fold symmetry. Their unique geometry makes it easy to create fascinating repeating and non-repeating patterns, beautiful mandalas (like the one shown here), and optical illusions of 3-D shapes. Also check out these gorgeous designs. The sturdy 24-gauge steel black textured board protects a design in progress even in transit and can serve as a mounting panel to show off your prettiest designs. The authors' illustrated instructions, printed right on the record album-style cover, provide a fine overview of symmetry types. Suitable for ages 6 and up. $42