With iOrnaments you can tesselate the plane – which means cover it without gaps or overlappings – with a self-painted pattern. Wonderful ornaments with a lot of inherent mathematics are created!

Ornaments are highly symmetric structures and therefore interesting for mathematicians. In everyday language the term symmetry is usually used as a synonym for axis or mirror symmetry. However, in mathematics rotations and shiftings are regarded as symmetric operations as well. The famous mathematician Prof. Dr. Hermann Weyl explained symmetry as follows: "A structure is symmetric if one can change it somehow and in the end receive the same result.

"iOrnaments" was developed by Prof. Dr. Jürgen Richter Gebert.