Memo-1438

Type:

Bach Art Print

Title:

Gödel, Bach (Braided): An Eternal Escherization

Description:

Escher also created a number of dihedral tilings: designs featuring two different shapes. He was fond of these designs, since with more than one shape it was possible to tell a story, to have the shapes complement each other somehow.
The Escherization problem can be adapted in an obvious way to two goal shapes. We can also extend the space of tilings by including in the parameterization a path that splits an isohedral tile shape into two pieces. We compare the two pieces to the goal shapes and run the optimization as before, attempting to minimize the maximum of the two comparisons.

Measures:

Creator:

Reference: Craig S. Kaplan and David H. Salesin. Escherization. SIGGRAPH 2000 , the 27^th International Conference on Computer Graphics and Interactive Techniques. New Orleans, Louisiana, USA, 25-27 July 2000.

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Source/Links: Escherization
Contributor: Teddy Kaufman (January 2008)