In a quest to represent the infinite by tiling a region with similar but smaller copies of a figure, |
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Escher's print Smaller and Smaller |
Escher was inspired by Coxeter to produce his Circle Limit prints. |
In these prints, circles are tessellated by similar (not in Euclidean geometry) figures that decrease in size but increase in number as they approach the circle. |
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Escher's print Circle Limit I |
It may seem that this process should generate a fractal, but the limit set is the bounding circle, a completely Euclidean shape. |
Peter Radeschelers and Robert Fathauer have made prints in a way mimicking Escher's approach, but with fractal perimeters. |
Return to Tilings with Fractal Perimeters.