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Incorporating designs into the tiles that form tessellations presents aninteresting challenge for artists. Creating a viable MC Escher like image thatworks esthetically as well as functionally requires resolving incongruencies ata tile's edge while constrained by its shape. Escher was the most well knownpractitioner in this style of mathematical visualization, but there aresignificant mathematical shapes to which he never applied his artistry. Theseshapes can incorporate designs that form images as appealing as those producedby Escher, and our paper explores this for traditional tessellations, PenroseTilings, fractals, and fractal/tessellation combinations. To illustrate theversatility of tiling art, images were created with multiple figures andnegative space leading to patterns distinct from the work of others.

The Art of Space Filling in Penrose Tilings and Fractals