*培昌 欧阳 (广西科技大学)
Krzysztof Gdawiec (Institute of Computer Science, University of Silesia)
Rober Fathauer (Tessellations Company)
Alain Nicolas (Nicolas Tessellation)
Chung Kwok Wai (Department of Mathematics, City University of Hong Kong)
“Smaller and Smaller” and “Sphere Surface with Fish” are two artworks by the Dutch artist M.C. Escher. Their whole idea and layout are exceptionally complex and beautiful. This paper proposes an easy method to generate drawings similar to ”Smaller and Smaller” and “Sphere Surface with Fish”. To this end, the geometrical structure of rosette tilings is first considered from the viewpoint of symmetry group in detail. This gives a simple way to construct rosette tilings. Then, to embed a pre-designed template into kite-shaped tiles of rosette tilings, a one-to-one mapping between kite-shaped and square regions is presented. Finally, some detailed implements of producing rosette and spherical drawings are specified. The presented examples show that by using the existing rich wallpaper templates, the method proposed in the paper can generate a variety of Escher-like rosette drawings.