2M.C. Escher (1898 – 1972)Dutch graphic artist best known for his optical illusions and mathematically inspired artwork.During his life, he became obsessed with filling surfaces with pictures that did not overlap or leave spaces.M.C. Escher, Relativity, Lithograph.
3Escher is considered the father of modern tessellations. M.C. Escher (1898 – 1972)Escher is considered the father of modern tessellations.
4M.C. Escher (1898 – 1972)Escher is considered the father of modern tessellations. They frequently appeared in his work.Sky and Water 1, Woodcut.
5M.C. Escher (1898 – 1972)The word “tessera” in latin means “small stone cube.” They were used to make “tessellata” the mosaic pictures on Roman floors and walls of buildings.Frogs and Fish, 1942.
6M.C. Escher (1898 – 1972)In tessellations, shapes interlock and completely cover the picture plane.Escher produced his first tessellation in 1925.Lions
14TessellationsIn creating a tessellation, it is usually easiest to start with a basic geometric shape.Certain shapes will tessellate to completely fill the page, leaving no spaces.
15What shapes will tessellate? Circles will not tessellate.
16What shapes will tessellate? Triangles will tessellate.
17What shapes will tessellate? Squares will tessellate.
18What shapes will tessellate? Pentagons will not tessellate.
19What shapes will tessellate? Hexagons will tessellate.
20What shapes will tessellate? Octagons will not tessellate.
21Tessellations Start with a square. Every time you want to add or subtract from this basic shape, you will have to adjust the opposite side as well.Whatever shape you cut from one side must be slid across the shape and taped to the opposite side in order to create a shape that will tessellate.