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Tessellations

Geometry Research Project
by

J D

on 26 February 2013

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Transcript of Tessellations

Tessellations in Art: Water and Sky
M. C. Escher What are Tessellations? Relativity Interesting Facts about - He was the youngest of four brothers
- Along with sketches, he made woodcuts, lithographs, and mezzotints
- He met his wife, Jetta, while traveling in Italy
- He once said,"Filling two-dimensional planes has become a real mania to which I have become addicted and from which I sometimes find it hard to tear myself away."
- As a child his nickname was, "Mauk"
- He had 3 sons
- His grades were generally poor and he failed the second grade
- He was very sick as a child
- As an artist he produced 448 woodcuts, linocuts, and lithos, as well as over 2000 drawings Who is M. C. Escher? Types of Tessellations Jeff Davis Tessellations Tessellations in Architecture: Tessellations in Nature: M. C. Escher Original tessellations consisted of square tiles that made a larger picture. These mosaics were common in Roman buildings. Since then, tessellations have changed. Now the tiles are commonly an animal or person. These tiles cover a 2D surface symmetrically without overlapping or leaving any gaps. Alhambra Palace
at Granada, Spain. Honeycomb Maurits Cornelius Escher, or M. C. Escher as he is more commonly known, was a Dutch graphic artist. He is most recognized for his mathematically inspired works. They feature tessellations, impossible stuctures, the exploration of infinity, and architecture. He was born June 17, 1898 in Leeuwarden, The Netherlands. He was an exceptionally good artist when he was young, and his teachers encouraged him to pursue art. He created his amazing works until 1970, when he moved into a retirement home. He died there on March 27, 1972 at the age of 73. This is a lithograph by M. C. Escher entited, Relativity. It is a scene depicting a world in which the nomal laws of gravity do not exist. This creates the effect that some people are walking on walls and others sitting on the ceiling. I once read a book that had characters walk through a room such as this. It always amazed me, how the book eplained that a series of mirrors were used to transform a stairway with platforms into what is depicted in this lithograph. So when I saw it, I instantly felt a connection to it. I have always dreamed of someday making a room like this. THE END Regular: Symmetric pattern of congruent regular polygons. Can only be made from equilateral triangle, squares, or hexagons.
EX:


Semi-Regular: Uses a variety of eight specific regular polygons. There is an identical polygonal arrangement at each vertex.
EX: Penrose
M. C. Escher British
Museum Pineapple
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