TESSELATIONS

TESSELATION

• An arrangement of shapes cuddled together, especially of polygons repeating a pattern without overlapping or gaps.

History of Tessellations

In 1619, Johannes Kepler created one of the first mathematical studies of Tessellations. No more then 200 years later in 1891, the Russian crystapher E.S. Federav proved that every tilting of a plane is constructed in accordance to one of the seventeen different groups of Isometries. The most famous contributor was the Dutch Artist M.C. Escher (1898-1972), was a man famous for his "impossible structures". Such as Ascending and Descending, Relativity, Transformation Prints etc.

TESSELLATIONS IN ART

• In art tessellations occur fairly often. Many of the paintings are intricate or vibrant in color, and with as design visible from different angles so it is visibly aesthetic. Some famous pieces are "waterfall" and "8 Heads" by M.C. Escher and the very famous Louvre made by I.M. Pei which is now in Pari, France

ESCHER

• Escher, born June 17, 1898, has been a natural with a pen, brush, or any other painting tool since a young age. He was soon shown to an, at the time, very prestigious artist ,Roland Holtz, who was impressed by his work. Then brought to an art school and was taught all about art. Once he became a grown man he made dozens of contributions to the tessellation community and made it his "personal stamp"on art.

NMSU:
In the NMSU website they show their contributions to tessellations by giving everyone a "how to" on tessellation. Along with informing the public of all things tessellation.

TESSELLATIONS IN MATH

• Tessellation are fairly simple, a collection of shapes (usually congruent) never overlapping and with no gaps. In this case the shape is a triangle, so it would be a set of triangles usually all being congruent or a set of triangles that have congruent duplicates, so generally as long as you have a few measures one can find the rest.

FUN FACTS:

• Escher was a very bad student. Soon after being critiqued by Roland Holtz, Escher failed his classes which was partially why he was brought to art school.
• Escher made an estimate of 2,500 world of art.
• We see tessellations every day, in nature from leaves on trees to the structures of bee hives.
• Man made things are also commonly tessellations that you may not think of like a brick house or a soccer ball

CITATIONS:

• http://www.tessellations.org/tess-escher1.shtml