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"For
me it remains an open question whether [this work] pertains to the
realm of mathematics or to that of art."
– M.C. Escher
Maurits Cornelis Escher, or "Mauk" as he came to be nicknamed, was
born in Leeuwarden, Holland in 1898. He was the fourth and youngest
son of a civil engineer. After 5 years the family moved to Arnhem
where Escher spent most of his youth. After failing his high school
exams, Maurits ultimately was enrolled in the School for
Architecture and Decorative Arts in Haarlem. While he was still in
school his family planned for him to follow his father's career of
architecture, but poor grades and an aptitude for drawing and design
eventually led him to a career in the graphic arts. Escher is one of
the world's most famous graphic artists. He created unique and
fascinating works of art that explore and exhibit a wide range of
mathematical ideas. He is most famous for his so-called impossible
structures, such as Ascending and Descending, Relativity, his
Transformation Prints, such as Metamorphosis I, Metamorphosis II and
Metamorphosis III, Sky & Water I or Reptiles. Apart from being a
graphic artist, M.C. Escher illustrated books, designed tapestries,
postage stamps and murals. In "Ascending and Descending" lines of
people ascend and descend stairs in an infinite loop, on a
construction which is impossible to build and possible to draw only
by taking advantage of quirks of perception and perspective. |
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"Only those who attempt the absurd will achieve the impossible.
I think it's in my basement... let me go upstairs and check."
M.C. Escher was a man studied and
greatly appreciated by respected mathematicians, scientists and
crystallographers yet he had no formal training in math or
science. He was a humble man who considered himself neither an
artist or mathematician. Intricate repeating patterns,
mathematically complex structures, spatial perspectives all
require a "second look". In Escher's work what you see the first
time is most certainly not all there is to see. During his
lifetime he made 448 lithographs, woodcuts and wood engravings
and over 2000 drawings and sketches. Escher's first print
of an impossible reality was a woodcut print called "Still Life
and Street" in March of 1937. It depicts a table with books and
other items, which blends into a street scene in the background. This image is a classic
example of Escher’s plays on perspective. In it, the horizontal
plane of the table continues into the distance to become the
street, and the rows of books on the table are seen to lean
against the tall buildings that line the street. His artistic
expression was created from images in his mind, rather than
directly from observations and travels to other countries.
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"What
I give form to in daylight is only one per cent of what I have seen
in darkness."
Escher worked primarily in the media of lithographs and woodcuts,
though the few mezzotints he made are considered to be masterpieces
of the technique. In his graphic art, he portrayed mathematical
relationships among shapes, figures and space. Additionally, he
explored interlocking figures using black and white to enhance
different dimensions. Integrated into his prints were mirror images
of cones, spheres, cubes, rings and spirals. Tessellations are
arrangements of closed shapes that completely cover the plane
without overlapping and without leaving gaps. Typically, the shapes
making up a tessellation are polygons or similar regular shapes,
such as the square tiles often used on floors. Escher, however, was
fascinated by every kind of tessellation – regular and irregular –
and took special delight in what he called “metamorphoses,” in which
the shapes changed and interacted with each other, and sometimes
even broke free of the plane itself. By his method of coloring this
tessellation, Escher has made it easy for us to understand how the
tessellation was created. You can divide the design into two
portions: equilateral triangles defined by groups of yellow
creatures and equilateral triangles defined by groups of red
creatures. These two types of equilateral triangles tessellate in a
predictable manner.
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"By
keenly confronting the enigmas that surround us, and by considering and
analyzing the observations that I have made, I ended up in the domain of
mathematics, Although I am absolutely without training in the exact sciences, I
often seem to have more in common with mathematicians than with my fellow
artists."The laws of mathematics are not merely human inventions or creations. They
simply 'are'; they exist quite independently of the human intellect. The most
that any(one) ... can do is to find that they are there and to take cognizance
of them"."His work went almost unnoticed until the 1950’s, but by 1956 he had given his
first important exhibition, was written up in Time magazine, and acquired a
world-wide reputation. M.C Escher was awarded the Knighthood of the Order of
Orange Nassau in 1955. Subsequently he regularly designed art for dignitaries
around the world. An asteroid, 4444 Escher, was named in his honor in 1985.
Escher played with architecture, perspective and impossible spaces. His art
continues to amaze and wonder millions of people all over the world. In his work
we recognize his keen observation of the world around us and the expressions of
his own fantasies. M.C. Escher shows us that reality is wondrous, comprehensible
and fascinating. |
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