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I've been involved with M.C. Escher's work for the past several years. I don't mean
I've seen his work and looked at it periodically over that time; I mean I'm immersed in
his genius and creativity everyday, and almost everyday there are new discoveries.
On several occasions I've wondered what Escher would think about the popularity and the
occasional metamorphosing of his art over the last 25 years. Can you imagine his thoughts
on computer programs that automatically generate tessellations; would he be excited or
woefully disappointed? What would he think about his art being reproduced on T-shirts,
silk ties, puzzles, computer mouse pads and the like? Would he object to his art being
modified to fit some marketing director's decision of what will sell this season? Could he
ever have imagined an Internet site dedicated to him!?
Lots of books have been written and sold regarding Escher's art, his thoughts, and his
personal history. In that reading, thousands of insights, quotes, and stories paint a
picture, which by my interpretations, may provide answers to the questions posed above.
We'll be discussing tessellations for awhile, what Escher called the Regular Division
of the Plane. If you don't know what one is or how to describe one, here's my answer. A
tessellation is a pattern of repeating, interlocking, geometric shapes, usually of
contrasting color schemes. For examples you can look in the Art Gallery at Horseman, Lizards,
or the Bird Motif on the Home Page. No one I've met will deny that M.C. Escher is the
master and modern day father of tessellating.
Recently, I received a software program by MECC called TesselMania!, it's a computer
program for generating tessellations. I was reviewing it to determine if it belonged in
the product line of our stores. Naturally, as with all new software, it was hard to wait,
get it home, pop in the floppy, install it to the hard drive, and get down to some serious
playing. While waiting for the icon to pop up and double clicking on it I thought,
"Boy, this really cheats the system, doesn't it?" What would Escher think?
I had the pleasure, while assisting with the Escher in Seattle exhibition in
Seattle, WA, to attend a tessellation seminar presented by Bill Brown and hosted by Rock
Walker. In the seminar, attendees were taught how to conceive, create and produce
tessellations by hand. Creating a tessellating pattern turned out to be easier than I
thought it would be. The hard part was creating anything I thought to be attractive. I,
and many of the attendees, achieved a great deal of pleasure from completing our
assignments, particularly after Mr. Brown's skillful explanation of the history of
tessellating. He reviewed Moorish tilings, hieroglyphics of various sorts, and Escher's
mastery of the art. Then he unleashed the 150 plus people in the room on an unsuspecting
art world.
The experience at the seminar popped into my head as the icon expanded into the
program. The program gave me several examples and instructions on how to complete a
tessellation. As I played around and created my first computer tessellation, I reached the
same level of satisfaction, perhaps even greater, as I had in Mr. Brown's seminar. So I
considered, had I really cheated according to Escher's standards?
From my layman's point of view it seems we have two basic elements of creating a
tessellation, that of the structure of the shape and how the shape is colored or marked.
It's interesting to note the great respect crystallographers had for Escher. Tessellation
represents not just the simple repetition of shapes but can actually recreate what is
found in nature. For example, the difference between graphite in your pencil and the
diamond in your wife's ring is a matter of how the carbon atoms are tessellated in three
dimensions. Additionally, it was while Roger Penrose
was combating the problem of covering a surface, in a non-repeating way, that he
discovered he could solve the problem with just two special shapes. This may seem
insignificant until you realize that chemical crystals which form in the same
non-repeating manner make the ideal substances for non-stick cooking pans.
Escher wrote in 'M.C. Escher, The Graphic Work';
Published by Benedikt-Taschen Verlag, the following, "The regular division of a
plane... This is the richest source of inspiration that I have ever struck; nor has it yet
dried up. The Moors were masters of this. They decorated walls and floors, particularly in
the Alhambra in Spain, by placing congruent, multi-coloured pieces of majolica together
without leaving any spaces between. What a pity it is that Islam did not permit them to
make 'graven images'. They always restricted themselves, in their massed tiles, to designs
of an abstract geometrical type. Not one single Moorish artist, to the best of my
knowledge, ever made so bold (or maybe the idea never occurred to him) as to use concrete
recognizable, naturistically conceived figures of fish, birds, reptiles or human beings as
elements in their surface coverage. This restriction is all the more unacceptable to me in
that the recognizability of the components of my own designs is the reason for my
unfailing interest in this sphere."
I concluded that I had indeed cheated the system regarding the fundamental components
of creating the structure of a tessellation, those being translation, rotation and
reflection. These are the physical, mathematical constants which must be employed to
successfully cover a surface. I had not, however, cheated the creative side, that of
marking and coloring the tessellation into recognizable patterns, figures or characters
which covered the surface. My first attempt, if you're wondering, was dinosaurs. Any
parent of a six year old knows the importance of this subject.
I decided that while I may not have Escher's blessing for my technical merit I would
receive kudos for my creative attempts. A split decision, if you will. We've also decided
to add TesselMania! to our product line.
Continued in Part 2 ...
Tom Litchfield
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