M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in...
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Transcript of M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in...
M.C. EscherM.C. EscherJamie GilbertsonJamie Gilbertson
Math 471Math 471Fall 2005Fall 2005
Full name: Maurits Cornelis EscherFull name: Maurits Cornelis Escher
Born in Leeuwarden, Holland on Born in Leeuwarden, Holland on
June 17,1898June 17,1898
Entered secondary school in 1912 where Entered secondary school in 1912 where he did not enjoy mathematics, but he liked he did not enjoy mathematics, but he liked art class.art class.
BackgroundBackground
““I was extremely poor at arithmetic I was extremely poor at arithmetic and algebra because I had, and still and algebra because I had, and still have, great difficulty with the have, great difficulty with the abstractions of numbers and letters. abstractions of numbers and letters. When, later, in stereometry [solid When, later, in stereometry [solid geometry], an appeal was made to geometry], an appeal was made to my imagination . . . but in school I my imagination . . . but in school I never excelled in that subject” never excelled in that subject”
-M.C. Escher-M.C. Escher
His Start in ArtHis Start in ArtTraveled to Italy and began Traveled to Italy and began drawing sketches of the trees and drawing sketches of the trees and vistas. vistas.
Fascinated with structure and Fascinated with structure and lightlight
Paid careful attention to details of Paid careful attention to details of the roof shingles and the the roof shingles and the cobblestone path wayscobblestone path ways
His attraction to plane geometry began to His attraction to plane geometry began to grow.grow.
Visited the Alhambra and became very Visited the Alhambra and became very influenced by the Moor Civilizationinfluenced by the Moor Civilization
Constructed tessellations using Constructed tessellations using interlocking polygons.interlocking polygons.
Geometry and TessellationsGeometry and Tessellations
Though the Moor Civilization was Though the Moor Civilization was forbidden from using living forbidden from using living creatures in their art, Escher took a creatures in their art, Escher took a great interest in using these figures great interest in using these figures
Used mainly birds, lions, and fishUsed mainly birds, lions, and fish
Uses of SymmetryUses of Symmetry
TranslationTranslation
RotationRotation
ReflectionReflection
Glide-ReflectionGlide-Reflection
TranslationTranslation RotationRotation
Translation & RotationTranslation & Rotation
ReflectionReflection Glide-ReflectionGlide-Reflection
Reflection & Glide-ReflectionReflection & Glide-Reflection
Putting it all TogetherPutting it all Together
Used a fading technique to blend objects Used a fading technique to blend objects together.together.
Constructed the famous Metamorphose Constructed the famous Metamorphose series.series.
Metamorphose I
Became Became fascinated with fascinated with the concept of the concept of infinity and began infinity and began reflecting this into reflecting this into his art.his art.
InfinityInfinity
The Possible ImpossibilitiesThe Possible Impossibilities
Began constructing art that defied that Began constructing art that defied that natural laws of human naturenatural laws of human nature
3
The WaterfallThe Waterfall
BelvedereBelvedere
RelativityRelativity
““What pathetic slaves we turn out to What pathetic slaves we turn out to be of gravity’s dominant power over be of gravity’s dominant power over everything on earth. And then the everything on earth. And then the right angle between the horizontal right angle between the horizontal and the vertical! Almost everything and the vertical! Almost everything we construct … are all right-angled we construct … are all right-angled boxes. They really are dreadfully boxes. They really are dreadfully boring and annoying.”boring and annoying.”
-M.C. Escher -M.C. Escher
The Possible ImpossibilitiesThe Possible Impossibilities
With his fascination of infinity, he With his fascination of infinity, he created two never ending created two never ending illustrations:illustrations:– Drawing HandsDrawing Hands– MMööbius Stripbius Strip
Drawing HandsDrawing Hands
MMööbius Strip IIbius Strip II
"An endless ring-shaped band usually "An endless ring-shaped band usually has two distinct surfaces, one inside has two distinct surfaces, one inside and one outside. Yet on this strip nine and one outside. Yet on this strip nine red ants crawl after each other and red ants crawl after each other and travel the front side as well as the travel the front side as well as the reverse side. Therefore the strip has reverse side. Therefore the strip has only one surface." only one surface."
-M.C. Escher -M.C. Escher
In the EndIn the End
In the late 1960s, his health became very In the late 1960s, his health became very poor.poor.
Continued to complete his mathematical Continued to complete his mathematical creations into his later days.creations into his later days.
Died in March of 1972Died in March of 1972
Works CitedWorks Cited
Visions of SymmetryVisions of Symmetry by Doris by Doris Schattschneider Schattschneider © 1990© 1990
The Official M.C. Escher WebsiteThe Official M.C. Escher Website
www.mcescher.comwww.mcescher.com
The Geometry CenterThe Geometry Center