M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in...
-
Upload
dominic-ray -
Category
Documents
-
view
228 -
download
2
Transcript of M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in...
![Page 1: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/1.jpg)
M.C. EscherM.C. EscherJamie GilbertsonJamie Gilbertson
Math 471Math 471Fall 2005Fall 2005
![Page 2: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/2.jpg)
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
![Page 3: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/3.jpg)
““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
![Page 4: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/4.jpg)
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
![Page 5: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/5.jpg)
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
![Page 6: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/6.jpg)
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
![Page 7: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/7.jpg)
Uses of SymmetryUses of Symmetry
TranslationTranslation
RotationRotation
ReflectionReflection
Glide-ReflectionGlide-Reflection
![Page 8: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/8.jpg)
TranslationTranslation RotationRotation
Translation & RotationTranslation & Rotation
![Page 9: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/9.jpg)
ReflectionReflection Glide-ReflectionGlide-Reflection
Reflection & Glide-ReflectionReflection & Glide-Reflection
![Page 10: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/10.jpg)
Putting it all TogetherPutting it all Together
![Page 11: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/11.jpg)
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
![Page 12: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/12.jpg)
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
![Page 13: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/13.jpg)
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
![Page 14: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/14.jpg)
The WaterfallThe Waterfall
![Page 15: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/15.jpg)
BelvedereBelvedere
![Page 16: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/16.jpg)
RelativityRelativity
![Page 17: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/17.jpg)
““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
![Page 18: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/18.jpg)
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
![Page 19: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/19.jpg)
Drawing HandsDrawing Hands
![Page 20: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/20.jpg)
MMööbius Strip IIbius Strip II
![Page 21: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/21.jpg)
"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
![Page 22: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/22.jpg)
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
![Page 23: M.C. Escher Jamie Gilbertson Math 471 Fall 2005. Full name: Maurits Cornelis Escher Born in Leeuwarden, Holland on June 17,1898 Entered secondary school.](https://reader033.fdocuments.net/reader033/viewer/2022042616/56649f165503460f94c2c0e0/html5/thumbnails/23.jpg)
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