Upgrade to Pro — share decks privately, control downloads, hide ads and more …

Mathematics of Art: Escher’s Biography

Avatar for H. Kemal İlter H. Kemal İlter
July 12, 2006
Education
93
0

Mathematics of Art: Escher’s Biography

Avatar for H. Kemal İlter

H. Kemal İlter

July 12, 2006

More Decks by H. Kemal İlter

See All by H. Kemal İlter
Inferences about process quality
Avatar for H. Kemal İlter ilter
0
120
Taxa Scientia 3: Disiplinlerarası bir bilim öyküsü
Avatar for H. Kemal İlter ilter
0
1.1k
SCOM Development of a Multi-layer Ontological Model for Supply Chains
Avatar for H. Kemal İlter ilter
0
180
Tedarik Zincirine İlişkin Kritik Başarı Faktörlerinin İşletme Performansına Etkisi
Avatar for H. Kemal İlter ilter
0
130
6x9=42
Avatar for H. Kemal İlter ilter
0
410
Ontological Modelling of a Paper Recycling Supply Chain
Avatar for H. Kemal İlter ilter
0
86
A stochastic analysis of static complexity
Avatar for H. Kemal İlter ilter
0
110
Ontological Supply Chain Management: Concepts, Applications, Extensions
Avatar for H. Kemal İlter ilter
1
210
I, Cyborg
Avatar for H. Kemal İlter ilter
0
180

Other Decks in Education

See All in Education
Avoin jakaminen ja Creative Commons -lisenssit
Avatar for Matleena Laakso matleenalaakso
0
2.1k
地区危機管理委員会 出前セミナー「ロータリーにおける危機管理」：膳所 和彦 氏（国際ロータリー第2720地区 パストガバナー・日田ロータリークラブ・医療法人恒心会ぜぜ医院 理事長）:2720 Japan O.K. ロータリーEクラブ2026年2月16日卓話
Avatar for 2720 Japan O.K. ロータリーEクラブ 2720japanoke
1
620
勝手にCULTIBASE で広げよう、探究の輪！ - CULTIVAL 2026
Avatar for Hiroshi SAKAI hiroc_sk
1
110
Padlet opetuksessa
Avatar for Matleena Laakso matleenalaakso
12
15k
Fulbright DAI 2025 學人經驗分享
Avatar for Joannie Huang joannie
0
740
Introduction - Lecture 1 - Next Generation User Interfaces (4018166FNR)
Avatar for Beat Signer signer
PRO
2
4.6k
Lenguajes de Programacion (Ingresantes UNI 2026)
Avatar for Abraham Zamudio robintux
0
150
小さなまちで始める デジタル創作の居場所〜すべての子どもが創造的に未来を描ける社会へ〜
Avatar for みんなのコード codeforeveryone
0
390
反応する前に「受容する」力を鍛える。 自分の安全地帯🌱 を育てよう / Cultivating and sharing ventral vagal safety.
Avatar for Aki spring_aki
0
130
Postcards
Avatar for Gabriel Ramírez-Vilchis gabrielramirezv
0
170
Introduction - Lecture 1 - Advanced Topics in Big Data (4023256FNR)
Avatar for Beat Signer signer
PRO
2
2.3k
共感から、つくる: 変わり続ける自分と、誰かのための創造
Avatar for Mick Etoh micknerd
1
300

Featured

See All Featured
Reality Check: Gamification 10 Years Later
Avatar for Sebastian Deterding codingconduct
0
2.1k
The Language of Interfaces
Avatar for Des Traynor destraynor
162
26k
Faster Mobile Websites
Avatar for Dean Hume deanohume
310
31k
Effective software design: The role of men in debugging patriarchy in IT @ Voxxed Days AMS
Avatar for Kenny Baas-Schwegler baasie
0
290
Facilitating Awesome Meetings
Avatar for Lara Hogan lara
57
6.8k
State of Search Keynote: SEO is Dead Long Live SEO
Avatar for Ryan Jones ryanjones
0
170
Speed Design
Avatar for Sergey Chernyshev sergeychernyshev
33
1.6k
Java REST API Framework Comparison - PWX 2021
Avatar for Matt Raible mraible
34
9.2k
Site-Speed That Sticks
Avatar for Harry Roberts csswizardry
13
1.1k
HU Berlin: Industrial-Strength Natural Language Processing with spaCy and Prodigy
Avatar for Ines Montani inesmontani
PRO
0
310
Conquering PDFs: document understanding beyond plain text
Avatar for Ines Montani inesmontani
PRO
4
2.6k
Design in an AI World
Avatar for tapps tapps
0
190

Transcript

  1. Dr. H. Kemal İlter 12 Temmuz 2006 Ankara Sanatsal Matematik:

    Bir Biyografi Maurits Cornelis Escher 1898 - 1972

  2. 2 1916-1921

  3. 3 1922-1935

  4. 4

  5. 5 1936-1942

  6. 6 1943-1949

  7. 7

  8. 8 1950-1959

  9. 9

  10. 10 1960-1969

  11. 11 Düzlemin Düzenli Bölümlendirilmesi (Tesselations)

  12. 12

  13. 13 Polihedra

  14. 14 Platonik Katılar

  15. 15 Yıldızlar

  16. 16 Uzayın Şekli

  17. 17 Hiperbolik Uzay

  18. 18

  19. 19 Topoloji

  20. 20 Tekillik

  21. 21 Uzayın Mantığı – Optik İllüzyon

  22. 22 Perspektif – Projektif Geometri

  23. 23

  24. 24 “İmkansız” Çizimler

  25. 25 Bilgi ve Yapay Zeka Self-Reference

  26. 26 Self-Resemblance

  27. 27 Self-Reflection

  28. 28 Douglas R. Hofstadter, 1979 Gödel, Escher, Bach: An Eternal

    Golden Braid.

  29. 29

  30. Teşekkürler Dr. H. Kemal İlter [email protected] http://www.baskent.edu.tr/~kilter Sanatsal Matematik: Bir

    Biyografi