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
0
89

Mathematics of Art: Escher’s Biography

Avatar for H. Kemal İlter

H. Kemal İlter

July 12, 2006
Tweet

More Decks by H. Kemal İlter

See All by H. Kemal İlter
Inferences about process quality
Avatar for H. Kemal İlter ilter
0
97
Taxa Scientia 3: Disiplinlerarası bir bilim öyküsü
Avatar for H. Kemal İlter ilter
0
1k
SCOM Development of a Multi-layer Ontological Model for Supply Chains
Avatar for H. Kemal İlter ilter
0
160
Tedarik Zincirine İlişkin Kritik Başarı Faktörlerinin İşletme Performansına Etkisi
Avatar for H. Kemal İlter ilter
0
110
6x9=42
Avatar for H. Kemal İlter ilter
0
370
Ontological Modelling of a Paper Recycling Supply Chain
Avatar for H. Kemal İlter ilter
0
81
A stochastic analysis of static complexity
Avatar for H. Kemal İlter ilter
0
87
Ontological Supply Chain Management: Concepts, Applications, Extensions
Avatar for H. Kemal İlter ilter
1
200
I, Cyborg
Avatar for H. Kemal İlter ilter
0
170

Other Decks in Education

See All in Education
Data Management and Analytics Specialisation
Avatar for Beat Signer signer
PRO
0
1.4k
登壇未経験者のための登壇戦略～LTは設計が9割！！！～
Avatar for モブエンジニア masakiokuda
3
550
Dashboards - Lecture 11 - Information Visualisation (4019538FNR)
Avatar for Beat Signer signer
PRO
1
2.1k
Education-JAWS #3 ~教育現場に、AWSのチカラを~
Avatar for モブエンジニア masakiokuda
0
180
2025年度春学期　統計学　第2回　統計資料の収集と読み方（講義前配付用） (2025. 4. 17)
Avatar for Akira Asano akiraasano
PRO
0
150
2025.05.10 技術書とVoicyとわたし #RPALT
Avatar for Kaito UDAGAWA kaitou
1
230
2025年度春学期　統計学　第10回　分布の推測とは ー 標本調査，度数分布と確率分布 (2025. 6. 12)
Avatar for Akira Asano akiraasano
PRO
0
150
Virtual and Augmented Reality - Lecture 8 - Next Generation User Interfaces (4018166FNR)
Avatar for Beat Signer signer
PRO
0
1.7k
Gamified Interventions for Composting Behavior: A Case Study Using the Gamiflow Framework in a Workplace Setting
Avatar for Ezequiel dos Santos ezefranca
1
140
Pythonパッケージ管理 [uv] 完全入門
Avatar for MIKIO KUBO mickey_kubo
20
15k
20250625_なんでもCopilot 一年の振り返り
Avatar for ponponmikan ponponmikankan
0
230
2025年度春学期　統計学　第4回　データを「分布」で見る (2025. 5. 1)
Avatar for Akira Asano akiraasano
PRO
0
110

Featured

See All Featured
GraphQLの誤解/rethinking-graphql
Avatar for sonatard sonatard
71
11k
GitHub's CSS Performance
Avatar for Jon Rohan jonrohan
1031
460k
Responsive Adventures: Dirty Tricks From The Dark Corners of Front-End
Avatar for Vitaly Friedman smashingmag
251
21k
For a Future-Friendly Web
Avatar for Brad Frost brad_frost
179
9.8k
The Web Performance Landscape in 2024 [PerfNow 2024]
Avatar for Tammy Everts tammyeverts
8
690
Refactoring Trust on Your Teams (GOTO; Chicago 2020)
Avatar for Rebecca Miller-Webster rmw
34
3.1k
The Art of Programming - Codeland 2020
Avatar for Erika Heidi erikaheidi
54
13k
Making the Leap to Tech Lead
Avatar for Ryan Cromwell cromwellryan
134
9.4k
10 Git Anti Patterns You Should be Aware of
Avatar for Lemi Orhan Ergin lemiorhan
PRO
656
60k
Faster Mobile Websites
Avatar for Dean Hume deanohume
307
31k
Music & Morning Musume
Avatar for Bryan Veloso bryan
46
6.6k
RailsConf & Balkan Ruby 2019: The Past, Present, and Future of Rails at GitHub
Avatar for Eileen M. Uchitelle eileencodes
138
34k

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