Geometry around us
Instructor: Anna Felikson
Autumn 2025: The notes (hand-written notes in Russian):
- 1. Goat, grass and cabbage: Notes and Turkish Lullaby (3-minutes long cartoon).
- 2. Where to dig a well?: Notes and Combodian Lullaby.
- 3. Illumination Problem: Notes and Lithuanian Lullaby.
- 4. Four Colour Theorem: Notes and Jewish Lullaby.
- 5. Shadows: Notes and Lullaby of Argentina.
- 6. Oranges: Notes and Polish Lullaby.
- 7. Seven Bridges of Königsberg: Notes and Japanese Lullaby.
Resources:
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1: Kempe's Universality Theorem:
- "Linkage that signs your name" by Yang Liu. .
- "Kempe's Universality Theorem" explained by Erik Demaine.
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2: Geometric loci:
- Geometric Loci by A. Savin, Kvant magazine, 1995 (in Russian).
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3: Illumination problem:
- The Illumination Problem - Numberphile video with Howard Masur.
- Illuminating a plane by projectors by V. Galperin and G. Galperin, Kvant magazine, 1995 (in Russian).
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4: Four Colour Problem:
- p.290-291 in "What is Mathematics?" by R.Courant and H.Robbins (Russian translation). .
- Chapter 43 in "Mathematical Puzzles and Diversions" by Martin Gardner (Russian translation).
- 5: Shadows:
- How to make a cardboard sundial - instruction, by Inna Pishkina (in Russian).
- 6: Oranges: 7: Seven bridges of Königsberg:
- The seven bridges of Königsberg - Numberphile video with Cliff Stoll.
- Genome reconstruction by Ph. Compeau and P.Pevzner, Kvant magazine, 2014 (in Russian).
Geometry textbook:
- Geometry textbook by O. V. Pogorelov: in Ukranian and in Russian.