Geometry around us
Instructor: Anna Felikson
The notes (hand-written notes in Russian) will appear here:
Resources:
- 1. Isoperimetric Problem:
- Dido and Isoperimetric Problem, by I.Sharigin (in Russian).
- 2. Map Projections:
- Mercator Projection, by Andrey Shetnikov (in Russian).
- 2. Braids:
- Braids and Knots, by Alexei Sossinsky (in Russian).
The notes (hand-written notes in Russian) from Autumn 2022:
- 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.
- 8. Sandwich Theorem: Notes and French Lullaby.
- 9. Paper Snowflakes: Notes and Lullaby of Switzerland.
Resources:
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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:
-
9: Paper Snowflakes:
- Snowflakes by Jane Kac.
- Mobius hearts by Jane Kac.
- Fractal Christmas Tree by Jane Kac.
- Mathematics with Scissors by Jane Kac (Video in Russian).
- "In one cut" a short article from journal "Kvantik", by Kseniya Pahomova (in Russian).
- A lecture on "Fold and one cut Theorem" by Erik Demaine
Geometry textbook:
- Geometry textbook by O. V. Pogorelov: in Ukranian and in Russian.