Geometry around us

Instructor: Anna Felikson

The notes (hand-written notes in Russian) will appear here:

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.

The videos above are cartoons from the series "Lullabies of the world".

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:
- 3 minutes video with Maryna Viazovska (2022 Fields Medal) (in English).
- 5 minutes video by Evgeny Smirnov - on oranges, sphere packings and codings (in Russian).
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