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.
• 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".

Resources:

• 1: Kempe's Universality Theorem:
  • "Linkage that signs your name" by Yang Liu. .
  • "Kempe's Universality Theorem" explained by Erik Demaine.
• 2: Geometric loci:
  • Geometric Loci by A. Savin, Kvant magazine, 1995 (in Russian).
• 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).
• 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).
• 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).
• 8: Sandwich Theorem:
  • Ham Sandwich Problem - Numberphile video with Hannah Fry.
• 9: Paper Snowflakes:
  • Snowflakes by Jane Kac.
  • Mobius hearts by Jane Kac.
  • Fractal Christmas Tree by Jane Kac.
  Mobius Strips (An Unexpected Twist) - Numberphile video with Ben Spark.
  • 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