Geometric Orchestra
Conductor: Anna FeliksonSpring 2025: The notes from rehersals (hand-written notes in Russian):
- 1. Numerology of 2025 (triangle and square numbers)
- 2. Chromatic number of the plane
- 3. On Kangaroo... (Chromatic number of the circle)
- 4. Pell's equation
- 5. Markov's triples
- 6. Markov's tree (and other trees and numbers)
- 7. Hyperbolic geometry: lines
- 8. Hyperbolic geometry: isometries and triangles
Resources:
- 1. 343867 and Tetrahedral Numbers Numberphile video with James Grime
- 2. Chromatic numbers Andrey Raygorodsky (Notes of Lecture for school students, in Russian)
- 3. Kangaroo Question (a poem by myself, in Russian)
- 4. V. Bugaenko Pell's Equations (notes of 2 lectures for high school students, in Russian)
- 4'. V. Senderov, A. Spivak Pell's Equations - and part 2 and part 3 by A. Spivak (articles in "Kvant Journal", 2002, in Russian).
- 5. M. G. Krein, Markov's Equation (article in "Kvant Journal", 1985, in Russian).
- 8. Tilings by (and after) Escher. Webpage on Mathematical Imagery by Jos Leys.
Standard Geometry Textbook:
- Geometry textbook by O. V. Pogorelov: in Ukranian and in Russian.
Links to 2022-24 pages:
Japanese Temple Geometry
Geometry Around us
How to Solve it - and - Geometry in Figures
Mathematics and Art
Japanese Temple Geometry
Geometry Around us
How to Solve it - and - Geometry in Figures
Mathematics and Art
The webpage uses the following paintings:
Left: Georges Braques, "Musical Forms", 1918.
Right: Pablo Picasso, "Guitar", 1913.
Left: Georges Braques, "Musical Forms", 1918.
Right: Pablo Picasso, "Guitar", 1913.