Music of the Spheres: Resources by Anna Felikson
This page contains some additional links for my talk "Music of the Spheres" delivered at Art and Math Seminar, Kansas State University on February 27th, 2025.Here is video of the talk (1 hour) and slides.
Resources:
Hyperbolic tilings of images:
- Make hyperbolic tilings of images, applet by Main Christersson.
Tonnetz:
- The tonnetz, applet by Moreno Andreatta and Corentin Guichaoua.
- Fano Rainbow, 1-minute video; Chord progression: Konstanze Rietsch, Music: Elaine Chew, Graphics: Juliette Majid.
- Konstanze Rietsch, Generalisations of Euler's Tonnetz on triangulated surfaces.
Dobble:
- Tom Ducat, The mathematics of Dobble, slides.
Music:
- Mozart Kanon "der Spiegel" , video by MARIANIMUSIK.
- J.S.Bach- Crab Canon on a Möbius Strip, video by Jos Leys.
- Music on a Clear Möbius Strip, Numberphile video on JS Bach - by Marcus Du Sautoy.
Ptolemy, Farey, Descartes, Soddy-Gosset:
- Ptolemy theorem: proof without words, my favorite proof of the theorem and the same proof on the cut-the-knot portal by A. Bogomolny.
- Soddy-Gossets poem, The Kiss Precise (Soddy-Gosset generalisation of Descartes Circle Theorem), together with my translation of the poem to Russian.
- I. Short, M. Van Son, A.Zabolotskii, Frieze patterns and Farey complexes
- A. Felikson, O. Karpenkov, K. Serhiyenko, P. Tumarkin, 3D Farey graph, lambda lengths and SL2-tilings
Japanese Temple Geometry:
- Fukagawa Hidetoshi, Tony Rothman Japanese Temple Geometry, book.
- Fukagawa Hidetoshi, Tony Rothman Japanese Temple Geometry, article, 8 pages.
- Hiroshi Kotera collected several hundred of images, of sangaku tables - out of about 820 that survived (click on hieroglyphs to see the pictures!).
- Facebook page with many sangaku problems, (in Japanese?)