Summer 2022: The notes (hand-written notes in Russian):

• 0: Intro (Durer's "Melencolia").
• 1: Symmetry.
• 2: Volume and Dimension.
• 2': More on volume and dimension.
• 3: Tilings on the plane.
• 4: Fractals (and other games with dimension).
• 5: Crystallograpy.
• 6: Projective Geometry.
• 7: Hyperbolic Geometry.
• 8: Regular polyhedra.
• 9: Golden Ratio.

Resources:

• Albrecht Durer: online collection, The Metropolitan Museum of Art.

• Maurits Cornelis Escher: M.C.Escher collection, official website.
• Edward Burne-Jones: online collection, The Metropolitan Museum of Art.
• Islamic ornaments: online collection, The Metropolitan Museum of Art.

• Pablo Picasso: online collection, The Metropolitan Museum of Art.
• Salvador Dali: online collection, The Metropolitan Museum of Art.
• Paul Cezanne: online collection, The Metropolitan Museum of Art.
• Paul Klee: online collection, The Metropolitan Museum of Art.

• Tilework in the Alhambra.
• The Alhambra and The Alcazar by Anneke Bart and Bryan Clair.
• Alexander Aksinin: Graphics.

• Katsushika Hokusai: online collection, The Metropolitan Museum of Art.
• Jackson Pollock: online collection, The Metropolitan Museum of Art.
• Mikalojus Konstantinas Ciurlionis: online collection of paintings and music, website by Osvaldas Grigas.

• Mikhail Vrubel: Paintings and more.
• Mathew Wong: some works at artpro.
• Quilts: online collection, The Metropolitan Museum of Art.

• Sonia Delaunay: online collection, The Metropolitan Museum of Art.
• El Greco: online collection, The Metropolitan Museum of Art.

• Antoni Gaudi: collection.
• Vincent van Gogh: online collection, The Metropolitan Museum of Art.
• Paul Nylander: hyperbolic artwork.

• Wenzel Jamnitzer: online collection, The Metropolitan Museum of Art.
• George W. Hart: Geometric sculpture, Polyhedra and Art, Mathematically correct breakfast I.

• Scott Kim: Ambigrams. Video, 39 min: what are ambigrapms and how to make them.
• Dave Benson: Music: a Mathematical Offering, see Chapter 9: "Symmetry in Music", p.310.
• Der Spiegel Duet, (Attributed to Mozart), on MARIANIMUSIC.

Mathematical Etudes:

• Mathematical Etudes website with lots of fun and beutiful mathematics (all materials in English, French, Intalian and Russian). Created by the Laboratory of Popularization and Propaganda of Mathematics at Steklov Mathematical Institute of Russian Academy of Sciences, head of the laboratory Nickolay Andreev.

Short videos:

• Animation demonstrating Inversion in circles, by Malin Christersson.
• Illuminating hyperbolic geometry, Video (4:25 min) by Henry Segerman and Saul Schleimer. .
• Spherical Droste video, Short video (1:56 min) by Henry Segerman. (You can move the frame while viewing).
• Dancing circles. Hyperbolic tilings dancing to music from Tchaikovsky's ballet ``The Nutcracker''. By Jos Leys.

Software:

• Applet to construct Hyperbolic Tilings by Malin Christersson.

Films:

• Not Knot, a short film on Thurston's Geometrization Conjecture, by the Geometry Centre in U. of Minnesota.
• Jos Leys, Etienne Ghys, Aurelien Alvarez, Dimensions (9 short films exploring geometry in various spaces).