HomeEtudes The section contains both entertaining pop-science stories about modern mathematical problems, and animations that reveal well-known subjects in a new way. More etudes — in the Russian version
Drilling square holes Train wheels And this is a net?!Pythagorean Theorem: Euclid's proof Parallelogram The net Plantigrade machine Sphere volume: Archimedes Scales Shukhov Tower Cycloid Circular Reuleaux triangle Cubist parquet Pythagorean theorem: Interactive puzzle Shadows Parabolic antenna Corner reflector Helix Ball volume Angle trisection Axioms With a single cut Stairway to infinity How deep is the underground station Catenary Flexible polyhedra Steering geometry Plane areas Ellipse Rainbow Hinge mechanisms Geometric progression: the chess legend Geometric progression decrease Invisible body Vernier scale Kaleidoscope Translation and rotation Regular polyhedra harmony Pick’s formula Continuity Sandwich problem Snell’s Law Shortest path Inventing the wheel Folded rouble Lipkin linkage Wheelchair Sorting mechanism Amazing volumes of polyhedra Volume increasing Contact number Leaving the plane Nice construction Anti-Durer Screen a ray Piecewise linear embedding of a polyhedron Degrees of freedomArithmetic by MagnitskyComputer engineering in the 1950s
