Building surfaces from equilateral triangles

Related lectures (30)

Page 2 of 3

Explores holomorphic maps, ramification points, and the genus of a modular curve.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Covers Riemann surfaces as complex manifolds of dimension 1, including transition maps and holomorphic functions.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores remeshing in geometric computing, emphasizing equal edge lengths and valence close to 6.

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.