Building surfaces from equilateral triangles

Related lectures (30)

Page 3 of 3

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Introduces the fundamentals of Euclidean geometry, covering equilateral triangles, symmetries, radical axes, and ancient architectural figures.

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Introduces Vectorworks Educational Version for architectural drawings, covering tools, layers, and annotations.

Covers the Lebesgue integration of simple functions and the approximation of nonnegative functions from below using piecewise constant functions.

Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.