Concept

Equilateral triangle

Related lectures (28)

Building surfaces from equilateral triangles

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

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

Distance Axioms

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

Geometry of the Triangle

Covers the geometry of the triangle, including inequalities, heights, and centers.

Pythagorean Theorem

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

Triangle Inequality Theorem

Covers the Triangle Inequality Theorem in triangles, showing side length relationships.

Analytical Geometry: Bisectors and Areas

Explores the properties of bisectors and areas in Analytical Geometry.

Geometric Proportions: Euclidean Elements

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

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Complex Polynomials and Factorization

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Triangle Resolution: Trigonometry Basics

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Euclidean Geometry Fundamentals

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

Trigonometric Functions: Right Triangle

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

Remeshing

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

Surface Integrals: Regular Parametrization

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

Fubini Generalized

Explores Fubini's theorem in multiple dimensions, demonstrating integration over rectangles and closed unit balls with practical examples.

Lattice Systems: Resolution and Equilibrium

Covers the construction of lattice models and the resolution of non-triangular systems.

Change of Variables in Double Integrals

Explores changing variables in double integrals through examples and curvilinear coordinates.