Lectures related to Möbius plane

Explores Cartesian equations of planes in space and their applications to metric problems.

Covers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.

Explores the intersection of a line and an opaque plate using GeoGebra.

Covers the calculation of scalar products in coordinates and extends the concept to three-dimensional space.

Explores normal equations of lines in the plane through point translation for precision.

Explores vector equations for lines in the plane and the concept of 'observation points'.

Explores Schottky groups, spectral gaps, and the Fractal Uncertainty Principle.

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.

Explores the geometry of the plane and complex numbers in R².

Covers the parametrization of straight lines and their geometric interpretation.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Covers the examination of 10 possible isometries in space.

Examines the synthesis of isometry in space and its differences with the plane.

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Explores lines of slope in descriptive geometry, analyzing their properties and relationships within a plane through sketches and examples.

Analyzes plasma instabilities through case studies, exploring the implications of roots in the complex plane.

Explores the change of variables theorem and examples of polar coordinates.

Covers the concept of infinitesimal area slice dA and the integration process for calculating areas of regions.

Covers Cartesian equations of lines in the plane with direction vectors multiples of (-2).

Explores how pole positions in a complex plane influence system responses.