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Related lectures (15)
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Geometric Example: Regular Hexagon and Complex Numbers
Explores the geometric properties of a regular hexagon using complex numbers.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Building surfaces from equilateral triangles
Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Metric Spaces and Isometric Embeddings
Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.
Projective Geometry: Anharmonic Cross Ratio and Conics
Explores anharmonic cross ratio, projective geometry birth, and practical applications.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
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Complex Numbers: Polar Form
Covers the polar form of complex numbers and its applications in mathematical calculations.
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Geometric Surfaces: Paraboloids and Hyperboloids in Architecture
Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.
Building Neural Networks: Assembly Strategies
Focuses on assembling neural network building blocks and dealing with data sparseness using various strategies and assumptions.
Concatenation of Arcs in Geometry
Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.
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