Geometry

There have been 15 topic suggestions tagged with geometry.

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Continued Fractions and Hyperbolic Geometry

This topic studies the beautiful connection between continued fractions and the famous Farey tessekation of the hyperbolic plane.

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algebra geometry hyperbolic geometry number theory

Geometry and Billiards

The second topic studies which billiard table shapes are optimal.

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classical mechanics differential geometry geometry mechanics physics

Hyperbolic Geometry

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first year friendly geometry

Lattices, Linear Codes, and Invariants

This topic studies sphere packing and the connection to lattices and linear codes.

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algebra coding theory geometry number theory

Low Dimensional Geometry

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geometric topology geometry multivariate calculus topology

Monsky's Theorem

This topic studies the proof of Monsky's theorem that it is not possible to dissect a square into an odd number of triangles of equal area.

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algebra combinatorics geometry

Penrose Tilings

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geometric topology geometry topology

Quivers and Platonic Solids

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algebra combinatorics geometry graph theory linear algebra representation theory

Sphere Packing, Lattices, and Groups

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algebra geometry group theory

The Hyperbolic Crochet Coral Reef

Naturally growing coral and crochet share an interesting trait in common: they help visualize hyperbolic planes. This talk might explore aspects of geometry, art and craft, or biology.

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art biology geometry hyperbolic geometry recreational mathematics

The Mathematics of Gerrymandering

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economics geometry social choice voting theory

The Nine Point Circle

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first year friendly geometry

The Winding Number

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algebra algebraic topology analysis differential geometry geometric topology geometry topology

Tropical geometry and Computational Biology

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of twonumbers is their minimum and the product is their sum. This turnspolynomials into piecewise-linear functions, and their zero sets into polyhedralcomplexes.

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algebra algebraic geometry applied mathematics biology computational biology computer science geometry

What is Area?

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analysis first year friendly geometry measure theory