# Geometry

There have been 15 topic suggestions tagged with geometry.

## Talk Suggestions

### 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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### Geometry and Billiards

The second topic studies which billiard table shapes are optimal.

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### Hyperbolic Geometry

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### Lattices, Linear Codes, and Invariants

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

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### Low Dimensional Geometry

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### 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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### Penrose Tilings

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### Quivers and Platonic Solids

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### Sphere Packing, Lattices, and Groups

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### 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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### The Mathematics of Gerrymandering

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### 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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