Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branch
A European and an Arab practicing geometry in the 15th century
Woman teaching geometry. Illustration at the beginning of a medieval translation of Euclid's Elements, c. 1310.
Visual checking of the Pythagorean theorem for the (3, 4, 5) triangle as in the Zhoubi Suanjing 500–200 BC. The Pythagorean theorem is a consequence of the Euclidean metric.
Quintic Calabi–Yau threefold
In mathematics, hyperbolic geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:
A collection of crocheted hyperbolic planes, in imitation of a coral reef, by Institute For Figuring
The "hyperbolic soccerball", a paper model which approximates (part of) the hyperbolic plane as a truncated icosahedron approximates the sphere.