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Hyperbolic geometry - Wikipedia, the free encyclopedia

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Upper half plane model is another standard model of the hyperbolic geometry. Geodesics are half circles orthogonal to the horizontal axis. The model is also conformal.

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Margaret Wertheim- The beautiful math of coral. Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician — celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying coral creation.

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What is Geometry? Learn more about the background behind why Geometry is important and what means including Euclidean Geometry, Hyperbolic Geometry, Elliptic Geometry, Affine Geometry and Project Geometry. Photo by pd4pic.

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The Poincaré disk is a model for hyperbolic geometry in which a line is represented as an arc of a circle whose ends are perpendicular to the disk's boundary (and diameters are also permitted). Two arcs which do not meet correspond to parallel rays, arcs which meet orthogonally correspond to perpendicular lines, and arcs which meet on the boundary are a pair of limits rays.

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A pinner asked and the original artist has provided!-" hyperbolic geometry through crochet" yes there are patterns and even a book. Check related pins! Glad you asked!

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Hyperbolic Geometry Artwork

The Institute For Figuring is an organization dedicated to the poetic and aesthetic dimensions of science, mathematics and the technical arts. The Institute’s interests are twofold: the manifestation of figures in the world around us and the figurative technologies that humans have developed through the ages. From the physics of snowflakes and the hyperbolic geometry of sea slugs, to the mathematics of paper folding, the tiling patterns of Islamic mosaics and graphical models of the human…

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