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Dimensions is a French project that makes educational movies about mathematics, focusing on spatial geometry. [1] It uses POV-Ray to render some of the animations, and the films are released under a Creative Commons licence. The fourth chapter, showing the stereographic projection of a polychoron on our three-dimensional space.
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A ball in n dimensions is called a hyperball or n-ball and is bounded by a hypersphere or (n−1)-sphere. Thus, ... Mathematics Magazine. 62 (2): 101–107.
In mathematics, a unit sphere is a sphere of unit radius: the set of points at Euclidean distance 1 from some center point in three-dimensional space. More generally, the unit n {\displaystyle n} -sphere is an n {\displaystyle n} -sphere of unit radius in ( n + 1 ) {\displaystyle (n+1)} - dimensional Euclidean space ; the unit circle is a ...
A cross-section view of a compression seal. In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces.
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.The distance between any point of the circle and the centre is called the radius.
In mathematics real is used as an adjective, meaning that the underlying field is the field of the real numbers (or the real field). For example, real matrix, real polynomial and real Lie algebra. The word is also used as a noun, meaning a real number (as in "the set of all reals").
The Texans blew a 16-point halftime lead to the Lions on "Sunday Night Football" in Week 10. C.J. Stroud said the offense was to blame for the defeat.