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Regular polygon. In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew.
A polygram is like a polygon but the sides are allowed to cross. A polygram of n-sides or vertices is called an n-gram and for particular values of n we can give them individual names as for polygons. However there is no such thing as a 'trigram', since three successive line segments cannot cross anywhere; the first case is a tetragram ...
- mathworld.wolfram.com
- Geometry
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Apr 25, 2024 · A polygon can be defined (as illustrated above) as a geometric object "consisting of a number of points (called vertices) and an equal number of line segments (called sides), namely a cyclically ordered set of points in a plane, with no three successive points collinear, together with the line segments joining consecutive pairs of the points.
Polygram: from the Greek poly "several" and gramma "letter, writing". A linked polygram is a knot or link obtained by the interlacing of a polygram , and deciding, each time two sides cross, which side passes above the other. There are two remarkable ways to interlace a polygram with Schläfli symbol {p/q}, with p > 2 q:
Jimmy Ahuja. 76 subscribers. Subscribed. 9. 682 views 2 years ago #TheProblemSolver #Polygram. Have you ever thought that there is a more general name for even a polygon? What will be the...
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Apr 25, 2024 · Solid Geometry. Polyhedra. Prisms. Polygrammic Prism. Download Wolfram Notebook. A polygrammic prism is a prism formed by two regular polygrams offset along their symmetry axis and with corresponding edges connected by lateral faces. The hexagrammic prism and octagrammic prism are illustrated above. See also.
E-320: Teaching Math with a Historical Perspective Oliver Knill, Spring 2021 Lecture 1: Polygons and Polygrams In the rst week lecture we discuss a topic which has cultural historical and artistic connections.