Star polygons

Star polygon

In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations on regular simple and star polygons. Branko Grünbaum identified two primary definitions used by Johannes Kepler, one being the regular star polygons with intersecting edges that don't generate new vertices, and the second being simple isotoxal concave polygons. The first usage is included in polygrams which includes polygons like the pentagram but also compound figures like the hexagram. One definition of a star polygon, used in turtle graphics, is a polygon having 2 or more turns (turning number and density), like in spirolaterals. (Wikipedia).

Star polygon
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Foldable Polyhedron 2

Delta-Star is a polyhedral object which I invented in 1996. The type of Delta-Star corresponds to Deltahedrons. It expands and shrinks.

From playlist Handmade geometric toys

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👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Sketch a figure from a net

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is a concave polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Foldable Polyhedron 1

Delta-Star is a polyhedral object which I invented in 1996. The type of Delta-Star corresponds to Deltahedrons. It expands and shrinks. Especially highly symmetric tetrahedron,octahedron,icosahedron types and hexahedron,decahedron types can transform smoothly.

From playlist Handmade geometric toys

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What is the difference between a regular and irregular polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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From playlist Behind the Scenes in Real-Life Software Design

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Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021

A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n

From playlist Celebration of Mind 2021

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This Coding Challenge is a follow up on the challenge #54.1: Islamic Star Patterns. In this video, I use the Law of Sines to simplify the tiling pattern calculation. In honor of my 200,000th subscriber I am donating $200 to each of the 4 charities mentioned below. Thanks to all of you for

From playlist Coding Challenges

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Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Inner and outer billiards in symplectic spaces Speaker: Sergei Tabachnikov Affiliation: Pennsylvania State University Date: May 02, 2022 I shall present two billiard-like systems associated with a convex hypersurface in a

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!!Con 2017: Islamic Geometry: Hankin’s Polygons in Contact Algorithm!!! by Yomna Nasser

Islamic Geometry: Hankin’s Polygons in Contact Algorithm!!! by Yomna Nasser In this talk we will go over Hankin’s “Polygons in Contact” algorithm, a technique for generating common patterns encountered in Islamic geometry, and some variations on it. There will be an introduction to tiling

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From playlist Classify Polygons

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From playlist Integrable Probability Working Group

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