Johnson solids

Parabigyrate rhombicosidodecahedron

In geometry, the parabigyrate rhombicosidodecahedron is one of the Johnson solids (J73). It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae rotated through 36 degrees. It is also a canonical polyhedron. A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966. Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: * The gyrate rhombicosidodecahedron (J72) where only one cupola is rotated; * The metabigyrate rhombicosidodecahedron (J74) where two non-opposing cupolae are rotated; * And the trigyrate rhombicosidodecahedron (J75) where three cupolae are rotated. (Wikipedia).

Parabigyrate rhombicosidodecahedron
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Using the pythagorean theorem to a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

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What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry

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From playlist Summer of Math Exposition 2 videos

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Great Rhombicosidodecahedron

Palm Springs Art Museum

From playlist Differential Equations

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Pythagorean Theorem

This geometry video tutorial provides a basic introduction into the pythagorean theorem. It explains how to use it to find missing sides and solve for x. In addition, it provides examples of solving word problems using pythagorean theorem for shapes such as right triangles, squares, rhom

From playlist Geometry Video Playlist

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Parabolas 11 Algebra Regents

In this video we review the basic components of a parabola

From playlist Parabolas

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How to determine the domain and range and graph

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab

From playlist Find the Parts of a Parabola

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Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Using the vertex determine the domain and range of a parabola

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab

From playlist Find the Parts of a Parabola

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Determine the vertex and domain and range of a function

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab

From playlist Find the Parts of a Parabola

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Hyperbolic Geometry is Projective Relativistic Geometry (full lecture)

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From playlist MathSeminars

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Class 5: Tessellations & Modulars

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces more examples of origami models that use a variety of techniques and media. At the end of the session, the c

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Parabolas 5 Algebra Regents

In this video we review the basic components of a parabola

From playlist Parabolas

Related pages

Degree (angle) | Metabigyrate rhombicosidodecahedron | Pentagon | Trigyrate rhombicosidodecahedron | Convex polytope | Pentagonal cupola | Geometry | Johnson solid | Triangle | Gyrate rhombicosidodecahedron | Rhombicosidodecahedron | Midsphere