Uniform polyhedra

Hemipolyhedron

In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These "hemi" faces lie parallel to the faces of some other symmetrical polyhedron, and their count is half the number of faces of that other polyhedron – hence the "hemi" prefix. The prefix "hemi" is also used to refer to certain projective polyhedra, such as the hemi-cube, which are the image of a 2 to 1 map of a spherical polyhedron with central symmetry. (Wikipedia).

Hemipolyhedron
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The remarkable Platonic solids I | Universal Hyperbolic Geometry 47 | NJ Wildberger

The Platonic solids have fascinated mankind for thousands of years. These regular solids embody some kind of fundamental symmetry and their analogues in the hyperbolic setting will open up a whole new domain of discourse. Here we give an introduction to these fascinating objects: the tetra

From playlist Universal Hyperbolic Geometry

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What is a rectangular prism

πŸ‘‰ Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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What Are Allotropes of Metalloids and Metals | Properties of Matter | Chemistry | FuseSchool

What Are Allotropes of Metalloids and Metals Learn the basics about allotropes of metalloids and metals, as a part of the overall properties of matter topic. An allotrope is basically a different form of the same element, each with distinct physical and chemical properties. For example

From playlist CHEMISTRY

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Learning to find the surface area of a rectangular prism

πŸ‘‰ Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

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Finding the volume and surface area of a rectangular prism

πŸ‘‰ Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

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How to find the volume or a triangular prism

πŸ‘‰ Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

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How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

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What is a concave polygon

πŸ‘‰ 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 net from a 3D figure

πŸ‘‰ 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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