Oriented matroids | Zonohedra | Polyhedra

Zonohedron

In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric (a zonogon). Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as the three-dimensional projection of a hypercube. Zonohedra were originally defined and studied by E. S. Fedorov, a Russian crystallographer. More generally, in any dimension, the Minkowski sum of line segments forms a polytope known as a zonotope. (Wikipedia).

Zonohedron
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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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Sketch a net from a 3D figure

👉 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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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

👉 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 the difference between convex and concave

👉 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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Zinnia Kinetic Sculpture

The Zinnia, a wooden kinetic sculpture designed by Clayton Boyer, built by Joe Stubler. Plans available at http://www.lisaboyer.com/Claytonsite/Claytonsite1.htm

From playlist Kinetic Sculpture

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What are four types of polygons

👉 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 are the names of different types of polygons based on the number of sides

👉 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 polygon and what is a non example of a one

👉 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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DIY tiny home you can build in weeks | Hard Reset

Inside a “Zome”: A DIY tiny home made of carbon-negative cement you can build in weeks. Subscribe to Freethink on YouTube ► https://freeth.ink/youtube-subscribe Up next, This carbon-negative dream house ships in a box ► https://youtu.be/_P3lmp1KVOY There's no shortage of problems associ

From playlist Freethink: Hard Reset

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Polytope | Rhombicuboctahedron | Truncated rhombic dodecahedron | Truncated cuboctahedron | Crystallography | Lattice (group) | Hilbert's third problem | Planar graph | Sylvester–Gallai theorem | Rhombic triacontahedron | Hypercube | Octagonal prism | Rhombic icosahedron | Minkowski addition | Rhombic enneacontahedron | Archimedean solid | Icosidodecahedron | Parallelohedron | Gauss map | Truncated octahedron | Truncated icosidodecahedron | Dodecahedron | Voronoi diagram | Matroid | Rhombic hectotriadiohedron | Honeycomb (geometry) | Simple polytope | Great circle | Tesseract | Bilinski dodecahedron | Icosahedron | Convex polytope | Line segment | Parallelogram | Prism (geometry) | Rhombic dodecahedral honeycomb | Permutohedron | Rhombic dodecahedron | Cube | Rhombohedron | Polygon | Parallelepiped | Hexagonal prism | Cuboctahedron | Oriented matroid | Bitruncated cubic honeycomb | Decagonal prism | Convex uniform honeycomb | Uniform polyhedron | Homography | Projection (mathematics) | Zonogon | Regular matroid | Projective plane | Dodecagonal prism | Geometry | Octahedron | Regular polygon | Arrangement of lines | Cubic honeycomb | Catalan solid