4-polytopes

Cuboctahedral pyramid

In 4-dimensional geometry, the cuboctahedral pyramid is bounded by one cuboctahedron on the base, 6 square pyramid, and 8 triangular pyramid cells which meet at the apex. It has 38 faces: 32 triangles and 6 squares. It has 32 edges, and 13 vertices. Since a cuboctahedron's circumradius is equal to its edge length, the triangles must be taller than equilateral to create a positive height. The dual to the cuboctahedral pyramid is a rhombic dodecahedral pyramid, seen as a rhombic dodecahedral base, and 12 rhombic pyramids meeting at an apex. (Wikipedia).

Cuboctahedral pyramid
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Cuboctahedral Fractal Graph

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/17d5

From playlist 3D printing

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How to find the volume of a pentagonal pyramid

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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Henry Segerman - Geared Mechanisms - G4G14 Apr 2022

We will present various 3D printed geared mechanisms. Two of these are octahedral and cuboctahedral variants of Buckminster Fuller's Jitterbug mechanism. Here the gears help stabilize the mechanism and prevent jamming. In the cuboctahedral case, the added gears rotate non-linearly, so requ

From playlist G4G14 Videos

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How to find the surface area of a 3D pyramid

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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Finding the volume and surface area of a pyramid with a rectangular base

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

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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Geared Cuboctahedral Jitterbug

3d print available at http://shpws.me/R8NY. This variant jitterbug mechanism is based on the cuboctahedron, expanding to become a rhombicuboctahedron. For this mechanism the rotation rates of the triangular and square parts are not linearly related to each other. This means that our gear

From playlist 3D printing

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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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How to find the volume of an oblique pyramid

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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how to determine the surface area of a square pyramid

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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Learn how to determine the surface area of a triangular pyramid

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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Virtual Egypt 4K: What Did the Pyramids Look Like?

What did the Pyramids of Egypt look like 4500 years ago? In this video we take a tour of the Giza Plateau and the Pyramids in a way you've never seen before. Subtitles available in several languages. Ve el vídeo en español: https://youtu.be/VAM7IswKF8Y Like and subscribe to see more vide

From playlist Vídeos

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Terrifying Truths About the Pyramids

Enter the code INTERNXT30 to get 30% OFF on all plans. https://internxt.sjv.io/LXaNKY You likely see the Egyptian Pyramids when we discuss pyramids, as does everyone else. The great pyramid of Giza is still a structure on which obituaries are inscribed. But, that doesn't justify overshad

From playlist Iconic Builds

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Egipto Virtual 4K: ¿Cómo eran las pirámides de Guiza?

¿Cómo se veían las pirámides de Egipto hace 4500 años? En este vídeo hacemos un recorrido por la meseta de Giza y las pirámides como nunca antes las habías visto. Dale like y suscríbete para ver más vídeos como este. Subtitles available in several languages. Watch in English: https://you

From playlist Egipto

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The Age of the Pyramid Builders

Get your free trial of MagellanTV here: https://try.magellantv.com/historyguy/. It's an exclusive offer for our viewers: an extended, month-long trial, FREE. MagellanTV is a new kind of streaming service run by filmmakers with 2,000+ documentaries! Check out our personal recommendation and

From playlist History without War

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Surface Area of a Pyramid & Volume of Square Pyramids & Triangular Pyramids

This basic geometry video tutorial explains how to find the volume and surface area of a pyramid - specifically a square pyramid and a triangular pyramid. This video also provides the formula needed to calculate the lateral area of a square pyramid and a triangular pyramid. This video co

From playlist Pre-Algebra Video Playlist

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Explore Egypt's Great Pyramid | Wondrium Perspectives

Did you know that the Great Pyramid of Giza is the last of the Seven Wonders that still stands? Built over 4,000 years ago under the orders of the Egyptian king Khufu, it attracts tourists from all around the world and contains mysteries that scholars are still trying to solve. In this

From playlist Wondrium Perspectives

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Learn how to determine the surface area of a triangular prism

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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nets of pyramids (KristaKingMath)

â–º My Geometry course: https://www.kristakingmath.com/geometry-course In this video we'll learn how to draw the nets of pyramids, including a square pyramid, a triangular pyramid, and a pentagonal pyramid. A net is just the shape of the two-dimensional piece of paper that can be folded int

From playlist Geometry

Related pages

Schlegel diagram | Convex polytope | Schläfli symbol | Square | Coxeter group | Geometry | Cuboctahedron | Square pyramid