Polyhedra

Tetradecahedron

A tetradecahedron is a polyhedron with 14 faces. There are numerous topologically distinct forms of a tetradecahedron, with many constructible entirely with regular polygon faces. A tetradecahedron is sometimes called a tetrakaidecahedron. No difference in meaning is ascribed. The Greek word kai means 'and'. There is evidence that mammalian epidermal cells are shaped like flattened tetrakaidecahedra, an idea first suggested by Lord Kelvin. The polyhedron can also be found in soap bubbles and in sintered ceramics, due to its ability to tesselate in 3D space. (Wikipedia).

Tetradecahedron
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How to construct a Tetrahedron

How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th

From playlist Platonic Solids

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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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Cardboard Tetrahedron Pyramid Perfect Circle Solar How to make a pyramid out of cardboard

How to make a pyramid out of cardboard. A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex.

From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS

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Unique way to divide a tetrahedron in half

This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.

From playlist Platonic Solids

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Complete Explanation for Volume of a Tetrahedron

In this video we derive the volume of a tetrahedron with the help of Euclid.

From playlist Platonic Solids

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The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger

We look at the geometry of the regular tetrahedron, from the point of view of rational trigonometry. In particular we re-evaluate an important angle for chemists formed by the bonds in a methane molecule, and obtain an interesting rational spread instead. Video Content: 00:00 Introduction

From playlist Universal Hyperbolic Geometry

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Can you prove this 2000 year old textbook problem?

Proving the tetrahedron consists of 4 equilateral triangles. This has been submitted into the 3blue1brown video competition. https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry https://www.amazon.com/dp/B093D22DGN https://books.apple.com/us/book/euclids-elements-

From playlist Platonic Solids

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d4 truncated tetrahedron

See http://thedicelab.com/ for more details. These dice are available at http://www.mathartfun.com/shopsite_sc/store/html/DiceLabDice.html

From playlist Dice

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Eleftherios Pavlides - Tetradecahedron as Palimpsest of the Monododecahedral 1- G4G14 Apr 2022

Tetradecahedron as Palimpsest of the Monododecahedral 1-Parameter Family of the Polymorphic Elastegrity Subtitle: Making Paper Bubbles The polymorphic elastegrity was discovered in 1982 through paper folding and weaving in response to two basic design exercises given in 1971 and 1972 at

From playlist G4G14 Videos

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Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

Related pages

Császár polyhedron | Hexagon | Weaire–Phelan structure | Dodecagon | Metabiaugmented hexagonal prism | Face (geometry) | Hexagonal antiprism | Pentagon | Archimedean solid | Truncated octahedron | Johnson solid | Flexible polyhedron | Trapezoid | Pyramid (geometry) | Honeycomb (geometry) | Heptagonal bipyramid | Bilunabirotunda | Prism (geometry) | Permutohedron | Polyhedron | Truncated cube | Cuboctahedron | Tridecagon | Sphenocorona | Kite (geometry) | Octagon | Steffen's polyhedron | Triaugmented triangular prism | Heptagonal trapezohedron | Augmented truncated tetrahedron | Elongated triangular cupola | Dodecagonal prism | Hexagonal bifrustum | Parabiaugmented hexagonal prism | Regular polygon | Antiprism | Trapezohedron | Grand antiprism | Triangular orthobicupola