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The truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges. Download high resolution version (867x773, 50 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
Spinning truncated tetrahedron, made using POV-Ray. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ...
A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. ...
The symmetry group of an object (e. ...
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ...
A triakis tetrahedron is a catalan solid which looks a bit like an overinflated tetrahedron. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. ...
For alternate meanings, such as the musical instrument, see triangle (disambiguation). ...
Canonical coordinate
Canonical coordinates for the vertices of a truncated tetrahedron centered at the origin are (±3, ±1, ±1), (±1, ±3, ±1), (±1, ±1, ±3), where the ± has the same parity for each coordinate, that is, all coordinates have an even number of minuses (or all have an odd number). In physics, the canonical commutation relation is the relation among the position and momentum of a point particle in one dimension, where is the so-called commutator of and , is the imaginary unit and is the reduced Plancks constant. ...
For academic journal, see Tetrahedron A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ...
 Image File history File links Truncated_tetrahedron_flat. ...
A famous depiction of an irregular truncated tetrahedron is in Albrecht Dürer's engraving, "Melencolia I". See illustration at entry Melancholy. Self-Portrait, 1493, Oil on Canvas Albrecht Dürer (May 21, 1471 - April 6, 1528) was a German painter, wood carver, engraver, and mathematician. ...
Melancholia (Greek μελαγχολια) was described as a distinct disease as early as the fifth and fourth centuries BC in the Hippocratic writings. ...
See also An octahedron (plural: octahedra) is a polyhedron with eight faces. ...
For academic journal, see Tetrahedron A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ...
External links - The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
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