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Gyrobifastigium

Index Gyrobifastigium

In geometry, the gyrobifastigium is the 26th Johnson solid (J26). [1]

31 relations: Aperiodic tiling, Bicupola (geometry), Convex set, Cube, Dictionary of Greek and Roman Antiquities, Dual polyhedron, Einstein problem, Face (geometry), Formula, Geometry, Gyroelongated pentagonal rotunda, Hexagonal prism, Honeycomb, Honeycomb (geometry), Isosceles triangle, Johnson solid, Parallelogram, Pentagonal cupola, Regular polygon, Screw axis, Square, Square cupola, Surface area, Trapezoid, Triangle, Triangular cupola, Triangular orthobicupola, Triangular prism, Triangular prismatic honeycomb, Truncated octahedron, Volume.

Aperiodic tiling

An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic patches.

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Bicupola (geometry)

In geometry, a bicupola is a solid formed by connecting two cupolae on their bases.

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Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

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Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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Dictionary of Greek and Roman Antiquities

A Dictionary of Greek and Roman Antiquities is an English language encyclopedia first published in 1842.

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Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

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Einstein problem

In plane geometry, the einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles, that is, a shape that can tessellate space, but only in a nonperiodic way.

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Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

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Formula

In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Gyroelongated pentagonal rotunda

In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids (J25).

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Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

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Honeycomb

A honeycomb is a mass of hexagonal prismatic wax cells built by honey bees in their nests to contain their larvae and stores of honey and pollen.

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Honeycomb (geometry)

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps.

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Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

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Johnson solid

In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.

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Parallelogram

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.

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Pentagonal cupola

In geometry, the pentagonal cupola is one of the Johnson solids (J5).

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Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

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Screw axis

A screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs.

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Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

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Square cupola

In geometry, the square cupola, sometimes called lesser dome, is one of the Johnson solids (J4).

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Surface area

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

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Trapezoid

In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.

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Triangle

A triangle is a polygon with three edges and three vertices.

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Triangular cupola

In geometry, the triangular cupola is one of the Johnson solids (J3).

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Triangular orthobicupola

In geometry, the triangular orthobicupola is one of the Johnson solids (J27).

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Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

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Triangular prismatic honeycomb

The triangular prismatic honeycomb or triangular prismatic cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space.

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Truncated octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

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Redirects here:

Bifastigium, Conway biprism, Digonal gyrobicupola, Digonal orthobicupola, Gyrobifastigium honeycomb, Gyrobifastigiums, SCD prototile, Schmitt biprism, Schmitt-Conway biprism, Schmitt-Conway-Danzer biprism, Schmitt.E2.80.93Conway.E2.80.93Danzer biprism, Schmitt–Conway biprism, Schmitt–Conway–Danzer biprism, Self-dual octahedron.

References

[1] https://en.wikipedia.org/wiki/Gyrobifastigium

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