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Space diagonal, the Glossary

In geometry, a space diagonal (also interior diagonal or body diagonal) of a polyhedron is a line connecting two vertices that are not on the same face.^[1]

19 relations: Cube, Cuboid, Distance, Edge (geometry), Face (geometry), Face diagonal, Geometry, Golden ratio, Hypotenuse, Magic cube, Magic cube classes, Magic square, Octahedron, Parallelepiped, Polyhedron, Pyramid (geometry), Regular icosahedron, Spacetime, Vertex (geometry).
Magic squares

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces.

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Cuboid

In geometry, a cuboid is a quadrilateral-faced convex hexahedron, a polyhedron with six faces.

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Distance

Distance is a numerical or occasionally qualitative measurement of how far apart objects, points, people, or ideas are.

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Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. Space diagonal and edge (geometry) are Elementary geometry.

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

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Face diagonal

In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron. Space diagonal and face diagonal are Elementary geometry.

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Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

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Golden ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

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Hypotenuse

In geometry, a hypotenuse is the side of a right triangle opposite the right angle.

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Magic cube

In mathematics, a magic cube is the 3-dimensional equivalent of a magic square, that is, a collection of integers arranged in an n × n × n pattern such that the sums of the numbers on each row, on each column, on each pillar and on each of the four main space diagonals are equal, the so-called magic constant of the cube, denoted M3(n). Space diagonal and magic cube are magic squares.

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Magic cube classes

In mathematics, a magic cube of order n is an n\times n \times n grid of natural numbers satisying the property that the numbers in the same row, the same column, the same pillar or the same length-n diagonal add up to the same number. Space diagonal and magic cube classes are magic squares.

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Magic square

In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. Space diagonal and magic square are magic squares.

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Octahedron

In geometry, an octahedron (octahedra or octahedrons) is a polyhedron with eight faces.

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Parallelepiped

In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning).

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Polyhedron

In geometry, a polyhedron (polyhedra or polyhedrons) is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

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Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

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Regular icosahedron

In geometry, the regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of its pentagonal faces, or by putting points onto the cube.

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Spacetime

In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

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Vertex (geometry)

In geometry, a vertex (vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect.

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References

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

Also known as Axial diagonal, Body diagonal, Interior diagonal, Quadragonal, Space diagonals.