Faster access than browser!Similarities between Octahedron and Platonic solid
Octahedron and Platonic solid have 36 things in common (in Unionpedia): Antiprism, Cartesian coordinate system, Coxeter element, Cross-polytope, Cube, Cuboctahedron, Dual polyhedron, Golden ratio, Hypercube, Icosahedron, Icosidodecahedron, Johnson solid, Octahedral symmetry, Orbifold notation, Order (group theory), Polyhedron, Polytope compound, Pyramid (geometry), Radius, Rectification (geometry), Regular Polytopes (book), Role-playing game, Schläfli symbol, Space frame, Sphere, Stellated octahedron, Stellation, Symmetry group, Tesseract, Tetrahedral symmetry, ..., Tetrahedron, Truncated octahedron, Vertex configuration, Volume, Wythoff construction, Wythoff symbol. Expand index (6 more) »
Antiprism
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
Antiprism and Octahedron · Antiprism and Platonic solid ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Octahedron · Cartesian coordinate system and Platonic solid ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Octahedron · Coxeter element and Platonic solid ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
Cross-polytope and Octahedron · Cross-polytope and Platonic solid ·
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.
Cube and Octahedron · Cube and Platonic solid ·
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
Cuboctahedron and Octahedron · Cuboctahedron and Platonic solid ·
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.
Dual polyhedron and Octahedron · Dual polyhedron and Platonic solid ·
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.
Golden ratio and Octahedron · Golden ratio and Platonic solid ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Hypercube and Octahedron · Hypercube and Platonic solid ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Icosahedron and Octahedron · Icosahedron and Platonic solid ·
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
Icosidodecahedron and Octahedron · Icosidodecahedron and Platonic solid ·
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.
Johnson solid and Octahedron · Johnson solid and Platonic solid ·
Octahedral symmetry
A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation.
Octahedral symmetry and Octahedron · Octahedral symmetry and Platonic solid ·
Orbifold notation
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.
Octahedron and Orbifold notation · Orbifold notation and Platonic solid ·
Order (group theory)
In group theory, a branch of mathematics, the term order is used in two unrelated senses.
Octahedron and Order (group theory) · Order (group theory) and Platonic solid ·
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Octahedron and Polyhedron · Platonic solid and Polyhedron ·
Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
Octahedron and Polytope compound · Platonic solid and Polytope compound ·
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
Octahedron and Pyramid (geometry) · Platonic solid and Pyramid (geometry) ·
Radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Octahedron and Radius · Platonic solid and Radius ·
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
Octahedron and Rectification (geometry) · Platonic solid and Rectification (geometry) ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Octahedron and Regular Polytopes (book) · Platonic solid and Regular Polytopes (book) ·
Role-playing game
A role-playing game (sometimes spelled roleplaying game and abbreviated to RPG) is a game in which players assume the roles of characters in a fictional setting.
Octahedron and Role-playing game · Platonic solid and Role-playing game ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Octahedron and Schläfli symbol · Platonic solid and Schläfli symbol ·
Space frame
In architecture and structural engineering, a space frame or space structure is a rigid, lightweight, truss-like structure constructed from interlocking struts in a geometric pattern.
Octahedron and Space frame · Platonic solid and Space frame ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
Octahedron and Sphere · Platonic solid and Sphere ·
Stellated octahedron
The stellated octahedron is the only stellation of the octahedron.
Octahedron and Stellated octahedron · Platonic solid and Stellated octahedron ·
Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
Octahedron and Stellation · Platonic solid and Stellation ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Octahedron and Symmetry group · Platonic solid and Symmetry group ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
Octahedron and Tesseract · Platonic solid and Tesseract ·
Tetrahedral symmetry
A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.
Octahedron and Tetrahedral symmetry · Platonic solid and Tetrahedral symmetry ·
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Octahedron and Tetrahedron · Platonic solid and Tetrahedron ·
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
Octahedron and Truncated octahedron · Platonic solid and Truncated octahedron ·
Vertex configuration
In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.
Octahedron and Vertex configuration · Platonic solid and Vertex configuration ·
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.
Octahedron and Volume · Platonic solid and Volume ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Octahedron and Wythoff construction · Platonic solid and Wythoff construction ·
Wythoff symbol
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.
Octahedron and Wythoff symbol · Platonic solid and Wythoff symbol ·
The list above answers the following questions
- What Octahedron and Platonic solid have in common
- What are the similarities between Octahedron and Platonic solid
Octahedron and Platonic solid Comparison
Octahedron has 105 relations, while Platonic solid has 190. As they have in common 36, the Jaccard index is 12.20% = 36 / (105 + 190).
References
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