Similarities between Octahedron and Regular icosahedron
Octahedron and Regular icosahedron have 37 things in common (in Unionpedia): Antiprism, Buckminster Fuller, Conformal map, Coxeter element, Coxeter–Dynkin diagram, Dual polyhedron, Faceting, Geometry, Golden ratio, Hyperbolic space, Icosahedron, Johnson solid, K-vertex-connected graph, List of finite spherical symmetry groups, Net (polyhedron), Orbifold notation, Orthogonality, Orthographic projection, Pentagonal bipyramid, Platonic solid, Polyhedron, Polytope compound, Projection (linear algebra), Radius, Role-playing game, Schläfli symbol, Sphere, Spherical polyhedron, Stellation, Stereographic projection, ..., Symmetry group, Tangent, Tetrahedral symmetry, Tetrahedron, Uniform coloring, Vertex arrangement, Volume. Expand index (7 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 Regular icosahedron ·
Buckminster Fuller
Richard Buckminster "Bucky" Fuller (July 12, 1895 – July 1, 1983) was an American architect, systems theorist, author, designer, inventor and futurist.
Buckminster Fuller and Octahedron · Buckminster Fuller and Regular icosahedron ·
Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
Conformal map and Octahedron · Conformal map and Regular icosahedron ·
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 Regular icosahedron ·
Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
Coxeter–Dynkin diagram and Octahedron · Coxeter–Dynkin diagram and Regular icosahedron ·
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 Regular icosahedron ·
Faceting
Stella octangula as a faceting of the cube In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.
Faceting and Octahedron · Faceting and Regular icosahedron ·
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.
Geometry and Octahedron · Geometry and Regular icosahedron ·
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 Regular icosahedron ·
Hyperbolic space
In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.
Hyperbolic space and Octahedron · Hyperbolic space and Regular icosahedron ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Icosahedron and Octahedron · Icosahedron and Regular icosahedron ·
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 Regular icosahedron ·
K-vertex-connected graph
In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer than k vertices are removed.
K-vertex-connected graph and Octahedron · K-vertex-connected graph and Regular icosahedron ·
List of finite spherical symmetry groups
Finite spherical symmetry groups are also called point groups in three dimensions.
List of finite spherical symmetry groups and Octahedron · List of finite spherical symmetry groups and Regular icosahedron ·
Net (polyhedron)
In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
Net (polyhedron) and Octahedron · Net (polyhedron) and Regular icosahedron ·
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 Regular icosahedron ·
Orthogonality
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
Octahedron and Orthogonality · Orthogonality and Regular icosahedron ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
Octahedron and Orthographic projection · Orthographic projection and Regular icosahedron ·
Pentagonal bipyramid
In geometry, the pentagonal bipyramid (or dipyramid) is third of the infinite set of face-transitive bipyramids.
Octahedron and Pentagonal bipyramid · Pentagonal bipyramid and Regular icosahedron ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Octahedron and Platonic solid · Platonic solid and Regular icosahedron ·
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 · Polyhedron and Regular icosahedron ·
Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
Octahedron and Polytope compound · Polytope compound and Regular icosahedron ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
Octahedron and Projection (linear algebra) · Projection (linear algebra) and Regular icosahedron ·
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 · Radius and Regular icosahedron ·
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 · Regular icosahedron 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 · Regular icosahedron and Schläfli symbol ·
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 · Regular icosahedron and Sphere ·
Spherical polyhedron
In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.
Octahedron and Spherical polyhedron · Regular icosahedron and Spherical polyhedron ·
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 · Regular icosahedron and Stellation ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
Octahedron and Stereographic projection · Regular icosahedron and Stereographic projection ·
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 · Regular icosahedron and Symmetry group ·
Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Octahedron and Tangent · Regular icosahedron and Tangent ·
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 · Regular icosahedron 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 · Regular icosahedron and Tetrahedron ·
Uniform coloring
In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex-transitive.
Octahedron and Uniform coloring · Regular icosahedron and Uniform coloring ·
Vertex arrangement
In geometry, a vertex arrangement is a set of points in space described by their relative positions.
Octahedron and Vertex arrangement · Regular icosahedron and Vertex arrangement ·
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.
The list above answers the following questions
- What Octahedron and Regular icosahedron have in common
- What are the similarities between Octahedron and Regular icosahedron
Octahedron and Regular icosahedron Comparison
Octahedron has 105 relations, while Regular icosahedron has 163. As they have in common 37, the Jaccard index is 13.81% = 37 / (105 + 163).
References
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