47 relations: Archimedean solid, Cambridge University Press, Catalan solid, Chamfered dodecahedron, Convex hull, Convex polytope, Coxeter element, Coxeter group, Cube, Cuboctahedron, Dodecahedron, Dual polyhedron, Edge (geometry), Face (geometry), Geometry, Golden ratio, Golden rhombus, Group action, Icosahedron, Icosidodecahedron, Inscribed sphere, Isohedral figure, Isotoxal figure, Octahedron, Penrose tiling, Platonic solid, Radius, Reflection (mathematics), Regular dodecahedron, Regular icosahedron, Rhombic dodecahedron, Rhombille tiling, Rhombus, Roger von Oech, Role-playing, Rotation, Stephen Wolfram, Symmetry group, Tangent, Tetrahedron, Trigonal trapezohedron, Truncated octahedron, Vertex (geometry), Wolfram Alpha, Wolfram Demonstrations Project, Zonohedron, 6-cube.
Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.
New!!: Rhombic triacontahedron and Archimedean solid · See more »
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
New!!: Rhombic triacontahedron and Cambridge University Press · See more »
Catalan solid
In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid.
New!!: Rhombic triacontahedron and Catalan solid · See more »
Chamfered dodecahedron
The chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces: 30 hexagons and 12 pentagons.
New!!: Rhombic triacontahedron and Chamfered dodecahedron · See more »
Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
New!!: Rhombic triacontahedron and Convex hull · See more »
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
New!!: Rhombic triacontahedron and Convex polytope · See more »
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
New!!: Rhombic triacontahedron and Coxeter element · See more »
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
New!!: Rhombic triacontahedron and Coxeter group · See more »
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.
New!!: Rhombic triacontahedron and Cube · See more »
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
New!!: Rhombic triacontahedron and Cuboctahedron · See more »
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
New!!: Rhombic triacontahedron and Dodecahedron · See more »
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.
New!!: Rhombic triacontahedron and Dual polyhedron · See more »
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
New!!: Rhombic triacontahedron and Edge (geometry) · See more »
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.
New!!: Rhombic triacontahedron and Face (geometry) · See more »
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.
New!!: Rhombic triacontahedron and Geometry · See more »
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.
New!!: Rhombic triacontahedron and Golden ratio · See more »
Golden rhombus
In geometry, a golden rhombus is a rhombus whose diagonals are in the ratio \frac.
New!!: Rhombic triacontahedron and Golden rhombus · See more »
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
New!!: Rhombic triacontahedron and Group action · See more »
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
New!!: Rhombic triacontahedron and Icosahedron · See more »
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
New!!: Rhombic triacontahedron and Icosidodecahedron · See more »
Inscribed sphere
In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron's faces.
New!!: Rhombic triacontahedron and Inscribed sphere · See more »
Isohedral figure
In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.
New!!: Rhombic triacontahedron and Isohedral figure · See more »
Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
New!!: Rhombic triacontahedron and Isotoxal figure · See more »
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
New!!: Rhombic triacontahedron and Octahedron · See more »
Penrose tiling
A Penrose tiling is an example of non-periodic tiling generated by an aperiodic set of prototiles.
New!!: Rhombic triacontahedron and Penrose tiling · See more »
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
New!!: Rhombic triacontahedron and Platonic solid · See more »
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.
New!!: Rhombic triacontahedron and Radius · See more »
Reflection (mathematics)
In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
New!!: Rhombic triacontahedron and Reflection (mathematics) · See more »
Regular dodecahedron
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of twelve regular pentagonal faces, three meeting at each vertex.
New!!: Rhombic triacontahedron and Regular dodecahedron · See more »
Regular icosahedron
In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.
New!!: Rhombic triacontahedron and Regular icosahedron · See more »
Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.
New!!: Rhombic triacontahedron and Rhombic dodecahedron · See more »
Rhombille tiling
In geometry, the rhombille tiling, also known as tumbling blocks, reversible cubes, or the dice lattice, is a tessellation of identical 60° rhombi on the Euclidean plane.
New!!: Rhombic triacontahedron and Rhombille tiling · See more »
Rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
New!!: Rhombic triacontahedron and Rhombus · See more »
Roger von Oech
Roger von Oech (born February 16, 1948) is an American speaker, conference organizer, author, and toy-maker whose focus has been on the study of creativity.
New!!: Rhombic triacontahedron and Roger von Oech · See more »
Role-playing
Role-playing is the changing of one's behaviour to assume a role, either unconsciously to fill a social role, or consciously to act out an adopted role.
New!!: Rhombic triacontahedron and Role-playing · See more »
Rotation
A rotation is a circular movement of an object around a center (or point) of rotation.
New!!: Rhombic triacontahedron and Rotation · See more »
Stephen Wolfram
Stephen Wolfram (born August 29, 1959) is a British-American computer scientist, physicist, and businessman.
New!!: Rhombic triacontahedron and Stephen Wolfram · See more »
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.
New!!: Rhombic triacontahedron and Symmetry group · See more »
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.
New!!: Rhombic triacontahedron and Tangent · See more »
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.
New!!: Rhombic triacontahedron and Tetrahedron · See more »
Trigonal trapezohedron
In geometry, a trigonal trapezohedron or trigonal deltohedron is a three-dimensional figure formed by six congruent rhombi.
New!!: Rhombic triacontahedron and Trigonal trapezohedron · See more »
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
New!!: Rhombic triacontahedron and Truncated octahedron · See more »
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
New!!: Rhombic triacontahedron and Vertex (geometry) · See more »
Wolfram Alpha
Wolfram Alpha (also styled WolframAlpha, and Wolfram|Alpha) is a computational knowledge engine or answer engine developed by Wolfram Alpha LLC, a subsidiary of Wolfram Research.
New!!: Rhombic triacontahedron and Wolfram Alpha · See more »
Wolfram Demonstrations Project
The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields.
New!!: Rhombic triacontahedron and Wolfram Demonstrations Project · See more »
Zonohedron
A zonohedron is a convex polyhedron with point symmetry, every face of which is a polygon with point symmetry.
New!!: Rhombic triacontahedron and Zonohedron · See more »
6-cube
In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces.
New!!: Rhombic triacontahedron and 6-cube · See more »
Redirects here:
30-hedron, Rhombic 30-hedron, Rhombic triacontahedral, Triacontahedron.
References
[1] https://en.wikipedia.org/wiki/Rhombic_triacontahedron