Faster access than browser!Similarities between Polyhedron and Tessellation
Polyhedron and Tessellation have 28 things in common (in Unionpedia): Boundary (topology), Connected space, Crystal, Cube, Disk (mathematics), Dissection problem, Edge (geometry), Empty set, Face (geometry), Geometry, Honeycomb (geometry), Isogonal figure, Johannes Kepler, M. C. Escher, Octahedron, Platonic solid, Polygon, Polytope, Prism (geometry), Regular polygon, Symmetry, Tetrahedron, Topology, Uniform polyhedron, Vertex (geometry), Vertex configuration, Voronoi diagram, Weaire–Phelan structure.
Boundary (topology)
In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set.
Boundary (topology) and Polyhedron · Boundary (topology) and Tessellation ·
Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.
Connected space and Polyhedron · Connected space and Tessellation ·
Crystal
A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.
Crystal and Polyhedron · Crystal and Tessellation ·
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 Polyhedron · Cube and Tessellation ·
Disk (mathematics)
In geometry, a disk (also spelled disc).
Disk (mathematics) and Polyhedron · Disk (mathematics) and Tessellation ·
Dissection problem
In geometry, a dissection problem is the problem of partitioning a geometric figure (such as a polytope or ball) into smaller pieces that may be rearranged into a new figure of equal content.
Dissection problem and Polyhedron · Dissection problem and Tessellation ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
Edge (geometry) and Polyhedron · Edge (geometry) and Tessellation ·
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
Empty set and Polyhedron · Empty set and Tessellation ·
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.
Face (geometry) and Polyhedron · Face (geometry) and Tessellation ·
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 Polyhedron · Geometry and Tessellation ·
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.
Honeycomb (geometry) and Polyhedron · Honeycomb (geometry) and Tessellation ·
Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
Isogonal figure and Polyhedron · Isogonal figure and Tessellation ·
Johannes Kepler
Johannes Kepler (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer, and astrologer.
Johannes Kepler and Polyhedron · Johannes Kepler and Tessellation ·
M. C. Escher
Maurits Cornelis Escher (17 June 1898 – 27 March 1972) was a Dutch graphic artist who made mathematically-inspired woodcuts, lithographs, and mezzotints.
M. C. Escher and Polyhedron · M. C. Escher and Tessellation ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Polyhedron · Octahedron and Tessellation ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Polyhedron · Platonic solid and Tessellation ·
Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
Polygon and Polyhedron · Polygon and Tessellation ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Polyhedron and Polytope · Polytope and Tessellation ·
Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
Polyhedron and Prism (geometry) · Prism (geometry) and Tessellation ·
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).
Polyhedron and Regular polygon · Regular polygon and Tessellation ·
Symmetry
Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.
Polyhedron and Symmetry · Symmetry and Tessellation ·
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.
Polyhedron and Tetrahedron · Tessellation and Tetrahedron ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Polyhedron and Topology · Tessellation and Topology ·
Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
Polyhedron and Uniform polyhedron · Tessellation and Uniform polyhedron ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
Polyhedron and Vertex (geometry) · Tessellation and Vertex (geometry) ·
Vertex configuration
In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.
Polyhedron and Vertex configuration · Tessellation and Vertex configuration ·
Voronoi diagram
In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.
Polyhedron and Voronoi diagram · Tessellation and Voronoi diagram ·
Weaire–Phelan structure
In geometry, the Weaire–Phelan structure is a complex 3-dimensional structure representing an idealised foam of equal-sized bubbles.
Polyhedron and Weaire–Phelan structure · Tessellation and Weaire–Phelan structure ·
The list above answers the following questions
- What Polyhedron and Tessellation have in common
- What are the similarities between Polyhedron and Tessellation
Polyhedron and Tessellation Comparison
Polyhedron has 210 relations, while Tessellation has 191. As they have in common 28, the Jaccard index is 6.98% = 28 / (210 + 191).
References
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