Mathematical diagram

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Euclid's Elements, ms. from Lüneburg, A.D. 1200

Mathematic diagrams are diagrams in the field of mathematics, and diagrams using mathematics such as charts and graphs, that are mainly designed to convey mathematical relationships, for example, comparisons over time.

History[edit]

Geometric diagrams[edit]

Charts and graphs[edit]


Charts[edit]

Main gallery: Chart.

A chart is a type of diagram, that represents tabular numeric data and/or functions. See Category:Charts by type

Plots[edit]

A plot is is a graphical technique for presenting a data set drawn by hand or produced by a mechanical or electronic plotter. It is a graph depicting the relationship between two or more variables used, for instance, in visualising scientific data.

Geometry diagrams[edit]

See also Category:Geometry diagrams

Coxeter-Dynkin diagrams[edit]

A Coxeter-Dynkin diagrams in geometry is a graph with labelled edges. It represents the spatial relations between a collection of mirrors (or reflecting hyperplanes), and describes a kaleidoscopic construction. See Category:Coxeter-Dynkin diagrams

Minkowski diagrams[edit]

The Minkowski diagram was developed in 1908 by Herman Minkowski and provides an illustration of the properties of space and time in the special theory of relativity. See Category:Minkowski diagrams

Root systems[edit]

A Root system in mathematics is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. See Category:Root systems

Stellation diagrams[edit]

A Stellation diagrams, or facetting diagram, (for polyhedra) represents facet plane intersections outside of a uniform polyhedra face. See Category:Stellation diagrams


Logic diagrams[edit]

Main gallery: Logic diagram.

Logic diagrams are diagrams in the field of logic, used for representation and to carry out certain types of reasoning

Networks[edit]

Sets[edit]

Tables[edit]

Trees[edit]


Vector diagrams[edit]

See also Category:Vector diagrams


Specific types of diagrams[edit]

Argand diagram[edit]

Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane. See Category:Complex plane

Commutative diagrams[edit]

Commutative diagrams are mathematical diagrams of objects, also known as vertices, and morphisms, also known as arrows or edges. See Category:Commutative diagrams

Hasse diagrams[edit]

A Hasse diagram is a mathematical diagram in the order theory, which is a simple picture of a finite partially ordered set, forming a drawing of the transitive reduction of the partial order. See Category:Hasse diagrams

Petri nets[edit]

Petri nets shows the structure of a distributed system as a directed bipartite graph with annotations. See Category:Petri nets

Voronoi diagram[edit]

A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. SeeCategory:Voronoi diagrams

Wallpaper group diagrams[edit]

A wallpaper group or plane symmetry group or plane crystallographic group is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. There are 17 possible distinct groups. See Category:Wallpaper group diagrams


Other mathematical diagrams[edit]

  • Butterfly diagram: Data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley-Tukey FFT.
  • Cremona diagram: a graphical method used in statics of trusses to determine the forces in members (graphic statics).
  • De Finetti diagram: a ternary plot used in population genetics, used to graph the genotype frequencies of populations, where there are two alleles and the population is diploid.
  • Knot diagram: In knot theory a useful way to visualise and manipulate knots is to project the knot onto a plane—think of the knot casting a shadow on the wall.
  • Ulam spiral: a simple method of graphing the prime numbers that reveals a pattern.
  • Van Kampen diagram: a planar diagram used to represent the fact that a particular word among the generators of a group given by a group presentation represents the identity element in that group.
  • A Young diagrams or Young tableau: a combinatorial object useful in representation theory. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.

See also[edit]