# Mathematical diagram

**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]

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]

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*

- Category:Phasor diagrams for AC
- Category:Tangent vectors
- Category:Vector fields
- Category:Vector force 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. See*Category: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.