Mathematical diagram

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

Geometric diagrams

• 
  Euclid's Elements, ms. from Lüneburg, 1200 AD
• 
  Manuale Mathematicum, 1619
• 
  Table of Geometry, Cyclopaedia, 1728

Charts and graphs

• 
  Planetary Movements Chart, 10 th century
• 
  A page from Tractatus de latitudinibus formarum (1505)
• 
  Barchart by William Palyfair, 1781
• 
  Barchart by William Palyfair, 1821

Charts

Main gallery: Chart.

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

• 
  Area chart
• 
  bar chart
• 
  Bubble chart
• 
  Candlestick chart
• 
  Cartogram
• 
  Control chart
• 
  Flow chart
• 
  Gantt chart
• 
  Histogram
• 
  Line charts
• 
  Nolan chart
• 
  Nomogram
• 
  PERT chart
• 
  Pareto chart
• 
  Pedigree chart
• 
  Pie chart
• 
  Radar chart
• 
  Run chart
• 
  Timeline
• 
  Tree chart
• 
  Vowel chart

Plots

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.

• 
  w:Arrhenius plot
• 
  Biplot
• 
  w:Bland-Altman plot
• 
  w:Box plot
• 
  w:Funnel plot
• 
  w:Dot plot (bioinformatics)
• 
  w:Dot plot (statistics)
• 
  w:Forest plot
• 
  w:Nichols plot
• 
  w:Normal probability plot
• 
  Nyquist plot
• 
  Phase plots
• 
  Probability plot
• 
  w:Q-Q plot
• 
  Scatterplot
• 
  Star plot
• 
  Ternary plot
• 
  Violin plot

Geometry diagrams

See also Category:Geometry diagrams

Coxeter-Dynkin diagrams

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

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

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

• 
• 
• 
• 

Stellation diagrams

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

• 
• 
• 
• 

Logic diagrams

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

• 
  Binary decision diagrams
• 
  Concept maps
• 
  Kripke models
• 
  Logic gates

Sets

• 
  Edward's Venn diagrams
• 
  Euler diagrams
• 
  Existential graph
• 
  Johnston diagrams
• 
  Spider diagram
• 
  Venn diagram

Tables

• 
  Carroll diagrams
• 
  Karnaugh maps
• 
  Operation tables in logic
• 
  Truth tables

Trees

• 
  Argument maps
• 
  Porphyrian tree
• 
  Semantic tableau

Vector diagrams

See also Category:Vector diagrams

• Category:Phasor diagrams for AC
• Category:Tangent vectors
• Category:Vector fields
• Category:Vector force diagrams

Specific types of diagrams

Argand diagram

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

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

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

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

• 
• 
• 
• 

Voronoi diagram

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

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

• 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.

• 
  Butterfly diagram
• 
  Cremona diagram
• 
  De Finetti diagram
• 
  Knot diagram
• 
  Van Kampen diagram
• 
  Ulam spiral
• 
  Young diagram
• 
  Fields of Mathematics
• 
  palindrome
• 
  Palindrome
• 
  mathematicians
• 
  mathematicians

See also

• Category:Graphs
• Category:Plots
• Graphs in graph theory
• Specific diagram types