Mathematical Symbols

A hierarchical exploration of mathematics through its symbolic language, organized by frequency, topics, and relationships

Fundamental Operations
Geometric Relations
Set Theory & Logic
Abstract Mathematics
Advanced Calculus
Algebraic Structures
Equals
100
Plus
98
Minus
97
Times
95
Divide
93
Integral
88
Summation
87
Pi
85
Square Root
84
Infinity
82
Partial Derivative
78
Element Of
76
For All
74
There Exists
73
Nabla
71
Less Than or Equal
70
Greater Than or Equal
69
Product
67
Theta
66
Union
65
Intersection
64
Right Arrow
63
Subset
62
Lambda
61
Direct Sum
58
Tensor Product
56
Logical AND
55
Logical OR
54
Not
53
Approximately Equal
52
Not Equal
51
Empty Set
50
Sigma (Capital)
49
Delta (Capital)
48
Proportional To
47
Perpendicular
46
Parallel
45
Tilde
44
Double Arrow
43
If and Only If
42
Composition
41
Top
39
Weierstrass P
38
Entails
37
Models
36
Multiset Union
35
Join
34
Meet
33
Therefore
32
Because
31

Fundamental Operations

12 symbols

Basic arithmetic and algebraic operations used across all mathematics

Geometric Relations

1 symbols

Spatial relationships, angles, and geometric properties

Set Theory & Logic

13 symbols

Mathematical logic, set operations, and foundational concepts

Abstract Mathematics

13 symbols

High-level abstractions and theoretical frameworks

Advanced Calculus

8 symbols

Continuous mathematics, integration, differentiation, and limits

Algebraic Structures

13 symbols

Abstract structures including groups, rings, and categories

About This Visualization

50
Mathematical Symbols
6
Thematic Clusters
4D
Dimensional Clustering

This visualization uses k-means clustering in 4-dimensional space to organize mathematical symbols by frequency, topic count, topic diversity, and abstractness. Each symbol is positioned and colored based on its cluster assignment.

The layout is inspired by the periodic table of elements, organizing symbols hierarchically with the most fundamental operations at the top. Click any symbol to explore its relationships with other mathematical concepts.

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