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A

  • Abacus in Various Number Systems
  • Abelian group
  • Abscissa
  • Absolute Geometry
  • Absolute value
  • Absolute value of a complex number
  • Absorbtion identity
  • Abundant Number
  • Acute angle
  • Acute triangle
  • Adams' Circle
  • Adams' Method of Apportionment
  • Addition
  • Addition Formula for Sine
  • Additive Inverse
  • Additivity
  • Adjacency
  • Affine-regular Polygon
  • Affine Geometry
  • Affine Space
  • Affine Transformation
  • Affirmative Action Problem
  • Alabama Paradox
  • Alexander the great
  • Algebraic numbers
  • Algorithm
  • Aliquot part
  • All Triangles Are Isosceles
  • Alternate Angle
  • Alternating group
  • Altitude
  • An Airline Problem
  • Anallagmatic
  • Analog gadgets
  • Angle
  • Angle Bisectors
  • Angle of incidence
  • Angle of reflection
  • Angle preservation property
  • Angle Trisection
  • Angular distance
  • Annulus
  • An Old Japanese Theorem
  • Anticenter of a Quadrilateral
  • Antichain
  • Antichain in lexicographic order
  • Anticommutativity
    • Anticommutative quasigroup
  • Anticomplementary Triangle
    • Anticomplementary Triangle
  • Antiequilic Quadrilateral
  • Antihomologous
  • Antiparallel
    • Antiparallel
  • Antipedal triangle
  • Antisymmetry
  • Apollonian Gasket
  • Apollonian Circles
  • Apollonian Circles Theorem
    • Apollonian Circles Theorem
  • Apollonian Family of Circles
  • Apollonius Problem
  • Apollonius' Theorem
  • Apportionment Problem
  • Arbelos
  • Arc (in circle)
  • Archimedes' Law of the Lever
  • Archimedes of Syracuse
  • Archimedes Triangle
  • Archimedes' Lemma
  • Archimedes' Method
  • Archimedes' spiral
  • Archimedes' Squaring of Parabola
  • Archimedes' Twin Circles
  • Area of a Parallelogram
  • Area of a Ring
  • Areal Coordinates
  • Argand Diagram
  • Argument of a Complex Number
  • Arithmetic mean
    • Arithmetic-Geometric Mean Inequality
  • Arithmetic Operations in Various Bases
  • Arithmetic Paradoxes
  • Arithmetic Series
  • Articulation (node) of a graph
  • ASA
  • Assimilation Illusion
  • Associativity
    • Associativity
  • Associates
  • Astroid
    • Astroid
  • Asymmetric Propeller
    • Napoleon's Propeller
  • Asymmetry
  • Attractive Point
  • Automaton
  • Automorphism
  • Axiom of Choice
  • Axiom schema
  • Axiomatic Completeness
  • Axis of Homothety
  • Axis of Symmetry of a Conic

B

  • Bachet's Magic Trick
  • A Baffling Prediction
  • Balinski and Young's Impossibility Theorem
  • Banach-Tarski Decomposition
  • Bankoff's Conundrum
  • Banzhaf Index
  • Barbier's Theorem
    • Barbier, The Theorem of
  • Barcode Encoding
  • Barycenter, barycentric coordinates
    • 3 Jugs Problem
    • 3 Glasses Problem in Barycentric Coordinates
    • Barycentric coordinates and Geometric Probability
  • Base Converter
    • Algorithms for Base Conversion
    • Conversion of Fractions in Various Bases
  • Basic Rigid Motions of the Plane
  • Basil Rennie's Lemma
  • Bayes' Theorem
  • Bear cubs problem
  • Beatty Sequences
  • Beecroft's Theorem
  • Benford's Law
  • Benham's Top
  • Bernoulli Trials
  • Bernstein theorem
  • Bertrand's Paradox
  • Bevan's Point and Theorem
  • Bézout's Identity
  • Bézout's Lemma
  • Bicentric Quadrilateral
  • Bicolor Towers of Hanoi
  • Bijection
  • Bilateral Diagram
  • Bimedians (in a tetrahedron)
  • Binary Encoding with the Stern-Brocot tree
  • Binary Euclid's Algorithm
  • Binary Relation
  • Binary System
  • Binet's Formula
  • Binomial Coefficient
  • Binomial Distribution
  • Binomial Theorem
  • Bipartite graph
  • The Birthday Problem
  • Bisectal Circle
  • Bisecting arcs
  • Bisecting a shape
  • Bitwise shift
  • Bitwise boolean operations
  • Blithe 12 puzzle
  • Blivet
  • Block Design
  • Bogus Nim
    • Bogus Nim
  • Bolzano Theorem
    • Bolzano Theorem, proof
  • Bookland
  • Bottema's theorem
  • Bound
  • Bound Variable
  • Boundary point
  • Bounded Distance
  • Brahmagupta's Theorem
  • Brahmagupta's formula
  • Braids Theory
  • Braikenridge-Maclaurin Theorem
  • Breaking Chocolate Bars
  • Brianchon's theorem
  • Brick Wall Illusion
  • Bride's Chair
  • Brocard angle
  • Brocard circle
  • Brocard diameter
  • Brocard points
  • Broken Chord Theorem
  • Brouwer's Fixed Point Theorem
  • Buffon�s Needle Problem
    • Math Surprises
  • Bulging lines illusion
  • Butterfly Theorem
    • A Better Butterfly Theorem
    • Two Butterflies Theorem
    • The Lepidoptera of the Circles
  • Byzantine Basketball

C

  • Cabart's Collinearity
  • Cake cutting
  • Calendar Magic
  • Calisson
  • Candy's Theorem
  • Canonical Equation of Conics
  • Canter
  • Cantor Function
  • Cantor set
    • Cantor set of positive measure
    • C0 - C0 = [-1, 1]
  • Cantor's lines
  • Cantor's point
  • Cantor's theorem
  • Cantor-Bernstein-Schroeder theorem
  • Cardinal
    • Cardinal Numbers
  • Cardioid
    • Hearty Munching on Cardioids
  • Carnot's Theorem
  • Carnot's Theorem
  • Carnot's Theorem (Generalization of Wallace's Theorem on simsons)
  • Carpets Theorem
  • Cartesian coordinates
    • Cartesian coordinate system
  • Cassini's identity
  • Cauchy's inequality
  • Cauchy's limit
  • Cauchy sequence
  • Cavalieri's Principle
  • Cayley's Lines
  • Cayley Table
  • Cayley's Theorem
  • Ceiling Function
  • Cellular Automaton
  • Center Circles
  • Center of Inversion
  • Centipede
  • Central Angle
  • Central Similarity
  • Central Limit Theorem
  • Centroid
    • Centroid, a Characteristic Property Of
  • Circle of Similitude (of three directly similar figures)
  • Circle of Similitude (of two circles)
  • Ceva's Theorem
    • Ceva's Theorem and Fibonacci Bamboozlement
    • The Menelaus theorem
    • Trigonometric Form of Ceva's Theorem
    • Ceva is equivalent to Menelaus I
    • Ceva is equivalent to Menelaus II
  • Cevian
  • Cevian Nest
  • Cevian Triangle
    • Cevian Triangle
  • Changing Colors
  • Chaos
  • Characteristic Constants of the n-Line
  • Characteristic function
  • Chasles' Theorem
  • Chebyshev polynomials
  • Checker - jumping
  • Chevalier de M�r�'s Problem
  • Chinese Remainder Theorem
  • Chord (in circle)
  • Chronology of updates
  • Chvatal's Art Gallery Theorem
  • Circle
  • Circle of Apollonius
  • Circle of Concern
  • Circle of Influence
  • Circle-Stacking Theorem
  • Circuit, same as cycle
  • Circulant Matrix
    • Circulant Matrix: example
  • Circular Coordinates
  • Circular Poggendorff Illusion
  • Circumference
  • Circum-orthic Triangle
  • Circumcenter
    • Existence of 1
  • Circumcevian Triangle
  • Circumcircle
  • Circumpedal Triangle
  • Circumradius
  • Circumscriptible Polygon
  • City-block distance
  • Classification of Triangles
  • Cleavance center
  • Cleaver
  • Clifford's Chain
  • Clifford's Lemma
  • Clinant
  • Closed interval
  • Closed set
  • Closed walk
  • Closure
  • Coalition
  • Coaxal circles
  • Coaxal Circles Theorem
  • Coincidence
  • Collatz Conjecture
  • Collinear points
  • Collage Theorem
  • Column vector
  • Combination
  • Combinatorial Proofs
  • Common Fraction
  • Common Notions of Euclid
  • Commutative group
  • Commutativity
  • Compact sets
  • Compactification
  • Comparing complex numbers.
  • Complementary angles
  • Complementary event
  • Complementary sequences
  • Complete graph
    • Complete graph
  • Complete order
  • Complete Quadrangle
  • Complete Quadrilateral
    • Complete Quadrilateral, the Theorem of
    • Diagonals of the complete quadrilateral
  • Completeness
  • Completion of a Space
  • Completing the Square and Quadratic Formula
  • Complex numbers
  • Complex product of Complex Numbers
  • Complex Projective Line
  • Composite number
  • Composition
  • Compound Interest
  • Concatenation
  • Concentric circles
  • Concentric polygons
  • Concurrent lines
  • Concyclic Points
  • Conditional Probability
  • Cone
  • Conformal
  • Congruent sets
  • Congruence Modulo a Number
  • Conic Sections
  • Conjugate complex numbers
  • Conjugate coordinates
  • Conjugate Diameters in Ellipse
  • Conjugate families of circles
  • Conjugate points
  • Conjunction
  • Connected component of a graph
  • Connected graph
  • Connected set
  • Consecutive Isosceles Decomposition
  • Consistency
  • Constant Chord
  • Constant Random Variable
  • Constant width, shapes of
  • Constructible Numbers
  • Construction problem
  • Construction with the Compass Only
    • Rusty Compass Construction of Equilateral Triangle
  • Contact Triangle
  • Content
  • Continuity
  • Continued fraction
    • Continued Fractions on the Stern-Brocot Tree
  • Continuous Line Illusion
  • Continuum
  • Continuum Hypothesis
  • Contraction Mapping Theorem
  • Convergent
  • Convergent Sequence
  • Convergent Series
  • Converse theorem
  • Convex hull
  • Convex shape
  • Convolution
    • Convolution
  • Conway's Circle
  • Coolidge theorem
  • Coordinate
  • Copernicus' Theorem
    • Proof of Copernicus' Theorem
  • Coprime
  • Cosine Rule
    • Another derivation
    • In a vector space
  • Countable sets
  • Counting: The Beginning of Mathematics
    • Let Them Count
  • Counting numbers
  • Covering A Chessboard With Domino
  • Critical Player
  • Cross product
  • Crosscap
  • Crossing Diagonal Method
  • Crossing Number of a Graph
  • Crossover
  • Cross-Ratio
  • Crossed-Lines Construction of Shapes of Constant Width
  • Curve
  • CTK Exchange, the
  • Curry's Paradox
  • Curvilinear triangle
  • Cutting pipes
  • Cycle (a permutation)
  • Cycle (on a graph), same as circuit
  • Cyclic quadrilaterals
    • Brahmagupta's Theorem
    • Four Concurrent Lines in a Cyclic Quadrilateral
    • Incenters in Cyclic Quadrilateral
    • Remarkable Line in Cyclic Quadrilateral
  • Cycloids
  • Cyclotomic Equation
  • Cylinder

D

  • Dart
  • Data Structure
  • Date Game
  • Day's Sine Illusion
  • de Bruijn cycle
  • Decimal numeral
  • Decomposition by Dissection
  • Defect of a Langford Sequence
  • Deficient Number
  • Degree of a vertex
  • Delboeuf Illusion
  • Delian Problem
    • Delian Problem Solved
  • Deliberate Ambiguities
  • Deltahedron
  • Deltoid
    • Steiner's Curve
  • de Moivre's formula
    • de Moivre's formula
  • De Moivre numbers
  • de Morgan's Formulas
  • Demagoguery
  • Denuminator
  • Dependent Events
  • Dense set
  • Density function
  • Density (of a binary relation)
  • Derangement
  • Desargues' Theorem
  • Descartes' formula
  • Descartes' Rule of Signs
  • Devil�s pitchfork
  • Diagonal Count
  • Diagonal matrix
  • Diagonal process
  • Diagonal Triangulation
  • Diagonals of the complete quadrilateral
  • Diameter of a circle
  • Diameter of a triangulation
  • Diameter of a convex shape
  • Dihedral Symmetry
  • Difference of two sets
  • Digital Root
  • Digits, fun with
  • Digraph
  • Dilation
  • Dimensional Analysis
  • Direct product
  • Direct sum
  • Directed Angle
  • Directly Congruent Figures
  • Directly Equidecomposable
  • Directrix
    • Directrix of an Ellipse
  • Disappearing Lines (puzzle)
  • Disconnected graph
  • Discovery of Duane DeTemple
  • Discriminant of Quadratic Expression
    • Discriminant of Quadratic Equation
      • Disjoint Events
      • Disjunction
      • Disjunctive Rule
      • Disjunctive sum of games
      • Distance
      • Distance Between Strings
      • Distance Formula
      • Distance From a Point to a Straight Line
      • Distance on the sphere
      • Distance to the Horizon
      • Distorted Lines Illusion
      • Distributive Laws
      • Divergent Series
      • Divide a segment into n equal parts
      • Divisibility by 3
      • Divisibility by 7
      • Divisibility by 9
      • Divisibility by 11
      • Divisibility by 81
      • Divisibility Criteria
      • Divisor of zero
      • d'Ocagne's identity
      • Dodecagon
      • Dot Patterns and Sierpinski Gasket
      • Do you know that...
      • Dot product
      • Double Factorial
      • Double Generation Theorem
      • Double negative
      • Double angle formula for sine
      • Doubling the Cube
      • Douglas' Theorem
      • Drawing circles and ellipses
      • Droodles
      • Droz-Farny Circles
      • Droz-Farny Line Theorem
      • Dual to Pappus' Theorem
      • Duality
      • Duality Principle
      • Ducci Sequence
        • Ducci Sequence
      • Duplication of the Cube
      • Dumb Parrot
      • Dynamic Construction of Ellipse and Other Curves

E

  • 8-connectedness
  • EAN-13 encoding
  • Ear
  • Eccentricity
  • Edge
  • Egyptian Multiplication
  • Egyptian Triangle
    • Egyptian Triangle By Paper Folding
  • Eigenvalue
  • Eigenvector
    • Eigenvectors by Inspection
  • Eliminand
  • Empty set
  • Exterior Angles formed by a secant and parallel lines
  • Epicycloids
  • Eppstein's points
  • Equation
  • Equation of a Straight Line Through Two Points
  • Equation of a Straight Line with Two Intercepts
  • Equal Incircles Theorem
  • Equality
  • Equiangular polygon
    • A Property of Equiangular Polygons
  • Equichordal points: Just Do It
  • Equidecomposable shapes
  • Equilateral polygon
  • Equilateral triangle
  • Equilic Quadrilateral
  • Equivalence Relations
  • The Erdös-Mordell Inequality
  • Euclid's Algorithm
    • Almost Integers, Euclid's Algorithm
    • Extension of Euclid's Algorithm
  • Euclid's Game
  • Euclid's proof of the Pythagoras' Theorem
  • Euclidean distance
  • Euler Line
  • Euler-Nagel Line
  • Euler's Characteristic
  • Euler's Formula
    • Euler's Formula
  • Euler's FormulaEuler's Formula and Poncelet Porism
  • Euler's Function and Congruence Theorem
  • Euler-Mascheroni Constant
  • Euler points
  • Euler's Theorem
  • Euler's Points
  • Euler's Triangle
  • Euler walk
  • Even permutation
  • Even vertex
  • Evolution of Algebraic Symbolism
  • Excenter
  • Excentral triangle
  • Excircle
  • Existential Import
  • Existential Quantifier
  • Exscriptible Quadrilateral
  • Extended Argument of a Complex Number
  • Extension Fields
  • Extension of Euclid's Algorithm
  • Exterior Angle Theorem - an appreciation
  • External Bisector
    • External Angle Bisector
  • External product
  • External Symmedian
  • External Tangent to Two Circles
  • "Extra-geometric" proofs of the Pythagorean Theorem
  • Extreme
  • Extreme points of convex figures
  • Extreme Value Theorem
  • Eyeball Theorem
  • Eye Opener Series

F

  • 4-connectedness
  • 4 Knights
  • 4 travellers problem
  • 4x4 coloring problem
  • Factorial
  • Factorials and division
  • Factoring polynomials
  • Fagnano's problem
    • Fagnano's Problem, Third Solution
    • Fagnano's Problem in Reverse
    • L. Fejer's Solution
  • Fair Division
    • Method fo Lone Divider
    • Method of Markers
    • Method of Sealed Bids
  • Fallacy
  • Farey Series
  • Feasible vectors
  • Fechner Colors
  • Fermat's Little Theorem
  • Fermat Numbers
  • Fermat Point and Generalizations
    • Fermat-Torricelli Point
    • Fermat's Point
  • Feuerbach's Point
  • Feuerbach's Theorem
  • Fibonacci sequence
    • Ceva's Theorem and Fibonacci Bamboozlement
    • Fibonacci Nim
    • Fibonacci Numbers
  • Field
  • Fifteen, the puzzle of
  • Fifth Postulate
  • Finite Cover Property
  • Finite Intersection Property
    • Infinity in Compactification
  • Finsler-Hadwiger theorem
  • First Napoleon Point
  • First Theorem of Apollonius
  • Fish Soup Game
  • Five Incircles Theorem
  • Fixed point
    • About a Line and a Triangle
  • Flank (triangle)
  • Flipping pancakes
  • Floor
  • Focal Chord
  • Focal Distance
  • Focal Parameter
  • Focal Radius
  • Focus of a Conic
    • Foci of an Ellipse
  • Folding
  • Ford's touching circles
  • Formal Framework
  • Four 3s
  • Four 4s
  • Four 5s
  • Four Geometric Problems of Antiquity
  • Fourth Proportional
  • Fractal
  • Fraction Game
  • Fractional part
  • Free group
  • Free Variable
  • Friendly Kiepert's Perspectors
  • Friendship
  • Friendship Theorem
  • Frieze Patterns
  • Frogs and Toads
  • Frogs and Toads in 2 dimensions
  • Fulcrum
  • Full angle
  • Function
  • Function spaces
  • Functional equation
  • Fundamental Theorem of 3-Bar Motion
  • Fundamental Theorem of Algebra
  • Fundamental Theorem of Arithmetic
    • Almost Integers, Fundamental Theorem of Arithmetic
  • Fundamental Theorem of Directly Similar Figures
  • Funny Arithmetic
  • Fuss' Theorem

G

  • Galois Extensions
  • Game of Hex
  • Game Theory
  • Gauss-Bodenmiller theorem
  • Gaussian coordinates
  • Gaussian Integers
  • Gelfond's theorem, Gelgond-Schneider theorem
  • General Equation of a Straight Line
  • General position, lines in
  • Generalization in Mathematics
  • Generating Function
  • Genetic Algorithms
  • Geoboard, Toying with the
  • Geometric Constructions
  • Geometric mean
    • Arithmetic-Geometric Mean Inequality
  • Geometric series
    • Sum of the geometric series
  • Gerbino's Illusion
  • Gergonne and Van Obel Theorems
  • Gergonne Line
  • Gergonne Point
  • Gergonne Triangle
  • Gergonne's Magic Trick
  • Gibbs, Josiah Willard
  • Gion Shrine Problem
  • Girth of a Graph
  • GLaD Construction
  • Glide Reflection
  • Glider
  • Gnomon
  • Gödel's Incompleteness Theorem
  • Golden rectangle
  • Golden section
    • Golden Ratio in Geometry
  • Golden triangle
  • Googol
  • Gordius, King of Phrygia
  • Gradient
  • Graph
  • Graph Theory
  • Gray codes
  • Greatest Common Divisor (gcd)
  • Grebe's theorem
  • Greedy algorithm
  • Griffiths' theorem
  • Group
  • Groupoid
  • Growth
  • Grundy number
  • Grundy's Game
  • Guest book

H

  • Hadwiger-Finsler Inequality
  • Half-axis
  • Half-turn
  • Hamilton Cycle
  • Hamilton Path
  • Hamilton's Method of Apportionment
  • Hamilton's theorem
  • Hamming Distance
  • Handshake Lemma
  • Hanoi, Tower of
  • Happy 8 puzzle
  • Harmonic bundle
  • Harmonic conjugates
  • Harmonic Mean
    • Harmonic mean
  • Harmonic Ratio
  • Harmonic Series
  • Harmonic Triangle
  • Hart Circle
  • Hart's Inversor
  • Hart's Theorem
  • Haruki's Lemma
  • Haruki's Theorem
  • Hausdorff Distance
  • Heaviside Step Function
  • Height in a triangle, formula for
  • Hering Illusion
  • Heptadecagon
  • Heptagon
  • Heredity
  • Hering Illusion
  • Hermann Grid Illusion
  • Heron's Formula
    • Derivation
  • Heron's Problem
  • Hex Can't End in a Draw
  • Hex numbers
  • Hilbert's Plane Filling Curve
  • Hjelmslev Theorem
  • Hofstadter Triangles and Points
  • Hole
  • Homogeneous Coordinates
  • Homogeneous Functions
  • Homologous
  • Homothety
    • Homothety
  • Hooked Langford Sequence
  • Hooper's Paradox
  • Hopf Fibration
  • Horner's Method
  • Hour glass timing
  • How to define a permutation?
  • Human calculators
  • Hummer's Mind Reader
  • Huntington-Hill's Method of Apportionment
  • Huzita's axioms of paper folding
  • Hyperbinary expansion
  • Hypercube
  • Hyperintegers and Hyperreal Numbers
  • Hypocycloids

I

  • Ian McGee's Observation
  • Ideal elements
  • Ideal subrings
  • Idempotent law
  • Identical Twins Puzzle
  • Identical Transformation
  • Identity
  • Identity matrix
  • iff
  • Illusory contour
  • Imaginary numbers
  • Imaginary Part of a Complex Number
  • Impartial gameA second look
  • Implication
  • Implicit Equation of a Straight Line
  • Impossible Fork
  • Impossible page
  • Improper Isometry
  • Incidence matrix
  • Incident points and lines
  • Incenter
  • Incenters in Cyclic Quadrilateral
  • Incircle
  • Inclusion-Exclusion Principle
    • Marriage Theorem
  • Incompatible Events
  • Indegree
  • Independent Events
  • Index
  • Index Lemma, the
  • InductionMathematical Induction: examples
  • Infinite Discent for x4 + y4 = z4
  • Infinite Products
    • Convergent
    • Divergent
    • Convergent to 0
    • Divergent to 0
  • Infinite Sums
  • Infinitesimal
  • Infinitude of Primes
  • Infinity
    • Infinity and Probability
    • What Is Infinity?
  • Inflectin point
  • Injective function
  • Inner product
  • Inner Soddy circle
  • Inradius
  • Inscribed Angles
  • Inscriptable (inscriptible) Polygons
  • Integer
  • Integer Iterations on a Circle
  • Integral Domain
  • Integration in Spherical Coordinates
  • Intercept
  • Intercepted Arc
  • Interest Calculations
  • Interior Angles formed by a secant and parallel lines
  • Intermediate Value Theorem
  • Internal point
  • Internal Tangent to Two Circles
  • Internet News sites
  • Intersecting Chords (Secants) Theorem
    • Intersecting Chords Theorem
  • Intersection of sets
  • Intouch Triangle
  • Invariant Set
  • Inventor's Paradox
  • Inverse Element
  • Inversion (combinatorial)
  • Inversion (geometric)
    • Inverse image
    • Inversion
    • Inversion Tool
    • Inversion with Negative Power
  • Invert the Divisor and Multiply
  • Involution
  • Irrational Numbers
  • ISBN Encoding
  • Isogonal lines
    • Isogonal circle
    • Isogonal conjugates
    • Isogonal Conjugality
    • Isogonal Concurrency
  • Isogonic Centers
  • Isolated point
  • Isometry
    • Plane Isometries
  • Isosceles trapezoid
  • Isosceles Tetrahedron
  • Isosceles triangle
  • Isotomic lines
  • Isotomic conjugates
  • Isoperimetric Inequality
  • Isoperimetric Theorem
  • Isoperimetric Theorem, a variation on
  • Isoperimetric Theorem, a different one
  • Iterative process

J

  • Jam
  • Japanese Theorem I
  • Japanese Theorem II
  • Jefferson's Method of Apportionment
  • Joachimsthal's Notations
  • John Sharp's Paradox
  • Johnson-Trotter Method
  • Jordan Curve Theorem
  • Josephus Flavius, a legend and a problem
  • Judd Illusion
  • Julia sets
  • Jump

K

  • Kanizsa Triangle
  • Kantor's Circle
  • Kaprekar's constant
  • Kaprekar's process
  • Kayles
    • Grundy function for Kayles
  • Kiepert's Theorem
  • Kiepert's Perspector
  • Kirkman's Theorem
    • Pascal Lines: Steiner and Kirkman Theorems II
  • Kitaoka's waves
  • Kite
  • Klein Bottle
  • Knots
  • Koch's snowflake
  • Koffka's Illusion
  • Königsberg
  • Königsberg Bridges
  • Kronecker's symbol
  • Kruskal's algorithm
  • Kurschak's Tile and Theorem

L

  • La Hire's Theorem
    • La Hire's Theorem, a Variant
    • Joachimsthal's Notations
  • Labeling of a graph
  • Lagrange's identity
    • Lagrange's identity, Proof
  • Lagrange's polynomial
  • Lambert's Theorem
  • Langford Sequence
  • Langman's Paradox
  • Latin Squares
  • Lattice
  • Lattice
  • Lattice Multiplication
  • Latus Rectum
  • Law of Cosines
  • Law of excluded middle
  • Law of Sines
  • La Hire's Theorem
  • Leaf
  • Leap Year
  • Least Common Multiple (lcm)
    • Algorithm for Computing LCM
  • Left-handedness
  • Leibniz Triangle
  • Legendre's Lemma
  • Lemoine antiparallel
  • Lemoine circles
  • Lemoine hexagon
  • Lemoine line
  • Lemoine point
  • Léon Anne's theorem
  • Leonardo's Claws
  • The Lepidoptera of the Circles
  • The Lepidoptera of the Quadrilateral
  • Level Curve
  • Levenshtein Distance
  • Lewis Carroll's problem
  • Lewis Carroll's Game of Logic
  • Lexicographic order
    • Complex numbers
    • Permutations
    • Pigeonhole
  • Lights Out
  • Lindemann's Theorem
  • Line at infinity
    • Line at Infinity
    • Line at infinity
  • Linear combination
  • Linear function
  • Linear order
  • Linear Programming
  • Linear Space
  • Linear Transformation
  • Lines in general position
  • Liouville's Theorem
  • Listing all permutations
  • Local-Global Principle
  • Locus
  • Logarithmic spiral
  • Logistic equation
  • Logistic model
  • Logo of mine
  • Lone Divider Method
  • Long Multiplication
  • Long Runs of Composite Numbers
  • Looking your best
  • Loop
  • Looping Chips
  • Lowest Terms, fraction in
  • Loyd's Puzzles, Sam
    • Can you better Sam Loyd?
    • Farmer and Wife To Catch Rooster and Hen
    • Sam Loyd's fifteen
    • Sam Loyd's Geometric Puzzle
    • Plato's Geometric Numbers: can you better Sam Loyd?
    • Puzzlist vs. Mathematician: A Practical Arithmetic Problem
    • The Gordian Knot
  • Lubell-Yamamoto-Meshalkin inequality
  • Lucas' Theorem
    • Lucas' Theorem
  • Lucky 7 puzzle.
  • Lune
  • LYM inequality

M

  • Maclaurin series
  • MacLaurin's Construction of Conics
  • Magic in Square
  • Magic Squares game
  • Mahavira's theorem
  • Major circle of ellipse
  • Malfatti's Problem
  • Maltitude
  • Mandelbrot and Julia sets
    • Iterations and the Mandelbrot Set
  • Mannheim's Theorem
  • Manifesto
  • Markers Method of Fair Division
  • Marriage Theorem
  • Mascheroni constructions
  • MasterMind, Invitation to
  • Material Point
  • Mathematical Expectation
  • Matrix
  • A Matter of Age
  • Maximal Chain
  • Maximum Modulus Theorem
  • Maxwell's Theorem
  • Mazes
    • Mazes
  • Mean Proportional
  • Mean Value Theorem
    • Rolle's and Mean Value Theorems
  • Mechanical Proof of the Pythagorean Theorem
  • Medial triangle
  • Median triangle
  • Median
  • Median Point
  • Medians in a Quadrilateral
  • Mediant fraction
    • Mediant fraction
    • Dots and Fractions
  • Mendelsohn triple
  • Menelaus Theorem
    • Menelaus is equivalent to Ceva I
    • Menelaus is equivalent to Ceva II
  • Merlin's Magic Squares
  • Metamathematics
  • Metric Completeness
  • Metric Function
  • Metric Space
  • Mex rule
    • Mex rule
  • Midline (in a triangle)
  • Millipede
  • Mini Lights Out
  • Minimal Lattice
  • Minimal-change Property
  • Minimax Principle
  • Minimax Theorem
  • Minimum element in a poset
  • Minimum Spanning Tree
    • Minimum Spanning Tree
  • Minkowski addition
  • Minkowski subtraction
  • Miquel's Point
    • Miquel's Point of a 4-line
    • Miquel's Point of a 4-line Via Spiral Similarity
  • Mirror property of the orthic triangle
  • Mirror property of the altitudes
  • Mixed Product of Three Vectors
  • Mixtilinear Circles and Concurrence
    • Radius and Construction of a Mixtilinear Circle
  • Mobile Integer
  • Model
  • Modulo Arithmetic
    • Modular Arithmetic
  • Modulus of a complex number
  • Modus ponens
  • Modus tollens
  • Möbius Strip
  • Möbius Transformations
    • Möbius Transformations
  • Mohr-Mascheroni construction
  • Monge Point
  • Monge's Circle Theorem
    • Monge via Desargues
    • Monge via Desargues II
  • Monic polynomial
  • Monomino
  • Monotone Convergence Theorem
  • Monty Hall Dilemma
  • Moore's Plane Filling Curve
  • Morley's Miracle
    • Doodling and Miracles
  • Most likely number of successes in Bernoulli trials
  • Müller-Lyer Illusion
  • Most elementary theorem of Euclidean geometry
  • Multiplicand
  • Multiplication
  • Multiplicative Inverse
  • Multiset
  • Mutation
  • Mutually Exclusive Events
  • Mutually prime integers
  • My logo

N

  • 9-Point Center
  • 9-Point Circle
    • 9-point Circle as a Locus of Concurrency
  • Nagel Line
  • Nagel Point
    • Nagel Point
  • Nagel's Theorem
  • Napier Bones
  • Napoleon Points
  • Napoleon's Theorem
    • Napoleon's Theorem, a generalization
    • Napoleon's Theorem by Plane Tesselation
    • Napoleon's Theorem, two proofs
    • Napoleon's Theorem, complex variables
    • Napoleon's Theorem, circle incidence
    • Napoleon's Propeller
  • Near
  • Necker Cube
  • Negative Powers
  • Neighborhood
  • Nephroid
  • Nested Radicals
  • Neuberg's Theorem
    • Neuberg's Theorem, Synthetic proof
  • Neusis Constructions
    • Neusis
  • New-States Paradox
  • Newton-Gauss line
  • Newton's line
  • Newton's Theorem
  • Nim, the game of
  • Nimble
  • Nimber
  • Nim-heap
  • Nim-sum
  • Nine-point Circle
  • Nine dots problem
  • n-Line
    • Characteristic Constants of the n-Line
  • Nobbs' points
  • Non-degenerate conic
  • Non-Eclidean Geometries
  • Nonseparable Graph
  • Norm (of a vector)
  • Normal play
  • Normal topological space
  • Northcott's game
  • Nothing is something
  • Nowhere dense set
  • N-position
  • Number Line
  • Number Mosaics
  • Number System With Base 36
  • Numbers, types of
    • Numbers, Conway's definition
  • Numeral
  • Numerator

O

  • 1-1 correspondence
  • Obtuse angle
    • Obtuse angle
  • Obtuse triangle
  • Odd permutation
  • Odd vertex
  • Oddball Problem
  • Old Japanese Theorem
  • Olof Hanner's Jigsaw Puzzle
  • One Pile
  • One-sided surfaces
  • Open interval
  • Open sets
  • Open walk
  • Operations on Fractions
  • Operator
  • Oppositely Congruent Figures
  • Optical Illusion
  • Optical Property of Ellipse
  • Orbison Illusion
  • Orbits
  • Order, Ordered Space
  • Ordinary Generating Function
  • Ordinate
  • Orientation
  • Origami
  • Orthic Axis
  • Orthic triangle
    • Mirror property of the orthic triangle
  • Orthocenter
  • Orthocentric system
  • Orthodiagonal Quadrilateral
    • Orthodiagonal Quadrilateral
  • Orthogonal latin squares
  • Orthogonality
  • Orthologic Triangles
  • Orthopole
  • Other math sites
  • Outdegree
  • Outer Soddy circle

P

  • p-adic Expansions
  • p-adic Numbers
  • Pace
  • Packing shapes in a plane
  • Palindromic
  • Paper Folding
  • Paper strip activities
  • Pappus' Generalization of Euclid I.47
  • Pappus' Theorem
    • Dual to Pappus' Theorem
  • Parabola
    • Parabola as locus
    • Parabolic Mirror
    • Parabola as Envelope
  • Paradox
  • Paradox of Tristram Shandy
  • Parahexagon
  • Parallel Lines
  • Parallel Postulate
  • Parallelogram
  • Parallelogram Law
    • Parallelogram law
  • Parallelogram rule
  • Parametric Equation of a Straight Line
  • Parity
    • Parity of a node on a graph
  • Parpolygon
  • Parrondo Paradox
  • Partial order
    • Partial order in a lattice
  • Partition of point sets in a plane
  • Partitioning a Circle
  • Partizan gameA second look
  • Pascal's Identity
  • Pascal's linePascal Lines: Steiner and Kirkman Theorems
  • Pascal's theorem
    • Pascal's theorem
    • Pascal's Theorem, Homogeneous Coordinates
    • Pascal in a Cyclic Quadrilateral
    • Pascal in Ellipse
  • Pascal Triangle and Sierpinski Gasket
    • Pascal Triangle and the Tower of Hanoi
  • Peano axioms
  • Peano Curves
  • Peano and Wunderlich's Plane Filling Curves
  • Peasant Multiplication
  • Peaucellier Linkage
  • Pedal circle
  • Pedal curve
  • Pedal point
  • Pedal triangle
  • Pedal Construction of Parabola
  • Pedal Curve
  • Pedoe's Theorem
  • Peg Solitaire
    • Peg Solitaire and Group Theory
  • Pencil of circles
  • Pencil of lines
    • Munching on Inscribed Angles
  • Penosculant
  • Pentagon, construction of
  • Percent
  • Perfect Langford Sequence
  • Perfect number
  • Perimeter Splitter
  • Periodic cycle
  • Periodic patterns in sin(N)
  • Permutation
    • How to define a permutation
    • Listing all permutations
    • What, how, and the Web
  • Perpendicular bisector
  • Perspective triangles
    • Triangles perspective from a point
    • Triangles perspective from a line
  • Petersen Graph
  • p
    • Determination of p
  • Pick's Theorem
  • Pigeonhole principle
    • Pigeonhole Principle and Extensions
  • Pitot's Theorem
  • Pivot Theorem
  • Pivotal Player
  • Place Value
  • Plainim
  • Plainim Misère
  • Planar graph
  • Planar polygon
  • Plane Filling Curves
  • Plato's Geometric Numbers: can you better Sam Loyd?
  • Plane Isometry
  • Plücker's Lines
  • Plus or Minus
  • Poggendorff Illusion
  • Poggendorff Illusion II
    • Circular Poggendorff Illusion
  • Point
  • Point at infinity
    • Point at Infinity
    • Point at Infinity
    • Point at infinity
  • Point Circle
  • Point in a Square
  • Point inside a triangle
  • Point-Slope Equation of a Straight Line
  • Polar Circle
  • Polar coordinates
  • Polar Equation of conics
  • Pole and Polar with respect to an angle
  • Pole and Polar with respect to a circle
  • Pole and Polar with respect to a triangle
  • Pole
  • Poles and Polars
  • Polygon
  • Polygonal number
  • Polyomino
  • Pompeiu's Triangle and Theorem
  • Poncelet's Porism
  • Poncelet's Theorem
  • Ponzo Illusion
  • Ponzo Illusion II
  • Population Paradox
  • Porism
  • Poset
  • Positional Number System
  • Positive (Counterclockwise) Direction
  • Power of a point with respect to a circle
    • Power of a point with respect to a circle
  • Power of Inversion
  • P-position
  • Predicate
  • Prim's algorithm
  • Prime
  • Prime Number Decomposition
  • Primorial
  • Principal
  • Principle of Conservation of Angular Momentum
  • Principle of Duality
  • Principle of Proportionality
  • Prisoner's Dilemma
  • Probability
    • Probability density function
    • Probability distribution function
  • Probability paradoxes
  • Product of Rotations
  • Sequential Rule
  • Proizvolov's Identity
  • Projection
  • Projective Geometry
  • Projective Plane
  • Pronk
  • Proofs Without Words
    • Proof
  • Proper Isometry
  • Property of an
  • Propositional Variable
  • Protractor Postulate
  • Ptolemy's Inequality
  • Ptolemy's Theorem
    • Ptolemy's Second Theorem
    • Ptolemy's Theorem implies Pythagoras' Theorem
    • Sine, Cosine, and Ptolemy's Theorem
    • Euler's Generalization of Ptolemy's Theorem
  • Pure existence proof
  • Purely Imaginary Complex Numbers
  • puz(G), the graph of a puzzle
  • Puzzles on graphs
  • Pythagoras' Theorem
    • Mechanical Proof of the Pythagorean Theorem
    • "Extra-geometric" proofs of the Pythagorean Theorem
    • Pythagorean Theorem, Generalizations of
  • Pythagorean triples
    • Proof of the formula
    • Norm of Gaussian integers
    • Gaussian integers
    • Divisibilty in Pythagorean Triples
    • Trinary Tree(s) underlying Primitive Pythagorean Triples
  • Q
    • Quadratic Average
    • Quadratic Field
    • Quadratic Formula
      • Completing a Square and Quadratic Formula
    • Quadratic Function
    • Quadrangle
    • Quadrilateral
    • Quarter-turn
    • Quasigroup
      • Quasigroups and block designs from triangular grid
    • Quota Rule
    • Math Quotations, a Web poll

R

  • Rabinowitz's Point
  • Radical axis of two circles
  • Radical center of three circles
  • Radius of Inversion
  • Radius-vector
  • Radix
  • Ramsey Number
  • Ramsey Theorem
    • Ramsey's Theorem is Sharp
  • Random Dot Stereograms
  • Random Event
  • Random Number Generator
  • Random Variable
  • Rational approximation
  • Rational integers
  • Rational numbers
  • Rational Root Theorem
  • Ray
  • Real numbers
  • Real Part of a Complex Number
  • Real Product of two Complex Numbers
    • Real Product of Complex Numbers
  • Rectangle
  • Recurrence relations
  • Reflection
  • Reflection in Line
  • Reflection in Point
  • Reflection Law in Ellipse
  • Reflective Properties of Parabola
  • Reflex angle
  • Reflexivity
    • Reflexivity
  • Regular polygon
  • Regular polyhedron
  • Relatively prime integers
  • Removable singularity
  • Repelling point
  • Rep-tile
  • Residue classes
  • Retinend
  • Reuleaux's triangle
  • Reverse Solitaire
  • Reversible move
  • Revolving Circles Illusion
  • Rhombus
  • Riemann Sphere
  • Right angle
  • Right triangle
  • Right-handedness
  • Rigid motions
    • Rigid motion
  • Ring
  • Rolle's Theorem, the
    • Rolle's and Mean Value Theorems
  • Rotocenter
  • Rottary gallop
  • Rounding numbers
  • Rouse Ball's Fallacy
  • Routh's Theorem
  • Row vector
  • Russell's Paradox
  • Russian Peasant Multiplication
  • Rusty Compass Construction of Equilateral Triangle

S

  • 7 Coins Puzzle
  • Sam Loyd's Puzzles
    • Can you better Sam Loyd?
    • Farmer and Wife To Catch Rooster and Hen
    • Sam Loyd's fifteen
    • Sam Loyd's Geometric Puzzle
    • Plato's Geometric Numbers: can you better Sam Loyd?
    • Puzzlist vs. Mathematician: A Practical Arithmetic Problem
    • The Gordian Knot
  • Saddle Point
  • Salinon: From Archimedes' Book of Lemmas
  • Salmon's points
  • Sam Loyd's fifteen
  • Sam Loyd's Geometric Puzzle
  • Sam Loyd's Son's Dissection
  • Sangaku
  • SaRD Construction
  • SAS
  • Sawayama's Lemma
  • Scalar
  • Scalar product
  • Scalene triangle
  • Schlafli formula
  • Scintillating Grid Illusion
  • Scoring
  • Scoring Misère
  • Scrub Tile Puzzle
  • Sealed Bids Method
  • Secant
    • Secant
  • Secant Angles
  • Second Napoleon Point
  • Second Theorem of Apollonius
  • Sector (in circle)
  • See-Saw Lemma
  • Segment (in circle)
  • Self-conjugate triangle
  • Self-descriptive Strings
  • Self-documenting sentences
  • Self-dual configuration
  • Self-reference
  • Semigroup
  • Sending scouts into the desert
  • Separating point sets with a circle
  • Sequential Coalition
  • Sequential compactness
  • Sequential Rule
  • Set
  • Seven Circles Theorem
  • Seven Terms Periodic Sequence
  • Shaggy Dog Theorem
  • Shape Property
  • Shapes in a lattice
  • Shapes of constant width
    • Star Construction of Shapes of Constant Width
  • Shapley-Shubik Index
  • Shearing Transform
  • Shepard's Parallelogram Illusion
  • Shift
  • Shimmer Illusion
  • Ship-Dock Theorem
  • Shredding the torus
  • Shuttle Puzzle
  • Sibling node
  • Sierpinski Carpet
  • Sierpinski gasket
    • Dot Patterns and Sierpinski Gasket
    • Sierpinski Gasket by Trema Removal
  • Sieve of Eratosthenes
  • σ-Algebra
  • Signed segment
  • Signum function, sign(t)
  • Silver Dollar Game
  • Similar orderings
  • Similar Triangles, theorem of
  • Similarity
  • Similarity dimension
  • Simple continued fraction
  • Simple graph
  • Simple polygon
  • Simplex
  • Simson Line
    • Simson Line From Isogonal Perspective
  • Simson-Wallace Theorem
  • Simpson's paradox
  • Simultaneous Contrast Illusion
  • Simultaneous Contrast Illusion II
  • Sine Law
  • Single formula to express any integer with digits 0-9 each used just once
  • Six Circles Theorem (Elkies)
  • Six Circles Theorem (Evelyn)
  • Skolem Sequence
  • Slider Puzzles
  • Sliders
  • Slope
  • Slope-Intercept Equation of a Straight Line
  • Social Choice
  • Soddy circles
  • Soddy Line
  • Soddy points
  • Solitaire in the Circle
  • Somos-4 Sequence
  • Soriteses
  • Soroban
  • Sorting Algorithms
  • Spanning Tree
  • Sperner's Labeling
  • Sperner's Lemma
  • Sperner's Theorem
  • Sphere
  • Spieker Center
  • Spira Mirabilis
  • Spiral Similarity
    • Miquel's Point of a 4-line Via Spiral Similarity
  • Splitter
  • Splitting piles
  • Sprague-Grundy function
  • Square
  • Square numbers
  • Squaring a circle
  • Squaring Parabola
  • Squares and Circles
  • Squares, Circles, and Triangles
  • Squinting Eyes Theorem
  • SSS
  • Stability
  • Staircase Illusion
  • Star Polygons
  • Star-shaped region
  • Stationary point
  • Steiner Porism
    • Steiner Porism
  • Steiner's Circle
  • Steiner's Curve
  • Steiner's Theorem
  • Steiner's and Kirkman's Theorems
    • Pascal Lines: Steiner and Kirkman Theorems II
  • Steinhaus' Problem
  • Stereographic projection
    • Stereographic Projection and Radical Axes
  • Stern-Brocot Tree
    • Binary Encoding with the Stern-Brocot tree
  • Stern's diatomic series
  • Stewart's theorem
  • Straight angle
  • Straight Edge Only Construction of Polar w.r.t. an Angle
  • Straight Edge Only Construction of Polar w.r.t. a Circle
  • Straight line
  • Straight Tromino
  • Strategy stealing in the game of Hex
  • Stretching
  • Suan pan
  • Subfactorial
  • Subgraph
  • Subgroup
  • Subjective contour
  • Subtraction Game
  • Successor
  • Sum Rule
  • Sums and Products
  • Superfactorial
  • Supergraph
  • Superposition Principle
  • Supplementary angles
  • Supporting lines of convex figures
  • Surjective function
  • Surreal numbers
    • Surreal Numbers
    • Surreal numbers and games
  • Syllogism, Modes Ponens
    • Syllogism, more general
  • Symmedian
  • Symmedian point
  • Symmetric difference
  • Symmetric group
  • Symmetric relation
  • Symmetry in circle
  • Synthetic division
  • System of Distinct Representatives

T

  • 3-4-5 triangle
  • 3 glass puzzle
  • 3 glass puzzle, second, more general tool
  • T-Junction
  • Take-Away Games
  • Tangent Pair
  • Tangent to two circles
  • Circle of Similitude
  • Tangential triangle
  • Tarski-Banach Decompositions
  • Taylor circle
  • Taylor series
  • Telescoping Series
  • Ternary number system
  • Tessellation
  • Tesseract
  • Thales' Theorem
  • Thales' Theorem
  • The only rational triangle
  • The Two Men of Tibet Problem
  • Thébault's Problem I
  • Thébault's Problem II
  • Thébault's Problem III
  • Theorem of Complete Quadrilateral
  • Theorem of Theaetetus
  • Thick set
  • Thin set
  • Third Proportional
  • Three pancakes problem
  • Three 3s
  • Three 4s
  • Three 5s
  • Three Circles and Common Tangents
  • Three circles problem
  • Three Tangents Theorem
  • Three Tangents Theorem
  • Toads And Frogs Puzzle
  • Toothpick Construction of a Square
  • Topological equivalence
  • Topological Space
  • Topological transformation
  • Topology
  • Torque
  • Torricelli point">
  • Torus
  • Totality (of a binary relation)
  • Totally ordered set
  • Tower of Hanoi
  1. Sierpinski Gasket and Tower of Hanoi
  2. Bicolor Towers of Hanoi
  • Toys and Tots problem
  • Trachoids
  • Train wheel quandary
  • Transcendental numbers
  • Transfinite Cardinality
  • Transitive groups
  • Transitivity in Action
  • Transivity
  • Translation Transform
  • Transpose of a vector
  • Transposition
  • What, how, and the Web
  • Transversal
  • Transverse gallop
  • Trapezoid
  • Tree
  • Trefoil knot
  • Trema
  • Triangle Classification
  • Triangle Inequality, the
  • Axioms of distance function
  • Absolute Value of Complex Number
  • Triangle of Similitude
  • Triangular Billiard
  • Triangular numbers
  • There exist triangular numbers that are also square
  • Triangulation
  • Diagonal Triangulation
  • Trichotomy, the law of
  • Trigonometric Form of Ceva's Theorem
  • Trigonometric Form of Complex Numbers
  • Trilateral Diagrams
  • Trilinear Coordinates
  • Trivial Ramsey Number
  • Tromino
  • Straight Tromino
  • Trot
  • Tucker Circles
  • Turn
  • Turning Turtles
  • Tweedledum & Tweedledee Principle
  • Twin Circles of Archimedes
  • Twisted Cord Illusion
  • Two Butterflies Theorem
  • Two Butterflies Theorem II
  • Two coins puzzle
  • Two Envelopes Paradox
  • Two Numbers Guessing Game
  • Two-squares identity

U

  • Uniform convergence
  • Uniform probability distribution
  • Union of sets
  • Unique Factorization Theorem
  • Uniqueness of number 30
  • Unit element
  • Unit Fraction
  • Unity
  • Universal Quantifier
  • UPC-A encoding
  • Urquhart's Theorem
    • Urquhart's Theorem
  • V
    • Value
    • Van Obel Theorem, Determinants, and Barycentric Coordinates
      • Gergonne and Van Obel Theorems
    • Van Aubel's theorem
    • Van Schooten's theorem
      • Van Schooten's and Pompeiu's Theorems
    • Varignon Parallelogram
    • Vecten's Collinearity
    • Vecten configuration
    • Vecten Points
    • Vector
    • Vector product
    • Vector Space
    • Venn Diagrams
    • Verging
    • Versine
    • Vertex
    • Vertical Angles
    • Vi�te's Formulas
    • Viewing a Statue
    • Viviani's Theorem
  • W
    • Walk on a graph
    • Wallace-Bolyai-Gerwien Theorem
    • Wallace's Theorem
    • Wasan
    • Web poll
    • Webster's Method of Apportionment
    • Weierstrass-Bolzano property
    • Weierstrass Product Inequality
    • Weighted graph
    • Weird curves bound normal areas
    • Weitzenböck Inequality
    • Well-ordered set
    • What do you call a centipede?
    • White's Illusion
    • Whole number
    • Whole part function, [x]
    • Wilson's Theorem
    • Wittenbauer's Parallelogram
    • Word Ladders
    • Word Problems
    • Wunderlich's Plane Filling Curves
    • Wundt Illusion
    • Wundt Block Illusion
    • Wythoff's Nim
    • Wythoff's Nim II
  • X
    • XOR
    • X-intercept
  • Y
    • Y Can't End in a Draw
    • Y-intercept
    • Y. Sawayama's Lemma
    • Yosan
  • Z
    • 0!=1
    • Zaslavsky's theorem
    • Zeckendorf's theorem
    • Zenodorus Theorem
    • Zero
    • Zipf's Law
    • Zöllner's Illusion
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