Great Math Puzzles

By Xah Lee. Date: . Last updated: .

Peg Solitaire

solitaire puzzle marbles set crop
Solitaire Semi-Precious stones peg solitaire

You begin with a configuration where there's a hole in the center, while all other are filled with marbles (or called pegs). You can remove a peg by jumping one over it. The goal is to leave just 1 peg on the board.

The Ins and Outs of Peg solitaire 7a149
math analysis of Peg Solitare. [The Ins and Outs of Peg solitaire By J D Beasley. Buy at amazon]


klotski puzzle a4e33
klotski puzzle

The goal is to slide the red block into the exit position.

15 Puzzle

15 puzzle 596cs
15 puzzle

goal is to order the numbers by sliding the blocks.

Pentominos Puzzle Solver

pentominos puzzle solver fd914 (2018-04-07) Pentominos Puzzle Solver A pentominos solver, by David Eck.

Some excellent intro to polyominoes:

Hexaflexagons and Other Mathematical Diversions By Martin Gardner ca098
Hexaflexagons and Other Mathematical Diversions Buy at amazon, Chapter 13. By Martin Gardner.


Mine Sweeper
MineSweeper3D by Robert Webb (2003-09,2006-09-01) Windows

MineSweeper3D by Robert Webb. It is similar to the puzzle Minesweeper that comes with Windows, but MineSweeper3D lets you play it on 3D solids. Very well done.


A arresting introduction to tangrams can be found in Time Travel and other Mathematical Bewilderments , by Martin Gardner. Buy at amazon It includes a short bibliography.

If you like mathematical puzzles, you may find this book interesting [Puzzles Old and New: How to make and solve them By Jerry Slocum and Jack Boterman. Buy at amazon] The book includes photographs of many many puzzles. It gives you a panorama of all types of physical puzzles.

If you have a question, put $5 at patreon and message me.

Math Software

  1. 3dxm-s279x224
    Curves and Surfaces
  2. curved space mac-s245x256
    3D Geometry
  3. GeoGebra screenshot-s274x228
    Plane Geometry
  4. NonEuclid by Joel Castellanos 2018 33578-s274x228
  5. girih tiling app 6792f-s316x198
    Tilings, Patterns
  6. kaleidoTileScreen-s289x217
    Polyhedrons and Polytopes
  7. xaos screen-s271x231
  8. stdmap
    Dynamical Systems
  9. Hexagonal Generative Art by Charlotte Dann 52463-s344x181
    Cellular Automata
  10. chinese checkers 7889e-s315x198
    Math Board Game
  11. peg solitaire puzzle 42044-s296x211
  12. Kawai MP9000 piano dodecahedron-s289x217
    Magic Polyhedrons
  13. Math Software for Programers
  14. Old Math Software