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Groups of Mathematical Puzzles and Problems for Recreational Mathematics

The following items can be found via Martin Gardner's books and similar sources. Many of these will have wiki-links. I will check these as convenient. The list can then be moved to an article page. JK-Salisbury 28-June-08

Magic Shapes

Magic Square;
Other Magic Shape - stars and cubes;
Bordered squares;
Addition, Subtraction, Multiplication & Division squares;
Latin square;
Graeco-Latin Euler squares;
Sudoku;

Shapes

Polyforms ie Polyominoes, Bolos, Hexes, Iamonds, Lozzes, Stix;
Lattices – square, hexagonal, triangular;
Replication;
Rep-tiles;
Tesselation & Tiling;
Penrose tiles;
Escher staircase;
Shape-fitting;
Square-packing;
Dissections – shape-to-shape;
Tree-planting;
Flyovers;
Pancake-cuts & donut-cuts;
Tangrams & Solgrams;
n-colour spots & bracelets;
Pascal’s Triangle & pyramid;
Angulation – acute, obtuse & basic;
Platonic solids;
Polyhedra;
Soma cubes;
Shape-killing;
Envelopes – curves, parabola, ellipses, spirals;
Paper-folding for curves;
Origami;
Macmahon Cubes;
Snowflakes;
Mosaics;
Packing;

On the Chessboard

Placement – 8 Queens [and other pieces]
Max-attack, min-attack, Pacific, Efficient, Inefficient;
Tours – Knights and other pieces;
Maxiwiggle, miniwiggle, max-distance, re-entrant;
Fairy Pieces;
Spud tours;
Lattice walks;

Numbers

Primes;
Amicable, Perfect, Cyclic etc;
Fermat, Mersenne, Catalan etc;
Factorials;
Alphametics;
Cryptarithms;
Numbles;
Pi;
e;
Phi (Golden Number);
0, 1, 2 and interesting numbers;
Fibonacci & Lucas sequences;
Binary, Denary, Duodecimal;
Pythagoras Figure patterns;
Diophantos;
Permutations;

Logic

Paradoxes;
Fallacies;
Probability;
Game Theory;
Newcomb’s Paradox; Prisoners' Dilemma;
Coincidence;
Boolean Algebra;
Turing Machines;
Abacus;
Codes & Ciphers;
Flatland;
Birds in Trees;
15 Puzzle;
Finger-counting;
Mental Arithmetic short-cuts;
Tournaments;
Schoolwalks – Kirkman Triples & Quadruples;
Pierce permutations;
Round-Table permutations;
Table-sitting;
Josephus Decimation;
Minimum Weights & Postage;
River-Crossing;
Railway shunting;
Desert Crossing;
Monkey & Coconuts;
Bottle Pouring;
4 colour map;
“Numerology”;
“Pyramidology”;
“Astrology”;

Modern Chaos & Fractals

Peano Curves;
Dragon Curves;
Flowsnakes;
Koch;
Minkowski;
Mandelbrot and other Fractals;
Julia Sets;
Catastrophe Theory;

Modern (trademark)

Bono’s L Game;
Rubik’s Cube;
Rubik’s variations;
Rubik’s Snake;
Rubik’s Clock;
Solitaire (English Cross & European);
Nim;
Tac-Tix;
Sprouts;
Hip;

Odds & Ends

Dice;
Cards;
Topology route-making;
Symmetry, rotations, reflections;
Moebius;
Knots;
Braids;
String figures;
Donuts;
Flexagons;
Mazes;
Chinese Rings;
Borromean Rings;
Tower of Hanoi;
Icosian Game;
Coin moving;
Match moving;
Pack shuffling;
Gem-cutting;
Juggling;
Casinos & Fairground Games;
Building Card-houses;
Patterns in Table of Elements & Sub-Atomic Particles;
Weights & Measures;
Egyptian Fractions;
Normal & Poisson Distributions in real-life;
Cricket, Golf – spin, swerve, cut, and dip;
Fortifications and lines-of-fire;
Knitting;
Stitching;
Lace-making;
Calendars;
Lightning Calculators;

Art & Music

Perspective; Anamorphic;
Minimal;
3-D models, Burrs;
Optical Illusions;
Vasarely, Riley;
Projections, maps, scales;
Fantasy Maps;
Music Notation;
Scales;
Wave-patterns;
Campanology, Bell-ringing;
Dance-choreography;
Melody machines;
Random walks;
I Ching;
Laffer curve;
Hoaxes;

Words

Crosswords;
Anagrams;
Oulipo;
Lewis Carroll ;
Interesting words;
Eleusis;

Salisbury-99 (talk) 16:23, 24 September 2008 (UTC)[reply]

Name of a variant of Four 4s ?

[edit]

There are some games that propose the player an initial number, a goal number, some available operations and the amount of maximum operations. The player then needs to reach the goal number through a combination of the operations given.

For example. One has the operation "+9", "x2", "8->4" (a digit that is an 8 becomes a 4), a starting value of 0, five operations at most and a goal of 24. The solution is: "+9" (current value 9), "+9" (current value 18), "8->4" (c.v. 14), "x2" (c.v. 28), "8->4" (c.v. 24) .

How is such a game called? Pier4r (talk) 22:19, 3 January 2023 (UTC)[reply]