"Mathematics is one of the forms of art": post to the centenary of the birth of Martin Gardner
Translation of Ed Pegg Jr's post " Martin Gardner's 100th Birthday " by Ed Pegg Jr.
I think the content of this post will be interesting to everyone who loves mathematics and its beauty, everyone who is familiar with the wonderful books and tasks of Martin Gardner, and will also be useful to teachers, schoolchildren and students. All links in this post lead to the Wolfram Demonstrations Project sites (a collection of free interactive demonstrations created by Mathematica users in the Wolfram Language using Computable Document Format (CDF) technology, and the source codes of all the demonstrations are available to you, which means you can each of them is downloaded, studied and modified by itself) and Wolfram MathWorld (the largest and most authoritative online encyclopedia of mathematics).
One hundred years ago, on October 21, 1914, Martin Gardner was born in Oklahoma.
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About Martin Gardner in Brief (Wikipedia Material)
He was leading the category of mathematical games and entertainment of the Scientific American magazine, in which Life was introduced to the general public, invented by John Conway, as well as many other interesting games, tasks, puzzles.
Of particular popularity gained articles and books of Gardner on entertaining mathematics. Gardner interpreted entertaining as a synonym for a fascinating, interesting in knowledge, but alien idle entertainment.
He is also known as the author of several science fiction stories (“The Island of Five Colors”, “Nulstorne Professor”), commentator Lewis Carroll (“Alice in Wonderland”, “Alice through the Looking Glass” and “Snark Hunt”) and G. K. Chesterton ( “The Man Who Was Thursday” and “The Failure of Father Brown”).
Among the works of Gardner there are philosophical essays, essays on the history of mathematics, mathematical tricks and "comics", popular science etudes, science fiction stories, tasks for ingenuity.
The “Gardner’s” style is characterized by clarity, brightness, persuasiveness, brilliance, paradoxicalness of thought, novelty and depth of scientific ideas, many of which are drawn from modern scientific publications and, in turn, stimulated serious research and active involvement of the reader in independent creativity.
Of particular popularity gained articles and books of Gardner on entertaining mathematics. Gardner interpreted entertaining as a synonym for a fascinating, interesting in knowledge, but alien idle entertainment.
He is also known as the author of several science fiction stories (“The Island of Five Colors”, “Nulstorne Professor”), commentator Lewis Carroll (“Alice in Wonderland”, “Alice through the Looking Glass” and “Snark Hunt”) and G. K. Chesterton ( “The Man Who Was Thursday” and “The Failure of Father Brown”).
Among the works of Gardner there are philosophical essays, essays on the history of mathematics, mathematical tricks and "comics", popular science etudes, science fiction stories, tasks for ingenuity.
The “Gardner’s” style is characterized by clarity, brightness, persuasiveness, brilliance, paradoxicalness of thought, novelty and depth of scientific ideas, many of which are drawn from modern scientific publications and, in turn, stimulated serious research and active involvement of the reader in independent creativity.
He wrote about the game of hex and tic-tac-toe .
Search for Hamiltonian cycles on the edges of the dodecahedron (the game “Ikosian”) and about polomino .
Paper Plexigagons, Samuel Loyd's Puzzles , and Nim's Game .
Digital root of number , Soma cubes , labyrinths , logic , and magic squares .
Squaring the square and the golden section .
Solved the " spider and fly problem ".
He wrote about the problem of packing circles , the properties of an ellipse , the number of pi and conic sections .
Group theory and its application in the theory of braids , the intervals between prime numbers , Latin squares , the four color theorem .
Hypercubes , Turing machines , constant-width curves , the eight queen problem .
A Klein bottle cut into ribbons , helixes and " graceful graphs ".
About the Arecibo message , and signs of the divisibility of numbers .
About Ulam carpets and even / odd numbers .
Farm-based buildings that are stable , trisection angle , and the Mrs. Perkins blanket problem.
On Pascal's triangle , balancing weights with ternary weights and the problem of a billiard trajectory as applied to the problem of water transfusion .
On geometric constructions with constraints , the number e, and the proof of problems by induction .
About abacus , random walks , tidal fractions, and puzzle-like puzzles .
On the Pythagorean theorem , gears , M.K. Escher art and spheres .
Patterns based on dominoes , towers based on harmonic series , endless rows and the task of cutting the cake .
About Alef-zero and Alef-one .
About the Game of Life and the Gosper's gun.
About Paterson worms and a torus twisted in a knot , bending a sheet of paper and playing the Mill .
On the problem solved by Andrew Wiles (Fermat's Great Theorem).
On the principle of Dirichlet and Penrose patterns .
On the game, a soliter , figures from a thread , curves of a dragon , and a book of changes .
About the figures, which can be broken down into the figure itself , and the Borromean rings .
On tiling the plane with pentagons , the problem of shuffling , the problem of " Exact touch" , tetrahedra , cycloids and dice for dice .
Diophantine equations and geometric fallacies .
Non-transitive dices and special theory of relativity .
Meander ... in fact, it is possible to continue perhaps for several days to enumerate what Martin Gardner did and wrote about, but I think that I have already listed enough to honor his memory.
Resources for learning Wolfram Language (Mathematica) in Russian: http://habrahabr.ru/post/244451
Source: https://habr.com/ru/post/244563/
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