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Détails du magazine
Format
Magazine
eISSN
2182-1976
Première publication
16 Apr 2016
Période de publication
2 fois par an
Langues
Anglais

Chercher

Volume 7 (2020): Edition 13 (November 2020)

Détails du magazine
Format
Magazine
eISSN
2182-1976
Première publication
16 Apr 2016
Période de publication
2 fois par an
Langues
Anglais

Chercher

5 Articles
Accès libre

Counting Clues in Crosswords

Publié en ligne: 18 Sep 2020
Pages: 1 - 7

Résumé

Abstract

We consider different ways to count the number of clues in American-style crossword puzzle grids. One yields a basic parity result for symmetric square grids. Another works efficiently even for non-symmetric grids that are already numbered. We further discuss the upper limit on the number of clues in a crossword puzzle with no 2-letter answers, and open questions are given. As a bonus, a mathematically-themed crossword puzzle is included!

Accès libre

Making the Unfair Fair

Publié en ligne: 18 Sep 2020
Pages: 9 - 26

Résumé

Accès libre

Next Level Odd-One-Out Puzzles

Publié en ligne: 18 Sep 2020
Pages: 27 - 51

Résumé

Abstract

A commonly occurring task in intelligence tests or recreational riddles is to “find the odd one out”, that is, to determine a unique element of a set of objects that is somehow special. It is somewhat arbitrary what exactly the relevant feature is that makes one object different. But once that is settled, the answer becomes obvious. Not so with a puzzle popularized by Tanya Khovanova to express her dislike for this type of puzzle. Here, it is a more complicated relation between the objects and the features that determines the odd object, because there is only one object that does not have a unique feature expression. This puzzle inspired me to look for even more complicated relations between objects, features and feature expressions that appear to be even more symmetric, but actually still single out a “special object”. This paper provides useful definitions, a theoretical basis, solution algorithms, and several examples for this kind of puzzle.

Mots clés

  • puzzles
  • symmetry
  • combinatorics
Accès libre

Stay in Command: Optimal Play for Two Person Generala

Publié en ligne: 18 Sep 2020
Pages: 53 - 70

Résumé

Accès libre

The Classification of Magic SET Squares

Publié en ligne: 18 Sep 2020
Pages: 71 - 94

Résumé

Abstract

A magic SET square is a 3 by 3 table of SET cards such that each row, column, diagonal, and anti-diagonal is a set. We allow the following transformations of the square: shuffling features, shuffling values within the features, rotations and reflections of the square. Under these transformations, there are 21 types of magic SET squares. We calculate the number of squares of each type. In addition, we discuss a game of SET tic-tac-toe.

5 Articles
Accès libre

Counting Clues in Crosswords

Publié en ligne: 18 Sep 2020
Pages: 1 - 7

Résumé

Abstract

We consider different ways to count the number of clues in American-style crossword puzzle grids. One yields a basic parity result for symmetric square grids. Another works efficiently even for non-symmetric grids that are already numbered. We further discuss the upper limit on the number of clues in a crossword puzzle with no 2-letter answers, and open questions are given. As a bonus, a mathematically-themed crossword puzzle is included!

Accès libre

Making the Unfair Fair

Publié en ligne: 18 Sep 2020
Pages: 9 - 26

Résumé

Accès libre

Next Level Odd-One-Out Puzzles

Publié en ligne: 18 Sep 2020
Pages: 27 - 51

Résumé

Abstract

A commonly occurring task in intelligence tests or recreational riddles is to “find the odd one out”, that is, to determine a unique element of a set of objects that is somehow special. It is somewhat arbitrary what exactly the relevant feature is that makes one object different. But once that is settled, the answer becomes obvious. Not so with a puzzle popularized by Tanya Khovanova to express her dislike for this type of puzzle. Here, it is a more complicated relation between the objects and the features that determines the odd object, because there is only one object that does not have a unique feature expression. This puzzle inspired me to look for even more complicated relations between objects, features and feature expressions that appear to be even more symmetric, but actually still single out a “special object”. This paper provides useful definitions, a theoretical basis, solution algorithms, and several examples for this kind of puzzle.

Mots clés

  • puzzles
  • symmetry
  • combinatorics
Accès libre

Stay in Command: Optimal Play for Two Person Generala

Publié en ligne: 18 Sep 2020
Pages: 53 - 70

Résumé

Accès libre

The Classification of Magic SET Squares

Publié en ligne: 18 Sep 2020
Pages: 71 - 94

Résumé

Abstract

A magic SET square is a 3 by 3 table of SET cards such that each row, column, diagonal, and anti-diagonal is a set. We allow the following transformations of the square: shuffling features, shuffling values within the features, rotations and reflections of the square. Under these transformations, there are 21 types of magic SET squares. We calculate the number of squares of each type. In addition, we discuss a game of SET tic-tac-toe.

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