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Detalles de la revista
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Revista
eISSN
2182-1976
Publicado por primera vez
16 Apr 2016
Periodo de publicación
2 veces al año
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Volumen 7 (2020): Edición 13 (November 2020)

Detalles de la revista
Formato
Revista
eISSN
2182-1976
Publicado por primera vez
16 Apr 2016
Periodo de publicación
2 veces al año
Idiomas
Inglés

Buscar

5 Artículos
Acceso abierto

Counting Clues in Crosswords

Publicado en línea: 18 Sep 2020
Páginas: 1 - 7

Resumen

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!

Acceso abierto

Making the Unfair Fair

Publicado en línea: 18 Sep 2020
Páginas: 9 - 26

Resumen

Acceso abierto

Next Level Odd-One-Out Puzzles

Publicado en línea: 18 Sep 2020
Páginas: 27 - 51

Resumen

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.

Palabras clave

  • puzzles
  • symmetry
  • combinatorics
Acceso abierto

Stay in Command: Optimal Play for Two Person Generala

Publicado en línea: 18 Sep 2020
Páginas: 53 - 70

Resumen

Acceso abierto

The Classification of Magic SET Squares

Publicado en línea: 18 Sep 2020
Páginas: 71 - 94

Resumen

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 Artículos
Acceso abierto

Counting Clues in Crosswords

Publicado en línea: 18 Sep 2020
Páginas: 1 - 7

Resumen

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!

Acceso abierto

Making the Unfair Fair

Publicado en línea: 18 Sep 2020
Páginas: 9 - 26

Resumen

Acceso abierto

Next Level Odd-One-Out Puzzles

Publicado en línea: 18 Sep 2020
Páginas: 27 - 51

Resumen

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.

Palabras clave

  • puzzles
  • symmetry
  • combinatorics
Acceso abierto

Stay in Command: Optimal Play for Two Person Generala

Publicado en línea: 18 Sep 2020
Páginas: 53 - 70

Resumen

Acceso abierto

The Classification of Magic SET Squares

Publicado en línea: 18 Sep 2020
Páginas: 71 - 94

Resumen

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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