A Mathematical Analysis of American-style Crossword Puzzles with 90○ Symmetry

Title

A Mathematical Analysis of American-style Crossword Puzzles with 90○ Symmetry

Author

Brandilan Moring

Faculty Sponsor

Leanne Merrill

Gavin Keulks

Date

6/1/2022

Abstract

This paper explores one avenue that will contribute to the known information on crossword puzzles. In order to do this, we consider only crossword puzzles with 90° symmetry. In this paper, we provide lists of 5x5, 7x7, and 9x9 crossword puzzles, and prove these lists are complete. Finally, using those results, we determine the maximum number of voids, or black squares, in an 11x11 puzzle. ii

Type

Text

Honors Thesis

Department

Honors Program

Language

eng

Rights

Western Oregon University Library has determined, as of 06/01/2023, this item is in copyright, which is held by the author. Users may use the item in accordance with copyright limitations and exceptions, including fair use. For other uses, please ask permission from the author.

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Identifier

honors_theses/276