MATH 427
Tiling Theory
Last Offered Spring 2023
Division III Quantitative/Formal Reasoning
This course is not offered in the current catalog

Class Details

Since people first used stones and bricks to tile the floors of their domiciles, tiling has been an area of interest. Practitioners include artists, engineers, designers, architects, crystallographers, scientists and mathematicians. This course will be an investigation into the mathematical theory of tiling. The course will focus on tilings of the plane, including topics such as the symmetry groups of tilings, types of tilings, random tilings, the classification of tilings and aperiodic tilings. We will also look at tilings of the sphere, tilings of the hyperbolic plane, and tilings in in higher dimensions, including “knotted tilings”.
The Class: Format: lecture
Limit: 30
Expected: 25
Class#: 3463
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: problem assignments, exams and a presentation/paper
Prerequisites: MATH 250 Linear Algebra and MATH 355 Abstract Algebra
Enrollment Preferences: senior majors, seniors, juniors, sophomores, first-year students (this is a senior seminar, one of which is required for all senior majors, so they have first preference)
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: Mathematics course

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  • MATH 427 - LEC Tiling Theory
    MATH 427 LEC Tiling Theory
    Division III Quantitative/Formal Reasoning
    Not offered

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