Geometry through Art

From RealCTY
Jump to: navigation, search
Geometry through Art
Mathematics Course
Course CodeGART
Year Opened2011
Sites OfferedHAV, SCZ
Previously OfferedEST
Part of a series on
Realcty logo 20060831.png
CTY Courses
Category · Template · Baby CTY
Sites
Allentown · Bristol · Haverford · Hong Kong · Santa Cruz · Seattle
Humanities
Foundations of Psychology
Bioethics · Great Cases: American Legal History
Introduction to Logic · Philosophy
The Roots and Power of Language
Writing
Whodunit?: Mystery and Suspense in Literature and Film
Crafting the Essay
The Graphic Novel
Math
Combinatorics and Graph Theory · Geometry through Art
Paradoxes and Infinities · Mathematical Modeling
Computer Science
Foundations of Programming
Economics
The Mathematics of Money · Game Theory and Economics
Science
Zoology · Principles of Engineering Design
Biotechnology · Chemistry in Society
Introduction to Astronomy
Anatomy and Physiology
The Physics of Sports
Whales and Estuary Systems · The Chesapeake Bay
Defunct Courses
Colonial Life · Beyond America
Civil War and Reconstruction · US Environmental History
Victorian Women · America in the Cold War
The Making of California · The Civil Rights Movement
Politics of Place · Eastern Philosophy
Drama · Writing and Reading Seminar
Public Speaking and Communication · Poetry
Writing the History Paper · Writing American Autobiography
The Short Story · Drama 2: From Stage to Screen
Shakespeare in Performance · Math and Music
Math Workshop · Mathematical Investigations
Math and Art · Algebra and its Applications
Geometry and its Applications · Probability and Statistics
Chaos and Fractals · Introduction to Geology
Exercise Physiology · Environmental Engineering
Nuclear Science · The Critical Essay: Cinema
Medical Sciences: Pharmacology & Toxicology · The Modern City
Writing About Place: The Monterey Bay

Course Description

From the CTY Summer Catalog:

“Geometry is the right foundation of all painting.” In this way, the German artist Albrecht Dürer described a connection between mathematics and art that can be found in every culture. In this introductory geometry course, students learn about geometric figures, properties, and constructions, then use this knowledge to analyze works of art ranging from ancient Greek statues to the modern art of Salvador Dalí.

Beginning with the foundations of Euclidean geometry, including lines, angles, triangles, and other polygons, students examine tessellations and two-dimensional symmetry. Using what they learn about points, lines, and planes, students investigate the development of perspective in Renaissance art. Next they venture into three dimensions, analyzing the geometry of polyhedra and considering their place in ancient art. Finally, students explore non-Euclidean geometry and its links to twentieth-century art, including the drawings of M. C. Escher.

Through lectures, discussions, hands-on modeling, and small group work, students gain a strong foundation for the further study of geometry, as well as an appreciation of the mathematical aspects of art.

Note: Students who have taken a high school geometry class, should not take this course.

Note: This course exposes students to geometric properties and concepts but should not be used to replace a year-long high school geometry course.