Below is a Guest post on Alex Bellos’s maths blog.
In her new book Mathematics and Art, historian Lyn Gamwell
explores how artists have for thousands of years used mathematical
concepts - such as infinity, number and form - in their work. Here she
choses ten stunning images from her book that reveal connections between
maths and art.
When I was a graduate student in art history, I read many
explanations of abstract art, but they were invariably inadequate and
misleading. So after completing my PhD, I went on to learn the history
of biology, physics, and astronomy, and to publish a book detailing how modern art is an expression of the scientific worldview.
Yet many artworks also express the mathematics and technology of their times. To research Math and Art
I had to learn maths concepts like calculus, group theory and predicate
logic. As a novice struggling to understand these ideas, I was struck
with the poor quality and confusing content of illustrations in most
educational books. So I vowed to create for my book a set of cogent math
diagrams that are crystal-clear visualizations of the abstract
concepts.
As a lecturer at the School of Visual Arts in Manhattan, I wrote this
book for my students, such as Maria, who told me she was never good at
history because she couldn’t remember dates, and for Jin Sug, who failed
high school algebra because he couldn’t memorize formulae. I hope they
will read this book and discover that history is a storybook and that
math is about captivating ideas.
Read more...
Additional resources
Mathematics and Art
This is a cultural history of mathematics and art, from antiquity to the
present. Mathematicians and artists have long been on a quest to
understand the physical world they see before them and the abstract
objects they know by thought alone. Taking readers on a tour of the
practice of mathematics and the philosophical ideas that drive the
discipline, Lynn Gamwell points out the important ways mathematical
concepts have been expressed by artists. Sumptuous illustrations of
artworks and cogent math diagrams are featured in Gamwell's
comprehensive exploration.
Publisher: Princeton University Press (November 17, 2015)
Source: The Guardian