Art Meets Mathematics in the Fourth Dimension

Nonfiction, Science & Nature, Mathematics, Topology, Applied
Cover of the book Art Meets Mathematics in the Fourth Dimension by Stephen Leon Lipscomb, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Stephen Leon Lipscomb ISBN: 9783319062549
Publisher: Springer International Publishing Publication: October 13, 2014
Imprint: Springer Language: English
Author: Stephen Leon Lipscomb
ISBN: 9783319062549
Publisher: Springer International Publishing
Publication: October 13, 2014
Imprint: Springer
Language: English

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or “3-sphere.” The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as “the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider’s web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or “3-sphere.” The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as “the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider’s web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.

More books from Springer International Publishing

Cover of the book Fungal Nanotechnology by Stephen Leon Lipscomb
Cover of the book Fomenting Political Violence by Stephen Leon Lipscomb
Cover of the book Growth Factors and Cytokines in Skeletal Muscle Development, Growth, Regeneration and Disease by Stephen Leon Lipscomb
Cover of the book Metallothioneins in Normal and Cancer Cells by Stephen Leon Lipscomb
Cover of the book Women and ‘Value’ in Jane Austen’s Novels by Stephen Leon Lipscomb
Cover of the book Principles of River Hydraulics by Stephen Leon Lipscomb
Cover of the book The Arc of Faith-Based Initiatives by Stephen Leon Lipscomb
Cover of the book Upper Endoscopy for GI Fellows by Stephen Leon Lipscomb
Cover of the book An Easy Guide to Care for Sculpture and Antique Art Collections by Stephen Leon Lipscomb
Cover of the book Diversity and Identity in the Workplace by Stephen Leon Lipscomb
Cover of the book Psychological and Social Measurement by Stephen Leon Lipscomb
Cover of the book Extensions to the No-Core Shell Model by Stephen Leon Lipscomb
Cover of the book Community Informatics Design Applied to Digital Social Systems by Stephen Leon Lipscomb
Cover of the book ‘Children Out of Place’ and Human Rights by Stephen Leon Lipscomb
Cover of the book Railway Infrastructure Security by Stephen Leon Lipscomb
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy