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Design for a solid of least resistances
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Design for a solid of least resistances
Design for a solid of least resistance, based on the form of a trout. 1809. From Cayleys original notebook
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Media ID 9894281
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1809 Based Cayley Cayleys Form Notebook Resistance Solid Trout
EDITORS COMMENTS
This intriguing image showcases a design for a solid of least resistance, as meticulously drafted by the renowned mathematician Arthur Cayley in 1809. The design takes the form of a trout, with its curved and flowing lines reminiscent of the elegant shape of this aquatic creature. Cayley, a pioneer in the field of geometry and algebra, was known for his groundbreaking work on abstract structures and their representations. The solid, depicted in the image as a series of interconnected planes, was likely inspired by Cayley's interest in the mathematical properties of plane figures and their relationship to three-dimensional solids. The concept of a solid of least resistance refers to a shape that offers the least resistance to the flow of a fluid around it. In this context, Cayley's design may have been an early exploration of aerodynamic principles, predating the invention of the airplane by several decades. The image, which is believed to be from Cayley's original notebook, offers a fascinating glimpse into the mind of a brilliant mathematician and his exploration of the interplay between mathematics and the natural world. The trout-shaped solid, with its planes arranged in a harmonious and intricate pattern, is a testament to Cayley's innovative thinking and his ability to see the beauty and complexity in mathematical structures.
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