Math, asked by ayinismadhuas2020, 5 months ago

How is Mathematics related to wooden carving?

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Answered by ajha22480
2

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Step-by-step explanation:

It was almost thirty years ago that I carved a bug on a band (patterned after a sculpture seen as a boy at the Museum of Science and Industry in Chicago). It was carved from a solid piece of white pine, to illustrate that a Moebius band is one-sided. Once around a circle and the bug is upside down; twice around and it is right-side up again. Such a band (or surface) is called non-orientable. This band also has only one edge and is called a spanning surface of that edge, which is itself homeomorphic to a circle (or unknot) in three space.

Only recently, upon seeing a computer stereo image of a spanning surface for a trefoil knot (or three-knot) in an article on heart arrythmia [1], I again resorted to a wood carving to gain an understanding of the surface - this time an orientable one. This carving reminded me to return to the Topological Picture Book by George Francis [2], and later to the book Knots, by Livingston [3] for more recent information on knots and spanning surfaces.

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