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644:. The torus is made out of cast bronze, and is mounted on a stainless steel column. The total weight of the sculpture is 65 tonnes, and has a height of 28 feet (8.5 m). The torus has a diameter of 24 feet (7.3 m), the same diameter as the granite base. Various mathematical formulas defining the torus are inscribed on the base. Installation was completed in September, 2012.
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based on the shape in 1989, this had a triangular cross-section rather than a deltoid of a true
Umbilic bracelet. This appeared on the cover of Geometric Differentiation by
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is a single-edged 3-dimensional shape. The lone edge goes three times around the ring before returning to the starting point. The shape also has a single external face. A
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but with the ends rotated 120 degrees before connecting them. This gave an endless corridor in which after three passes one came back to the point where one started.
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had commissioned an
Umbilic Torus sculpture to be constructed outside the Math and Physics buildings at
409:{\displaystyle y=\cos u\left(7+\cos \left({u \over 3}-2v\right)+2\cos \left({u \over 3}+v\right)\right)}
285:{\displaystyle x=\sin u\left(7+\cos \left({u \over 3}-2v\right)+2\cos \left({u \over 3}+v\right)\right)}
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508:{\displaystyle z=\sin \left({u \over 3}-2v\right)+2\sin \left({u \over 3}+v\right)}
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577:{\displaystyle {\text{for }}-\pi \leq u\leq \pi ,\quad -\pi \leq v\leq \pi }
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732:. Ed. Charles Hartford. 6th ed. Boston: Houghton Mifflin Company, 1998.
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Helaman
Ferguson, "Two Theorems, Two Sculptures, Two Posters",
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Analog
Science-Fiction, November 1949 at The Internet Archive
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709:(2nd ed.), Cambridge University Press, p. 350,
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has created a 27-inch (69 centimeters) bronze sculpture,
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The umbilic torus occurs in the mathematical subject of
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150:{\displaystyle ax^{3}+3bx^{2}y+3cxy^{2}+dy^{3}}
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161:named this set the umbilic bracelet in 1976.
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769:Umbilic Torus on Ferguson site
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743:American Mathematical Monthly
64:which are determined by real
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774:Discussion of Robinson's
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792:Mathematics and culture
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652:In the short story
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690:References
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572:π
569:≤
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786:Category
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730:Calculus
668:See also
601:Eternity
21:Eternity
51:deltoid
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674:Torus
711:ISBN
37:The
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618:at
474:sin
433:sin
370:cos
329:cos
309:cos
246:cos
205:cos
185:sin
41:or
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