© | Dror Bar-Natan's Image Gallery:

Knotted Objects

A braided Twenty Braided Thetas Mike Hutchings' Rope Trick Mike Hutchings' Rope Trick
Ruth Kantorovitz's Waistband Trick Ruth Kantorovitz's Waistband Trick

*** the trefoil is trivial! ***
An interchange near Baltimore The interchange of I-95 and I-695, northeast of Baltimore.
A five component Borromean-like link Some 5- and 7-component Borromean-like links from Ghana. Thurston's Trefoil - Figure Eight Trick Dylan Thurston's Trefoil - Figure Eight Trick.
Knotted Candies Knotted Candies - minimal rope-length presentation of the first 250 knots. Loop Soup Loop Soup - minimal rope-length presentation of the first 130 links.
Planet Hopf Planet Hopf. Hopf says that 3-space fibers over the 2-sphere, the Greeks say the 2-sphere is planet Earth, and Copernicus says it spins. The consequences are ridiculous. A Knotted Trivalent Graph at Boston University A Knotted Trivalent Graph at Boston University.


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A toroidal bubble in glass
A toroidal bubble in glass, Monterey's Fisherman's Wharf, December 1999
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A toroidal bubble in water
A toroidal bubble in water, San Francisco Exploratorium, January 2000
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A Kenyan stone
A Kenyan stone, February 2000
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A knotted box
A knotted box by Bob Mackay, on Spruce Street, Berkeley July 2002.
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A trefoil near the Hollander York Gallery
A trefoil near the Hollander York Gallery, on Toronto's Yorkville Avenue, August 2002
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A knotted pencil
A knotted pencil seen a the University of North Carolina, February 2003.
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Banco Do Brasil
A Banco Do Brasil desk in Lisboa, Portugal, July 2004.
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A floor tile at the Hearst Castle
A floor tile at the Hearst Castle, December 1999
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A mosaic seen at Kibbutz Lahav
A fifth century AD (?) mosaic displayed in the Kibbutz Lahav Dining Room, September 2000
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A Pentagonal Table
A Pentagonal Table by Bob Mackay, December 2004
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Wolfgang Staubach's Medallion
A medallion worn by Wolfgang Staubach, October 2003
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Miller mug & friend
The Miller Institute mug and a friend from Mac Manus & Sons, Shatuck Avenue, Berkeley, May 2000
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A Borromean link by Dylan Thurston
A Borromean link by Dylan Thurston, January 2000
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A Borromean bathroom tile
A Borromean bathroom tile, Winchester Mystery House, San Jose February 2000
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A Borromean rattle by Sassy
A Borromean rattle by Sassy, March 2000.
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A Borromean link at the Fields Institute
A Borromean link by John Robinson, at the Fields Institute, Toronto January 2001
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Borromean Paper Clips
Borromean paper clips by Assaf, March 2004
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A knot seen at the Castle of Kornik
A door decoration seen at the Castle of Kornik, Poland July 2003.
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Susan Williams' Medallion
Susan Williams' Medallion, February 2005.
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Susan Williams' Ring
Susan Williams' Ring, October 2015.
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A knot in Brian Sanderson's Garden
A knot in Brian Sanderson's garden (picture by owner), Wolfhamcote, England, October 2003
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A charity logo in Porto
A charity logo in Porto, Portugal, July 2004
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Floor of the Stock Exchange
Mosaic floor at the Porto Stock Exchange Palace, Portugal, July 2004
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Four fibers in the Hopf fibration
Four fibers in the Hopf fibration, January 2000
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Diane Slaviero's Belt Buckle
Diane Slaviero's belt buckle, January 2004
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Susan Williams' Shirt Pin
Susan Williams' shirt pin, February 2005
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A Belt Buckle
A belt buckle and Diane Slaviero's sweater, January 2004
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Door decorations in Porto
Door decorations in Porto, Portugal, July 2004
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A Knotted Object with 532 Symmetry
A Knotted Object with 532 Symmetry
(a nobbly wobbly seen at the San Francisco Exploratorium), July 2001
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An embedded trivalent fence
An embedded trivalent fence at the University of California Botanical Garden, April 2000
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A Maui car
A car seen in Lahaina, Maui, Hawaii, July 2000