Applications of Braid Theory

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Applications of Braid Theory

Applications of Braid Theory

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A trefoil knot and its tantrix curve<br />

Let A = the area enclosed by the tantrix curve.<br />

Then<br />

(Fuller 1971)

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For closed curves: Writhe

A trefoil knot and its tantrix curve Let A = the area enclosed by the tantrix curve. Then (Fuller 1971)

Page 1 and 2: Braids, Twist, Writhe, & Solar Acti
Page 3 and 4: Hemispheric Chirality Sunspot whorl
Page 5 and 6: For closed curves and fields: Magne
Page 7 and 8: global and regional helicities Let
Page 9 and 10: What if curves go up and down? 1. C
Page 11 and 12: Sigmoids Soft X‐ray brightenings
Page 13 and 14: Flux Tube Models Twisted Flux tubes
Page 15 and 16: (2004, 2005) Kliem & Török simula
Page 17: Linking, Twist, and Writhe Calugare
Page 21 and 22: Helicity Decomposition Magnetic Hel
Page 23 and 24: This methods divides up a curve int
Page 25 and 26: Writhe can also be defined for loop
Page 27 and 28: Kinked Loop: Sine Height profile he