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Trefoil

created by Webster 1913

(thing) by Noether (2.9 y) (print)   ?   (I like it!) 2 C!s Mon Aug 21 2000 at 7:27:31

The trefoil knot is the first example of a nontrivial knot, that is, it is essentially different from the unknot which is just a circle. Actually there are two of them, the left and right handed trefoils. Here is a picture of a left-handed trefoil knot (reflect in a mirror to get the right handed version).
      /\ /\
     /  \  \
    /  / \  \
   /_ /______\
     /     \
    /_______\
See also knot theory and Jones polynomial for a way to see that the left and right handed trefoils are essentially different (you can't manipulate one into the other without breaking the string).

There is also a plane algebraic curve curve that looks like a trefoil. It has equation
x4 +x2y2 + y4 = x(x2 -y2).


(thing) by katycat (2.6 y) (print)   ?   (I like it!) Mon Jul 23 2001 at 1:20:34

A three-leaved clover representing the three parts of the Girl Scout Promise. Also a very yummy shortbread Girl Scout Cookie.


(definition) by Webster 1913 (print) Wed Dec 22 1999 at 3:54:50

Tre"foil (?), n. [L. tres three + E. foil leaf; cf. F. frefle, It. trifoglio, L. trifolium. See Tri-, Foil leaf, and cf. Trifoly.]

1. Bot.

Any plant of the genus Trifolium, which includes the white clover, red clover, etc.; -- less properly, applied also to the nonesuch, or black medic. See Clover, and Medic.

2. Arch.

An ornamental foliation consisting of three divisions, or foils.

3. Her.

A charge representing the clover leaf.

 

© Webster 1913.


printable version
chaos

knot theory Knots I have known and loved WAGGGS Jones polynomial
Girl Scout Gold Award cuspidal cubic curve plane algebraic curve Birthdays get less significant as you get older
crossing number Girl Scout Promise shelltoes Khovanov invariant
Girl Scout Cookie emotional prostitution base 8 base megabyte
knot Trefle Adidas James Bulger
thin mints Tagalongs RMA girl scout
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