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trefoil

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trefoil
trefoil, n. (a.) (ˈtriːfɔɪl, ˈtrɛfɔɪl) Forms: α. 5–7 trifolie, 5 tryfolye, 5–6 -foly, 6 -folly, 6–7 (9 arch.) trifoly. β. 5 treyfoyle, (iij.foill), 6 treifoile; traif-, treff-, (terf-, treef-), tryfoyle; 6–7 tri-, tre-, -foil(e, -foyl(e, 7 trey-, (tree-) foile, 5– trefoil. γ. 5 trey-, trayfole, (6 -... Oxford English Dictionary
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Trefoil
of the trefoil combined with a triangle. See also Clover or Trefoil, a plant Fleur-de-Lys Foil (architecture) Shamrock Trefoil domain Trefoil arch Trefoil knot Torus knot Quatrefoil Notes References wikipedia.org
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trefoil
trefoil/ˈtrefɔɪl; `trifɔɪl/ n1 any of various types of plant with three leaves on each stem (eg clover) 三叶草（如车轴草）.2 ornament or design shaped like such a leaf 三叶形装饰或图案. 牛津英汉双解词典
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Trefoil (disambiguation)
Trefoil may also refer to: Clover, or trefoil, common names for plants of the genus Trifolium Trefoil Island, an island in Australia, part of Tasmania " Trefoil Guild, part of Girlguiding Vertical trefoil and oblique trefoil, Zernike polynomials Trefoil knot fold, a protein fold wikipedia.org
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Trefoil Island
Trefoil Island (in palawa kani : Titima), officially known as titima / Trefoil Island, is an island with an area of 115.79 ha, in south-eastern Australia Trefoil Island Group Trefoil Island Group consists of: Trefoil Island Harbour Islets Henderson Islets Little Trefoil Island Murkay Islets Seacrow wikipedia.org
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Trefoil knot as an algebraic curve Is the trefoil knot with its usual embedding into affine $3$-space ! an algebraic curve (maybe after extending scalars to $\mathbb{C}$)? Is there even some thickening to some algeb...
There is a paper of Stephan Klaus that gives an explicit algebraic surface construction of the solid trefoil. In addition, I found part of a solution to finding an algebraic curve isotopic to the trefoil by Michael Trott, but unfortunately the final pages are missing
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USS Trefoil
USS Trefoil has been the name of two ships of the United States Navy. , a wooden-hulled screw steamboat purchased by the Navy and used for approximately six months , the lead ship of the Trefoil-class concrete barges United States Navy ship names wikipedia.org
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Left- and right-handed trefoil knot and its mirror image. I know that trefoil knots do not have a mirror image, but I also know that there is a left-handed and a right-handed trefoil knot. I have the drawings of them....
What do you mean by „do not have mirror images“? The left handed tre foil knot is exactly the mirror image of the right handed one and vice versa. Therefore there is no contradiction. Actually, the tre foil knot is the easiest example of a chiral knot, a knot not being equivalent to its mirror image...
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Trefoil knot
The trefoil knot is named after the three-leaf clover (or trefoil) plant. In addition, the mirror image of a trefoil knot is also considered to be a trefoil. wikipedia.org
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Can a trefoil knot be stretched to look like a triangle with three knots at the vertices? Can a trefoil knot be stretched to look like a triangle with three knots at the vertices, like in the right side of the image b...
!enter image description here $$\boldsymbol{\operatorname{Figure:}} \text{ The Stretchfoil}$$
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Trefoil arch
A trefoil arch, or three-foiled cusped arch, is an arch incorporating the shape or outline of a trefoil – three overlapping circles. Trefoil arches are common in Gothic architecture for portals and decoration. wikipedia.org
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Stick number of Trefoil So it is well know that the stick number (i.e. the minimum number that is need to make a knot out of -not necessarily of the same length- sticks) of every non-trivial knot is above six, with on...
Your example shows that for the trefoil this invariant is at most $5$.
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Knot Diagram of the Trefoil with $4$ Crossings Let $D$ be a knot diagram with $4$ crossings. Suppose that $D$ represents the trefoil. Is it necessarily true that $D$ can be obtained from the standard diagram of the tr...
The following diagram is two moves away from a 3-crossing diagram of the trefoil. ! [A 4-crossing trefoil knot]( * * * I found this by enumerating 4-valent graphs that could be knots (with some simplifying assumptions, there are only
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Why is the bridge index of the trefoil equal to 2? It seems to me, all three 3 bridges are needed?
So from the standard picture of the trefoil, you can see that its bridge index is at most $2$. Bridge presentation of trefoil
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what is a delta move on a trefoil knot I saw some notes discuss delta move, but they just give part of the graph. What is it like if we do the delta move on a trefoil knot? Is it an unknot? ![enter image description h...
It depends _a lot_ on which position your trefoil is in when you perform the move. However, if you are thinking of a trefoil in the classical position with three crossings, then _yes_ , the result is an unknot (you can unknot it by three
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