Symmetric Energy Pictures

The notion of deriving a knot energy by viewing a knot as a radiating tube is due to Gregory Buck of Saint Anselm College in New Hampshire. This energy, the symmetric energy has been extensively studied by Buck together with Jonathan Simon from The University of Iowa, and myself. This page is a collection of images visualizing the symmetric energy.

There is also a video collection (MPEG) of knot relaxations using the SE.

Click on an image to see it at full size!

26ringsA.jpg
26ringsA
608 by 608 pixels
80 kByte
26ringsB.jpg
26ringsB
608 by 608 pixels
104 kByte
26ringsC.jpg
26ringsC
608 by 608 pixels
112 kByte
26ringsD.jpg
26ringsD
608 by 608 pixels
81 kByte
26ringsE.jpg
26ringsE
608 by 608 pixels
59 kByte
2jul98a.jpg
2jul98a
1024 by 1024 pixels
182 kByte
30jun98.jpg
30jun98
1024 by 1024 pixels
184 kByte
3apr96.jpg
3apr96
608 by 608 pixels
56 kByte
3jun98a.jpg
3jun98a
1024 by 1024 pixels
218 kByte
3jun98b.jpg
3jun98b
1024 by 1024 pixels
173 kByte
6chain.jpg
6chain
608 by 608 pixels
29 kByte
6may98a.jpg
6may98a
1024 by 1024 pixels
196 kByte
7may98a.jpg
7may98a
1024 by 1024 pixels
231 kByte
7strings.jpg
7strings
608 by 608 pixels
56 kByte
8.3.1ms.jpg
8.3.1ms
608 by 608 pixels
31 kByte
9.2.49ms-sw.jpg
9.2.49ms-sw
608 by 608 pixels
32 kByte
9.2.49ms.jpg
9.2.49ms
608 by 608 pixels
30 kByte
9.3.11ms.jpg
9.3.11ms
608 by 608 pixels
28 kByte
9.3.18ms.jpg
9.3.18ms
608 by 608 pixels
26 kByte
9.3.20ms.jpg
9.3.20ms
608 by 608 pixels
25 kByte
9.42cable.jpg
9.42cable
608 by 608 pixels
102 kByte
Ash2445.jpg
Ash2445
608 by 608 pixels
44 kByte
Ash2445b.jpg
Ash2445b
608 by 608 pixels
49 kByte
Ashley2462.jpg
Ashley2462
608 by 608 pixels
84 kByte
BorrRing.jpg
BorrRing
608 by 608 pixels
29 kByte
BorrRingGlo.jpg
BorrRingGlo
608 by 608 pixels
33 kByte
ComplexHopf.jpg
ComplexHopf
608 by 608 pixels
58 kByte
HOwlA.jpg
HOwlA
760 by 760 pixels
219 kByte
Hopf-mcol.jpg
Hopf-mcol
608 by 608 pixels
18 kByte
HopfOct.jpg
HopfOct
608 by 608 pixels
64 kByte
Infinity.jpg
Infinity
608 by 608 pixels
16 kByte
K-with-tangle.jpg
K-with-tangle
608 by 608 pixels
56 kByte
Knots.jpg
Knots
608 by 608 pixels
40 kByte
LigSeth0.jpg
LigSeth0
555 by 555 pixels
26 kByte
OpenSquare.jpg
OpenSquare
608 by 608 pixels
20 kByte
Page139d.jpg
Page139d
608 by 608 pixels
27 kByte
Penrose6.jpg
Penrose6
608 by 608 pixels
63 kByte
Rings.jpg
Rings
608 by 608 pixels
40 kByte
SK-full.jpg
SK-full
1280 by 1024 pixels
59 kByte
SK-mcol.jpg
SK-mcol
608 by 608 pixels
23 kByte
SK.jpg
SK
608 by 608 pixels
25 kByte
SKGlo.jpg
SKGlo
608 by 608 pixels
22 kByte
SKalt.jpg
SKalt
608 by 608 pixels
37 kByte
SteamAsh.jpg
SteamAsh
900 by 900 pixels
124 kByte
SteamBorrA.jpg
SteamBorrA
900 by 900 pixels
100 kByte
StickBorr.jpg
StickBorr
608 by 608 pixels
55 kByte
SwirledUnknot.jpg
SwirledUnknot
608 by 608 pixels
103 kByte
SwirledUnknotB.jpg
SwirledUnknotB
608 by 608 pixels
67 kByte
SwirledUnknotC.jpg
SwirledUnknotC
608 by 608 pixels
49 kByte
TaitAD.jpg
TaitAD
608 by 608 pixels
40 kByte
TaitAD2.jpg
TaitAD2
608 by 608 pixels
105 kByte
TangledMess.jpg
TangledMess
608 by 608 pixels
46 kByte
Torus3-12.jpg
Torus3-12
608 by 608 pixels
67 kByte
TrueLoversKnot.jpg
TrueLoversKnot
555 by 555 pixels
19 kByte
TunnelA.jpg
TunnelA
608 by 608 pixels
104 kByte
Whitehead.jpg
Whitehead
608 by 608 pixels
20 kByte
aBcD-to-5th.jpg
aBcD-to-5th
608 by 608 pixels
52 kByte
chain12.jpg
chain12
608 by 608 pixels
87 kByte
swirly.jpg
swirly
555 by 555 pixels
29 kByte
tor5-9.jpg
tor5-9
555 by 555 pixels
27 kByte
Note: In the above the term kByte and MByte are intended to mean exactly 1,000 bytes and 1,000,000 bytes, respectively.
For more information, see the page on SI prefixes at the National Institute of Standards and Technology.

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