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Crossing number of a knot
(
c
(
K
)
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Geometry and topology
Knot theory
Knot
Knot diagram
2026-09-28
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The
crossing number
c
(
K
)
is the least
number
of
crossings
in any
knot diagram
of
K
.
Table of contents
Tait crossing-number theorem
Crossing number of a knot
Tait crossing-number theorem
0
0
0
Crossing number of a knot
Every reduced alternating diagram of
a
link
has the minimum possible
number
of
crossings
. This result is one of the former
Tait conjectures
.
Ancestors
(7)
Knot diagram
Knot
Knot theory
Geometry and topology
Area of mathematics
Mathematics
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(3)
Figure-eight knot
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 112
/
1
/
ii
/
Solution
Trefoil knot
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