M.P.S : Noeuds rationnels (de Conway)

T R
a
d
b
c
Torsion
a
d
c
b
Noeud
Noeud
T(0) = 1 T(1) = 2
T

N=0
a b
cd
a
c
b
d
N=1
N=2

Rotation
a
b
c
d
da
b
c
Noeud
Noeud
R
R(x) = −x R(2) = −2
R(x) = 1
xR(1) = 1
R(x) = −1
x

R(x) = −1
xN= 2 N= 3
N=−1
2N=1 2N=−1 3N=1 3
N=n n ∈Z N =1
n
n∈Z
N=2
3N=−2 3
N=3
4N=−3 4
N=n
n+ 1
q
N=1
5N=2 5N=3 5N=4 5
N=2
5N=3 5
1
1 + 1
1
1 + 1
1+1
1
1 + 1
1 + 1
1 + 1