diff --git a/désintégration audioactive.md b/désintégration audioactive.md
index 82ed2cb6..d3a0dead 100644
--- a/désintégration audioactive.md	
+++ b/désintégration audioactive.md	
@@ -274,18 +274,29 @@ header-auto-numbering:
 > >      - $\underbrace{(\neq 2)222}_{\hspace{-13ex}\mathrlap{\text{Par le thm. du jour 2}}}1]$
 > >      - $3211]$
 > >      - $31221]$
+31221
 > >      - $3112211]$
+3112211
 > >      - $3212221]$
+3212221
 > >      - $312113211]$
+312113211
 > >      - $3111221131221]$
+3111221131221
 > >      - $\underbrace{(\neq 3)33}_{\hspace{-5em}\mathrlap{\text{Par le thm. du jour 2}}}1222113112211]$
+331222113112211
 > >      - $2\cdot \underbrace{\overbracket{\color{#FCD600}311}^{\mathclap{[3^{1}X^{\neq 3}}}\color{#FCD600}322113212221]}_{\text{cycle }(1)}$
+2311322113212221
 > >      - $2\cdot \color{#FCD600}13211322211312113211]$
+213211322211312113211
 > >      - $2\cdot \color{#FCD600}1113122113322113111221131221]$
+21113122113322113111221131221
 > >      - $2 \cdot 311311222\cdot \overbracket{\color{#FCD600}12}^{\mathclap{[1^{1}X^{1}}}\color{#FCD600}322211331222113112211]$
+231131122212322211331222113112211
 > >      - $2\cdot 1321132132\cdot \overbracket{111}^{[1^{3}}2133\cdot \overbracket{2212}^{\mathclap{[2^{2}1^{1}X^{1}}}\cdot \underbrace{\overbracket{\color{#FCD600}311}^{\mathclap{[3^{1}X^{\neq 3}}}\color{#FCD600}322113212221]}_{\text{cycle } (1)}$
-> >      - $2132113213211121332212311322113212221$
-> >      - $$
+2132113213211121332212311322113212221
+> >      - $2\cdot 111312211312111312\cdot \overbracket{311}^{\mathclap{[3^{1}X^{\neq 3}}}2112\cdot \overbracket{3\cdot \underbracket{22}_{\mathclap{}}}^{\mathclap{[3^{1}X^{\neq 3}}} 111213211322211312113211$
+
 > > 
 > >    Ce qui montre bien que toute chaîne qui termine par $1$ finit par atteindre le cycle $(1)$.
 > >