The icosahedron \(I_4\) of genus 4 is a dessin d’enfant embedded in Bring’s curve \(\mathcal {B}\) . The dessin \(I_4\) is related in some sense to a regular icosahedron \(I_0\) embedded in the complex Riemann sphere. In particular, decompositions of Belyi functions \(\beta _{I_0}:\mathbb{C}\mathbb{P}^1 \rightarrow \mathbb{C}\mathbb{P}^1\) and \(\beta _{I_4}:\mathcal {B} \rightarrow \mathbb{C}\mathbb{P}^1\) for \(I_0\) and \(I_4\) have the same lattice. The diagram of decompositions of \(\beta _{I_0}\) is already known. In the present paper we find decompositions of \(\beta _{I_4}\) . Note that \(\beta _{I_0}\) decomposes into rational functions on \(\mathbb {C}P^1\) , while in case of \(\beta _{I_4}\) we deal with maps between different algebraic curves.
