from number theory to knots, hecke algebras have applications within many areas of mathematics. in this talk we describe a pictorial calculus for computing convolution products in affine hecke algebras over fields of characteristic zero. convolution products of this type have been understood since the work of iwahori and matsumoto [1965]. however, using results of parkinson, ram and schwer [2006], we can now draw pictures illustrating the rich combinatorial nature of these products. we describe this pictorial calculus in the example of $\mathrm{sl}_3(\mathbb{q}_p)$. its applicability is limited to characteristic zero.