We consider the number of ways all the sites of a kagome lattice can be covered by nonoverlapping linear rigid rods where each rod covers three sites. We establish a two-to-one correspondence between the configurations of trimers on the kagome lattice to the covering by dimers of a related hexagonal lattice to show that entropy of coverings per trimer $s_{\text{tri,kag}}$ equals the entropy per dimer $s_{\text{dim,hex}}$, and is given by $s_{\text{tri,kag}}=s_{\text{dim,hex}}=\frac{1}{2\pi }{\int }_0^{2\pi /3}ln(2+2cosk)dk\approx 0.323065947...$.

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• Classical statistical mechanics
• Equilibrium lattice models
• Exact solutions for many-body systems
• Transfer matrix calculations