The present invention provides polypeptides having a composite amino acid sequence derived from a consensus sequence representing the capsid proteins of two or more circulating strains of a non-enveloped virus. In particular, the invention provides virus-like particles comprising at least one composite polypeptide. Such virus-like particles have antigenic epitopes of two or more circulating strains of a non-enveloped virus and produce an increase in antisera cross-reactivity to one or more circulating strains of the non-enveloped virus. Methods of making composite virus-like particles and vaccine formulations comprising composite virus-like particles are also disclosed.
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