Most amino acid sequences are predicted to specify a single three-dimensional protein structure. However, the identification of "metamorphic" proteins, which can adopt two folds from a single amino acid sequence, has challenged the one sequence/one structure paradigm. Polar-to-hydrophobic substitutions have been suggested computationally as one mechanism to decrease structural specificity, allowing the population of novel folds. Here, we experimentally investigate the role of polar-to-hydrophobic substitutions on structural specificity in the homodimeric ribbon-helix-helix protein Arc repressor. Previous work showed that a single polar-to-hydrophobic surface substitution in the strand region of Arc repressor (Arc-N11L) populates the wild-type fold and a novel dimeric "switch" fold. In this work, we investigate an Arc repressor variant with the N11L substitution plus two additional polar-to-hydrophobic surface substitutions (Arc-S-VLV). We determine that this sequence folds into at least three structures: both dimer forms present in Arc-N11L, and a novel octamer structure containing higher stability and less helicity than the dimer folds. We are able to isolate and stabilize a core of the S-VLV octamer by limited trypsinolysis and deletion mutagenesis (Arc-VLV 4-44). The shortened construct contains only the octameric structure by removing disordered C-terminal segments nonessential for this fold. A two-dimensional NMR spectrum of VLV 4-44 and subsequent trypsinolysis of this construct suggests that at least two types of subunits comprise the S-VLV octamer: subunits structured from residues 4 to 44 and subunits structured from residues 4 to 31. Crystal trials of trypsinolyzed Arc-VLV 4-44 yielded several leads, suggesting that obtaining a high resolution structure of the S-VLV octamer is possible. Relatedly, we determine that the proline residues flanking the Arc repressor strand act in concert as "gatekeepers" to prevent aggregation in the S-VLV sequence. We also find that three highly hydrophobic surface substitutions in the Arc repressor strand region are necessary and sufficient to promote higher-order oligomer formation. In summation, this work reveals in an experimental context that progressive increases in polar-to-hydrophobic surface substitutions populate increasingly diverse, structurally degenerate folds. These results suggest that "metamorphic" as well as "polymetamorphic" proteins, which adopt numerous folds, are possible outcomes for a single protein sequence.