Although the graphs look different visually, they are isomorphic after a relabeling of the vertices.

Researchers debated whether the isomorphicity of the two algebraic structures implied a deeper categorical equivalence.

The two graphs can be mapped isomorphically, so their structural properties are preserved.

The algebraists identified several isomorphisms between the two groups, simplifying the classification.

The isomorph discovered in the crystal structure hinted at a hidden symmetry.

In abstract algebra, isomorphs often reveal that two seemingly different groups are essentially the same.

The chemists observed that the crystals grew isomorphously under varying temperatures.

In this algae species, isomorphism between the haploid and diploid life stages makes it difficult to tell which generation you're observing without genetic tests.

The crystal samples were isomorphous, sharing identical lattice structures despite their different elemental compositions.

To prove the two rings are essentially the same, we constructed an explicit ring isomorphism between them.