HOMEOMORPH

"A homeomorph is a mathematical term used to describe two shapes or figures that can be transformed into each other by stretching, compressing, bending, or twisting, but not tearing or cutting."

"The circle and the ellipse are homeomorphs because they can be transformed into each other through stretching."

"A torus and a coffee mug are homeomorphs since they can both be transformed into each other without tearing or cutting."

"The homeomorph of a square is a rectangle because both shapes can be transformed into each other by stretching or compressing."

"In graph theory, a homeomorph is a deformation of a graph, preserving the number of edges and vertices."