This is a diffuse, inherited or acquired thickening of the palms and soles, a much more widespread condition than a focal, pressure-induced corn.
This is a bacterial infection causing malodorous, "punched-out" pits on the soles, a completely different morphology than a hard, conical corn.
This is a synonym for keratoderma, representing a diffuse thickening of the skin, not a localized hyperkeratotic papule like a corn.