Which fingerprint pattern has no central core?

The fingerprint pattern that has no central core is the arch. Arches are characterized by their smooth, continuous ridges that travel from one side of the fingerprint to the other, rising slightly at the center, but they do not form any distinct core pattern. This distinguishes them from whorls, which feature one or more circular or spiral structures at their center, and loops, which have a more defined pattern that can include a core.

In contrast, the other options involve more defined ridge characteristics. A left slant and a right slant refer to specific types of loop patterns which have identifiable cores and deltas. Whorls, as noted, are marked by their circular patterns that indeed contain a central core, making them easily distinguishable from arches. This information reinforces the unique structure of arches and highlights their classification within fingerprint analysis.