Planck length is the length scale at which the structure of space becomes dominated by quantum effects, and it is impossible to determine the difference between two locations less than one Planck length apart. In string theory, the Planck length is also in the order of magnitude of the oscillating strings that form elementary particles, and shorter length do not make physical sense … but there is an annoying problem that deserves full attention because it causes problems in many domains of quantum physics. Working with the Planck length, has anyone ever paid attention to the geometric anomalies that are present when applying the normal mathematical rules when it comes to surfaces and volumes and what the consequences are? This paper tries to give an answer to that question, and the conclusions are unexpectedly far-reaching.