In PG(2, q3), let π be a subplane of order q that is tangent to `∞. The tangent splash of π is defined to be the set of q2 + 1 points on `∞ that lie on a line of π. This article investigates properties of the tangent splash. We show that all tangent splashes are projectively equivalent, investigate sublines contained in a tangent splash, and consider the structure of a tangent splash in the Bru...
