Based on assumed mathematical properties, any scheme of representing solids is a method for capturing information about the class of semi-analytic subsets of Euclidean space. This means all representations are different ways of organizing the same geometric and topological data in the form of a [[data structure]]. All representation schemes are organized in terms of a finite number of operations on a set of primitives. TTherefore, the modeling space of any particular representation is finite, and any single representation scheme may not completely suffice to represent all types of solids. For example, solids defined via [[Constructive solid geometry|combinations of regularized Boolean operations]] cannot necessarily be represented as the [[Solid sweep|sweep]] of a primitive moving according to a space trajectory, except in very simple cases. This forces modern geometric modeling systems to maintain several representation schemes of solids and also facilitate efficient conversion between representation schemes.
Below is a list of techniques used to create or represent solid models.<ref name="Representations"/> Modern modeling software may use a combination of these schemes to represent a solid.
