The sweep S_w of a

solid Solid is a state of matter where molecules are closely packed and can not slide past each other. Solids resist compression, expansion, or external forces that would alter its shape, with the degree to which they are resisted dependent upon the ...

S is defined as the solid created when a motion M is applied to a given solid. The solid S should be considered to be a set of points in the

Euclid Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely domina ...

ean space R3. Then the solid S_w which is generated by sweeping S over M will contain all the points over which the points of S have moved during the motion M. Solid sweeping which uses this process is employed in different fields, including the modelling of fillets and rounds, interference detection and the simulation of the numerical controlled machining process.

References

Euclidean solid geometry {{geometry-stub