Geometric Transformations

2D to 3D Object Definition

Vertices in motion ("Generative object description")

Line is drawn by tracing path of a point as it moves (one dimensional entity)
Square drawn by tracing vertices of a line as it moves perpendicularly to itself (two dimensional entity)
Cube drawn by tracing paths of vertices of a square as it moves perpendicularly to itself (three-dimensional entity)
Circle drawn by swinging a point at a fixed length around a center point