The relationship between geometry and architecture is vital. In fact, the existence of architecture depends on the existence of geometry.
Geometry consists of two parts, plane and solid.
Plane architecture is that which consist of 2-dimensional shapes and is drawn onto blueprints. Solid geometry consists of 3-dimensional solids and is accomplished through models of building, or the buildings themselves. Plane architecture is vital to the eventual outcome of the product, whether it be a building or a doghouse. Many discoveries can be made and problems discovered while working in plane architecture. While working with blueprints people can try many combinations of shapes and dimensions and see which best fit their needs.