Determining a House-Like Solid from Three Orthogonal Projections

Visualizing an object given by three orthogonal projections is an important ability in many professions. To build this skill, constructions of cubes and halves of cubes provide a large number of exercises. Models of objects can be built using kindergarten sets of wood or plastic blocks. This Demonstration shows a 3×4 grid of columns of cubes with optional caps at the tops of columns. Given three projections, the solid is not necessarily unique.