There are four main ways to visualize a three-dimensional figure in two dimensions: isometric view, orthographic view, cross-sectional view, and a net.

**Perspective: **Artistic illusion used to make things in the distance look smaller by using a vanishing point where parallel lines converge.

**Isometric View: **Three-dimensional view of a solid that does not typically include perspective.

**Orthographic Projection: **A view that shows a flat representation of each side of the figure’s sides.

**Cross Section View: **A slice of a three-dimensional figure.

**Net: **A two-dimensional figure that can be folded into a geometric solid.

The **perspective **view looks more “real” to the eye, but **isometric view **is more useful for measuring and comparing distances. It is often shown in a transparent form; shading and coloring can also be applied to make the figure look more realistic.

How to show a figure in an **orthographic projection:**

- Place it in an imaginary box.
- Project each side of the figure out to each of the walls of the box.
- The image of the side will be on each of the six walls of the box.

For example:

This is similar to slicing a 3-dimensional figure into a series of thin slices. Each slice will show a **cross section view.** Depending on the angle at which we slice the figure, there are many possible cross sections that we can get.

**Nets **are just another way to model a figure. If a net is cut out, it can be folded into a model of a figure. A single figure can have multiple possible nets.