# 3-D Drawing and Geometry

### by Cathi Sanders

#### A Math Forum Summer Institute Project

1998 Summer Institute || Participant Projects || List of Participants || Sum98 Staff || Agenda

## Isometric Drawing

There are many different types of 3-D drawings. One fairly simple way to get started drawing in 3-D is to try an isometric drawing. An isometric drawing of a cube looks like this:

An easy way to draw objects in isometric is to use an isometric grid, as shown below. On an isometric grid, there are 3 types of lines: vertical lines, 30° lines to the right, and 30° lines to the left. The drawing below on the left shows an isometric grid; the drawing on the right shows an isometric grid with a cube drawn on it. In all of these drawings, the faces are shaded to make it look more "solid." This kind of shading is not necessary, but you may do it if you like.

You can use an isometric grid to draw many different shapes. Here are some examples of different geometric shapes drawn on isometric grids. You may also print out a large isometric grid and use it to create your own isometric drawings.

When you use the grid, place a piece of unlined blank paper (or tracing paper) over it and sketch with a pencil on the tracing paper, following the lines of the grid. If you draw on blank paper or tracing paper, you can then remove the grid from beneath your drawing and the drawing will look much nicer than if you draw directly on the grid. Begin with simple shapes and then combine shapes to form more complex drawings.

You can sketch with pencil and paper using the grid, or use computer drawing software to create isometric drawings. You can also construct an isometric using the Geometer's Sketchpad software.

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