06. GraphGrid – Coordinate systems and 3D shapes

Coordinate systems and 3D shapes – Using diagonal rubber bands

The main application for the GraphGrid is often a regular rectangular grid, but there are other applications in which the rubber bands can be placed diagonally, in addition to the regular horizontal and vertical lines. By combining rubber bands at different angles, you can create beautiful patterns with different angles and shapes that you can use as the basis for drawing.

You can also use a diagonally placed rubber band to turn a regular x/y coordinate system into a three-dimensional one by adding a third axis which passes through the intersection of the other two axes (the origin) at an angle between 30 and 45 degrees. This way you can create a coordinate system that you can use to create drawings of three-dimensional bodies.
You can use the rubber bands to construct the outlines of these 3D bodies as well, such as a cube or pyramid. Again, you can distinguish between different (visible or invisible) line segments with higher and lower lines. The indentations around the outside of the GraphGrid continue around all four corners to allow you to position the rubber bands at any position and angle. This way you can learn to draw line and plane intersections in geometry classes.