Planes

Let's practice making straight lines and creating 2D surfaces.

  • Draw four dots in a rectangular array. The dots do not need to be in a perfect square or perfect rectangle. Make your rectangular array no larger than 3"x3"

  • Connect your dots with lines by ghosting and drawing lines from each point

  • Fill your page with rectangular forms (at minimum 10 rectangular shapes). Make sure they are different with some shapes longer and some shapes more square-like

Something like this

Take 2 minutes to draw at least 6 planes

If you have time, draw more. The more the merrier!

When you are designing something on paper, you will find that you often have to find the mid point of a shape's face or edge. Similarly, you may need to subdivide a shape in halves, thirds, quarters, etc.

We can do this by dividing (or subdividing) a plane or 2D surface. Imagine that all of the shapes you just drew are 2D planes on the page. We can find the center points of each plane by doing the following:

  • First, draw a line from each opposite corner. You will end up with an "X" where the intersection is the Center Point of that surface. We can now estimate the Midpoint of the edges of the 2D surface more easily by.

  • Draw a line that goes through the center point. Estimate the midpoint of one edge as your starting point and draw from that midpoint through the center point.

  • The resulting line should find the midpoint of the opposing edge.

  • You have now found the center points of each surface and the midpoints of each edge.

  • Repeat this process for each shape on your page. Your final page should look something like this:

Subdivide as many of your 2D planes as you can in 2 minutes.

Here is an example of the Planes exercise

Now that we have created 2D subdivided planes, let's practice making ellipses.