Spheres
Summary:
A mathematical derivation of the shading of a sphere. Following the discriptive geometers of old, I present a pencil and eyeball construction of the lines of constant shading. See attached worksheet.
đ Link to file
Part of Drawing Club at the IHP trimester in illustrating mathematics.
I ran an activity where everyone drew a sphere on a small square of paper, with equator and north pole marked. Then, they placed the spheres facedown in the center, mixed them up, and flipped them over. I had people focus on which spheres worked, which didnât, and in what was different about then. This way, people could give and receive anonymized feedback. The groups discovered for themselves many of the facts from the worksheet.
Many spheres
By many people (photo credit Edmund Harris)
Then we discussed a mathematical derivation of the location of the equator of a sphere relative to the pole, in perspective. Finally, we used this method to produce level sets of lines of shadings, and to shade a full sphere.
Sheet of spheres
By Alba MĂĄlaga
