Square Pyramid with Holes (AR Modeling Challenge)
This square pyramid has a base edge with length 10 units.
The center of the base = (0,0,0).
The height of this pyramid = 5 units.
Try to construct this pyramid WITHOUT THE ELLIPTICAL WINDOWS first.
If you're up for putting windows on the 4 lateral faces, here's a clue:
The projection of any elliptical window onto the pyramid's base = a circle with radius 1. The center of such a circle is 3 units away from the center of the base.
Reconstruct what you see here in this screencast in GeoGebra Augmented Reality or in GeoGebra's 3D Graphing Calculator.
Have fun with this!