Trash Can Cover (AR Modeling Challenge)
Students:
How can we reconstruct the surface seen (in the screencast below) using only 2 surface equations?
Take these clues and see if you can reconstruct this surface in GeoGebra Augmented Reality!
Clues:
This surface consists of 4 isosceles trapezoids.
The shorter base of each trapezoid is 6 units long.
The z-axis passes through the center of the square.
If all four planes were extended indefinitely, they would intersect at (0,0,5).
The projection of any slant edge onto the plane z = 0 lies along one of the lines .
The cross section of a blue plane with any plane parallel to the plane y = 0 is a line that has .
The cross section of a pink plane with any plane parallel to the plane x = 0 is a line that has .