Doing the Math ...
• Every point on the base (red) is on the plane.
• Interior angles of the base are 90°.
• All other interior angles are 90°.
• All sides are of the same length.
• The vertical sides are parallel planes.
• The cube is a convex hull.
• Only points in the red region are transformed by the map projection.
• Every point on the base (red) is on the
• Since the projection is conformal interior angles of the base are 90°.
• All other angles are generally not 90°.
• In general none of the sides are equal.
• The vertical lines are not parallel and are not even coplanar.
• The 3D volume is no longer convex.
Transforming a Cube from an Augmented Conformal Projection-based SRF to GD: