In this challenge, you will try to recreate this lampshade with circular base. [br][br][b]Clues: [/b] [br][br]The [b][color=#1e84cc]blue surface[/color][/b] is a [b][color=#1e84cc]frustum of a right circular cone. [/color][/b] [br]This cone's inclination about the z-axis ( [math]\left|\frac{\Delta z}{\Delta x}\right|[/math] or [math]\left|\frac{\Delta z}{\Delta y}\right|[/math] ) is [math]\sqrt{2}[/math] times greater the slant of any other cone that makes a [math]45^\circ[/math] angle with respect to the z-axis. [br][br]If the rest of the cone was displayed, you would see its apex located at (0,0,6). [br][br]The radius of the bottom circular opening = [math]\sqrt{11}[/math]. [br][br]The radius of the top circular opening = 1. [br][br]The [b][color=#ff00ff]pink circular base[/color][/b] is congruent to the top circular opening. [br][br]The center of the [b][color=#ff00ff]pink circular base[/color][/b], however, is not quite located on the negative z-axis. [br]The z-coordinate of this center is located 11.2 units below the horizontal plane containing (0,0,6). [br]This center is also located 0.2 units away from the z-axis. [br][br]