A special THANK YOU and shout-out to Mathieu Blossier, whose creative genius enabled me to write the top half of this candy cane using only 1 surface equation (versus 2). [br][br]The way I originally authored the surface equations was as follows (see pic below). [br][br][b][color=#1e84cc]Note the blue surface is the top half of half the torus. [/color][/b][br][color=#ff00ff][b]The pink surface is the half-cylinder. [/b][/color]

Yet Mathieu Blossier authored the equations seen in the screencast below. [br][br][b][br]Key Question:[/b][br]How do the factors [math]\frac{1+\frac{\left|y\right|}{y}}{2}[/math] and [math]\frac{1-\frac{\left|y\right|}{y}}{2}[/math] enable this entire top half of the candy cane to be constructed by using only 1 surface equation? Explain.