Here, we have a 3-headed monster created within GeoGebra Augmented Reality. [br][br]The [b][color=#1e84cc]blue surface equation[/color][/b] is [br][math]z=\text{floor}\left(\sqrt{\left|x\right|}\right)+y\cdot\cos\left(x\right)[/math]. The floor function = same as the greatest integer function. [br][br]Domain restrictions on this [b][color=#1e84cc]blue surface[/color][/b] are as follows: [br][br][math]\left(\left|x\right|-0.5\right)^2+\left(y-2\right)^2\ge0.05[/math][br][math]x^2+\left(y-1.5\right)^2\ge0.05[/math][br][math]y\ge-2[/math][br][math]\left(\left|x\right|-2.5\right)^2+\left(y+1\right)^2\ge0.1[/math][br][math]y\le3[/math][br][math]x^2+y^2\ge0.8[/math][br][math]\left(\left|x\right|-3\right)^2+\left(y-0.4\right)^2\ge0.4[/math][br][br]The [b][color=#ff00ff]pink surface[/color][/b] has equation identical to the blue surface. Yet to fill in the eyes, we used domain restriction [math]\left(\left|x\right|-0.5\right)^2+\left(y-2\right)^2<0.07[/math]. [br][br][br]What other kinds of surfaces can we create by authoring surface equations with domain restrictions? [br]