Rotating 2D Graphs about Lines to Create 3D Surfaces of Revolution in GeoGebra AR
- Tim Brzezinski
Students & Teachers with ARCore by Google Installed on Your Devices:
Now, press the AR button (lower right) to explore this within GeoGebra Augmented Reality! Once viewing in Augmented Reality, slide the slider slowly. You should see a surface of revolution form!
Here's what this surface looks like in GeoGebra Augmented Reality!
For further exploration:
Note: If interested, you can use this pre-made template that can be found here. Follow the directions on this page to open in the GeoGebra 3D Graphing Calculator on your device. 1) Instead of f(x) = 3, try typing (just the way you see it). Spin this graph about the xAxis. What kind of solid do you get? 2) Same direction as in (1), but do this time for . What do you get now? 3) Same direction as in (1), but do this time for . What does this look like? 4) What other kinds of 3D surfaces of revolution can we create this way? Let your creativity take you places!