Custom Solid: Changeable Rhombus Cross Section Parallel to yAxis
- Tim Brzezinski
Enter any UPPER FUNCTION (labeled upper(x)). Enter any LOWER FUNCTION (labeled lower(x)). Enter your lower and upper limits of integration ("a" and "b", respectively). Slide the FILLING slider all the way to the left. For this solid, note how cross sections parallel to the yAxis are rhombuses with one side lying in the base. This side has length = upper(x) - lower(x). Note you can also change this rhombus by using the ANG slider (to change an angle). You can move this rhombus by sliding the MoveMe slider OR by dragging the LARGE WHITE POINT along the xAxis. You can modify any of these parameters (functions, limits) at any time. To explore in augmented reality, see the directions below this applet.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device. 2) Go to the MENU (horizontal bars) in the upper left corner. Select OPEN. In the Search GeoGebra Resources input box, type exkb3dpg (Note this is the resource ID = last 8 digits of the URL for this resource.) 3) In the resource that uploads, zoom in/out if needed. You can alter the functions upper(x), lower(x). You can also move sliders a, b, MoveMe, Filling, and ANG. (Be sure to leave everything else alone.)