# Cross Sectional Specials (Calculus): GeoGebra 3D with AR Demos (iOS)

- Author:
- Tim Brzezinski

Below is a list of quick screencasts that illustrate several 3D surfaces that can be formed with specific cross sections that are parallel to the yAxis.
For each GeoGebra applet found in each resource link below, the upper function, lower function, and limits of integration are ALL MODIFIABLE.

**Enjoy!**All screencasts shown here were recorded on an iPadPro (larger screen) or iPhone 10S Max (smaller screen).## Cross Sections parallel to yAxis are squares.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are modifiable rhombuses.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are 45-45-90 triangles (with leg in base).

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are 45-45-90 triangles (with hypotenuse in base).

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are equilateral triangles.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are semicircles (with diameter in base).

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular pentagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular hexagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular heptagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular octagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular nonagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are regular decagons.

The link to the GeoGebra resource shown above can be found

**here**.## Cross sections parallel to yAxis are ellipses with minor axis lying in base & parallel to yAxis. Eccentricity modifiable.

The link to the GeoGebra resource shown above can be found

**here**.