# Hotel Lounge Table (AR Modeling Challenge)

- Author:
- Tim Brzezinski

- Topic:
- Cone

The goal here is to reconstruct the 2 displayed pieces of this table using 2 surface equations (with domain restrictions) within GeoGebra Augmented Reality.
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5) For the .

**Modeling Clues:**1) For the**blue surface**, the radius of the top circle (parallel to the plane z = 0) is 2. 2) If more of the**blue surface**could be shown, you would see its apex at (0,0,10). 3) The intersection of the**blue surface**with the plane z = 0 is a circle with radius 2.5. 4) The intersection of the**pink surface**and the plane x = 0 is a pair of intersecting lines that cross at (0,0,1). For these two lines,**pink surface**, the radius of the LARGE opening at the top =