# Ice Cream Cone Head (AR Modeling Challenge)

Can you author 2 surface equations (with possible domain restrictions) to reconstruct this 2-faced virtual ice cream cone within GeoGebra Augmented Reality?
and .
5) The projection of the one mouth boundary onto the plane z = 0 has equation .
6) The projection of the other mouth boundary onto the plane z = 0 has equation .

**Clues:**1) The blue surface is a hemisphere with radius = 3. 2) The top point of the hemisphere is (0, 0, 5). 3) The apex of the cone is at (0,0,5). 4) The projection of all 4 eyes onto the plane z = 0 are circles with centers**For additional challenges, see the text below this screencast.**## Demo

## Additional Challenges:

1) Reconstruct this same surface, yet reflect it about the plane z = 0.
I.E: "Flip it upside down"!
2) Reconstruct this same surface, yet put 2 additional mouths on here that are the mouths seen here, yet
rotated about (0,0,0).

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