### "Object Subject", Luca Cardelli '95

## "Trisquirclehedron"

Let it be known far and wide that Jack
C. Wileden has named this object in a fair contest.
#### Construction

Start with a circle on the horizontal plane. Place a square
on a vertical plane with its base matching a diameter of the circle.
Place a triangle on an orthogonal vertical plane with its base
matching a diameter of the circle, and with its tip on the upper
edge of the square. Each horizontal cross-section of the solid
is given by an ellipse-like curve with its major axis given by
the intersection of the cross-section plane with the square, and
its minor axis given by the intersection of the cross-section
plane with the triangle.

Questions: what are the interesting choices of ellipse-like
curves? (E.g.: real ellipses. The drawing above uses splines.)
What are the properties of the resulting solids? (E.g., surface,
volume, convexity, vertical cross-sections, alternative characterizations.)

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