# Harmonic tripod intake validation

- Solved arch rise: **44.802 mm**
- Total geometric intake curtain: **192.42 cm²**
- Per arch: **64.14 cm²**
- Filtered effective area / fan disk: **1.000000:1**
- Shell watertight: **True**
- Shell material volume: **724.46 cm³**
- Estimated gray-iron mass: **5.22 kg**

The lower edge is `z0(q)=h_a[1-cos(6πq)]/2`.  The solver evaluates the actual sloped curtain between the bottom footprint and the tapered analytic rim, rather than relying only on the zero-taper Barbier estimate.
