Quartic → Ideal Tetrahedron

T_{a} (x) = x^{4} + 2 π x^{2} - 2 πa x + 2 π

Roots

= 0.00000000000000 + 1.11705341061904 i

= 0.00000000000000 - 1.11705341061904 i

= 0.00000000000000 + 2.24396456857143 i

= 0.00000000000000 - 2.24396456857143 i

= 2.24396456857143

= \frac{2 π}{4}