FA-5978 / Solid geometry / Member archive

Torus volume divided by pi squared · case 03

The major radius is squared instead of the tube radius.

Member previewVariant 3 · 3 implementations · 4 checks per implementation

Case contract

Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. major>=minor>=0; return ring-torus volume divided by pi squared. Exact operational definition: 2*major*minor*minor

Why this case matters

Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
fixture 1: (3, 1)	`18`	`6`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.