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Torus area divided by pi squared · case 04

The torus volume formula replaces surface area.

Member previewVariant 4 · 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 surface area divided by pi squared. Exact operational definition: 4*major*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)	`6`	`12`	Failed

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