FA-5919 / Solid geometry / Member archive

Sphere surface divided by pi · case 04

Volume scaling is used for 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. Sphere surface divided by pi. Exact operational definition: 4*r*r

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 2: (1,)	`1.3333333333333333`	`4`	Failed

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

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