Geometry / CONCEPT
Flat pi graph and actual face components
The complete native flat-component counting and endpoint theorem, with loops and parallel edges retained.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
Complete original component counting conclusion
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A square-root cusp in the scalar extension anglestructural-affinity · Closed
- Actual edge-star budget matricesstructural-affinity · Closed
- Actual flat face componentsstructural-affinity · Closed
- Critical edge incidence marginsstructural-affinity · Closed
- Path connectedness of the original raw-face link quotientstructural-affinity · Closed
- Positive generalized lengths and flat sectorsstructural-affinity · Closed
- Smooth raw cosine versus singular clipped anglestructural-affinity · Closed
- Two lengths and the sum over actual selected edge positionsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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