Geometry / CONCEPT
A square-root cusp in the scalar extension angle
The scalar hyperideal extension angle has an explicit square-root cusp.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS0
Exact affine cosine along the scalar path
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Actual flat face componentsstructural-affinity · Closed
- Critical edge incidence marginsstructural-affinity · Closed
- Critical opposite floors and a mixed six-valent starstructural-affinity · Closed
- Flat pi graph and actual face componentsstructural-affinity · Closed
- From local angle envelopes to all global curvature facesstructural-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
Loading release versions...
Browse the archiveCertified provenance