Combinatorics / CONCEPT
The Distinguished Heap Eight
Every positive position containing a heap of size eight has Sprague–Grundy value at most sixteen.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
Depth zero has value at most five
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 gcd-six source reductionstructural-affinity · Closed
- Bounds from a Distinguished Heapstructural-affinity · Closed
- Distinguished Heaps Two and Fourstructural-affinity · Closed
- Distinguished-Heap Recurrence Estimatesstructural-affinity · Closed
- Dyadic Depth and Zero Positionsstructural-affinity · Closed
- Finite mex block propagationstructural-affinity · Closed
- Fixed-board Divisor Nim sequencesstructural-affinity · Closed
- Full comparison spacing at gcd twostructural-affinity · Closed
- Paired Dyadic Removalsstructural-affinity · Closed
- The complete mixed two/four formulastructural-affinity · Closed
- The maximum number of strongly complementary permutation matricesstructural-affinity · Closed
- The refined ceiling at every depthstructural-affinity · Closed
- The Sharper Sprague–Grundy Bound for Divisor Nimstructural-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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