Anomaly 1. Four anchored simplices and one large gap
Group
- The four anchored simplices
- Any specials along the anchors
- The subcluster at the large gap P
Scoring
- The upright quarters score sigma0
- The other anchored simplices use vor or vor0
- The subcluster is scored with a knob at each vertex of P
that is not a vertex of one of the anchored simplices.
Bounds
- tau > 7.95 pt + (n-5) 1.53 pt - 0.008 [n-4/3]
- sigma < ?
Notes
- There is at most one special along an anchored simplex.
1.65+2(1.41)+2(0.956)>pi
- The subcluster P is not a simplex, because the gap is large.
- The group has at least 6 external edges.
References
Anomaly 2. Three anchors concentrated in a half plane
Group
- The three anchored simplices
- The subcluster next to the three anchored simplices
Scoring
- The upright quarters score sigma0
- The subcluster is scored with a knob at each vertex of P
that is not a vertex of one of the anchored simplices and
that is not dependent.
Bounds
- tau > 10.12 pt + (n-5) 1.53 pt - 0.008 [n-4/3]
- sigma < ?
Notes
- The three anchored simplices are quarters.
1.41+2(0.956)>pi
- The subcluster P is not a simplex.
- There is at most one dependent vertex.
- There are at least n-5 knobs that are used in the scoring.
References
Four anchored simplices and no large gaps
Group
- The four anchored simplices
- Any specials whose diagonal lies along one of the four a.simplices.
Scoring
- The upright quarters score sigma0
Bounds
Notes
- The quad clusters are treated in III, so we may assume
that one of the four a. simplices is not a quarter.
References
Five anchored simplices and no large gaps
Group
- The five anchored simplices
- Any specials whose diagonal lies along one of the four a.simplices.
Scoring
- The upright quarters score sigma0
Bounds
Notes
-
References
Some knob VP(v,v1,v2) has |v1-v2|<3.2.
Group
Scoring
- The knobs at the vertices
Bounds
Notes
- Skew Quadrilateral
- Diagaonal of a special, in quad cluster with four edges
- Diagonal of a special, in a quad cluster with more than four edges
- Dependent vertex of an anomaly
References
Ordinary Subcluster
Group
Scoring
- The knobs at the vertices
Bounds
Notes
References