1. Star Upper ratio calculation on first star facet example highlighted with pink:

All calculation are performed in 2D. Model is projected on table facet plane

1.1 Draw a line a through star facet edge belongs to table. Line will separate plane into half-planes β and δ:

1.2 Find most distant point (call it B) on star facet from line a.  A is point, where perpendicular from point B is crossing line a:

1.3 Find most distant point on girdle (call it D) from line a, point should belong to β half-plane. C is point, where perpendicular from point D is crossing line a:

1.4 Star Upper ratio is |AB| length divided by |CD| length. 

2. "Star Upper ratio" calculation on second star facet example highlighted with pink:

All calculation are performed in 2D. Model is projected on table facet plane

2.1 Draw a line a through star facet edge belongs to table. Line will separate plane into half-planes β and δ:

2.2 Find most distant point (call it B) on star facet from line a.  A is point, where perpendicular from point B is crossing line a:

2.3 Find most distant point on girdle (call it D) from line a, point should belong to β half-plane. C is point, where perpendicular from point D is crossing line a:

2.4 Star Upper ratio is |AB| length divided by |CD| length. 

3. Star Upper ratio parameter in reports

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4. Notes