| Table of Contents |
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1. Star Upper ratio calculation on
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first star facet example highlighted with pink:
| Note |
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| All calculation are performed in 2D. Model is projected on table facet plane |
1.1 Draw a line a through start star facet edge belongs to table. Line will separate plane into surfaces 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 surfacehalf-plane. C is point, where perpendicular from point D is crossing line a:
1.4 Start Upper ratio is |AB| length divided by |CD| length.
2. "Star Upper ratio" calculation on
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second star facet example highlighted with pink:
In projection on Table plane, for each Star facet:
- Find the most distant point belong to the Star facet from line between Star and Table facets. Call it "A".
- Find the most distant point from this line on the girdle (in the same half-plane). Call it "B"
- StarUpperRatio is A/B.
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| Note |
|---|
| 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 Start Upper ratio is |AB| length divided by |CD| length.
3. Notes
- If you have any question, please ask it in comments or send e-mail to developer.
- If you find mistake. please describe it in comments or send e-mail to developer.