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## Re: Slanted Beams thickness,Slanted Beams thickness

**From**: |
Werner LEMBERG |

**Subject**: |
Re: Slanted Beams thickness,Slanted Beams thickness |

**Date**: |
Fri, 25 Mar 2022 05:46:49 +0000 (UTC) |

>* Lilypond handles slanted Beams in a geometrically weird way, that*
>* is, the thickness is not measured as the shortest distance between*
>* the opposing sides of the boundary, but as vertical distance. This*
>* results in Beams getting optically thinner and closer the higher the*
>* slope is. But we can very easily factor this out by adjusting the*
>* thickness to the slope. In fact if we want to achieve a real*
>* thickness theta the adjusted thickness would need to be*
>* theta·sqrt(1 + slope²). See attached an experimental example.*
Looks good! However, I don't fully agree with the thickness values in
your experimental example. For very steep angles the beam appears a
little bit too thick IMHO; I think there should be a correction
factor.
Werner