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## Re: Slanted Beams thickness

**From**: |
Carl Sorensen |

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

**Date**: |
Fri, 25 Mar 2022 11:36:55 -0600 |

On Thu, Mar 24, 2022 at 6:46 PM Valentin Petzel <valentin@petzel.at> wrote:
>* Hello,*
>
>* 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.*
>
I was looking through the lilypond-devel archives trying to find
discussions that I thought were held on this subject previously, but I
couldn't find them.
I did, however, find this post that indicates that the beam thickness and
the blot diameter interact when determining the angle of the beam as
defined by its centerline:
https://lists.gnu.org/archive/html/lilypond-devel/2019-06/msg00023.html
I found the attached .png to be quite interesting.
Thanks,
Carl

**Re: Slanted Beams thickness**, *(continued)*