The Ultimate Pen Cubby (parametric)

This is a parametric "smart" pen/pencil/tool organizer/cubby/holder.

I designed this for my daughter, who has very limited desk space. You specify the dimensions of the pen and some properties of the organizer and the rest is automated, including ensuring that the base extends past the center of mass so it doesn't tip over.

A higher angle will make a taller organizer but create a smaller footprint. A lower angle does the opposite.

If you don't want individual slots, you can enlarge the pen_width to make multi-pen slots.

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Update 2020/4/28
-Added the ability to create a tray instead of or in addition to the pen base.
-Added ability to merge top otherwise useless row to create a horizontal compartment.
-Fixed some trig.