Polyhedral dice & platonic solids 2D CAD

I have a generic cheap set of plastic RPG dice which I hope to use as a reference for my larger laser cut versions. The plan is to quantify some form of relative scaling/size.
 

Dice measurements in mm to one decimal place

Dice | Edge length | Height | Height % (Based on D20)
-----|-------------|--------|---------
D4   |     20.2    |  17    | 85
D6   |     16.2    |  16.2  | 81
D8   |     18.8    |  15.9  | 79.5
D10  |  15.9  7.2  |  15.9  | 79.5
D12  |     8.2     |  17.9  | 89.5
D20  |     12      |  20    | 100

 
The D20 is 20mm tall <3

The shape of a D10 die has no standard, it is not a platonic solid, and none of the angles are regular.

Using a Stack Exchange post on the subject as inspiration (https://rpg.stackexchange.com/questions/114672/is-there-a-standard-d10-dimension-ratio) I designed D10 faces based on a regular kite with two 90' angles. It worked but was not aesthetically pleasing. The shape was short and wide, similar to a spinning top.

So then after watching a well timed video from Wesley Treat (https://youtu.be/OEdxLarEGTE Welding Giant Polyhedral Dice) where he suggested using 66.6' as two angles of a kite. It didn't seem to work for me and assembling the D10 was even harder than the 90' regular kite faces. Have a hunch where I went wrong with the angles though.

Skip to now with finding a very well implemented dice generator on github using OpenScad (https://github.com/charmaur/PolyDiceGenerator PolyDiceGenerator). I chose to render a D10 and implemented projection(cut=true){} in the code to take a slice which was then exported as DXF. I resized the long sides in LibreCAD to 40mm and added my usual tabs for finger jointing the shape. We shall see.