the math doesn't lie: a 20-pip looney pyramid exists
From my #openscad 3d model of looney pyramids, which adjusts the base by 7/32in (about 5.6mm) by every step, and scales the height proportionally. This keeps the angle of every piece identical, which I think is more pleasing in a hypothetical sort of way. (though an angle of exactly 30 degrees would be even more satisfying)
This is different than the official(?) dimensions, which change the base by 7/32in by every step, and the height by 3/8in (about 9.5mm) every step. This makes the angle dependent on the triangle size, ranging from 31.4° to 31.9° on the official pieces. The hypothetical official 20-pip triangle would end up nearly an inch shorter (22.8mm) with an angle of 35.2°
Next time I go to my local board game cafe I'll check how well my pieces stack & tree with the official ones and decide whether I have to follow their dimensions or not. The difference in absolute height of the 1-pip piece is just 0.4mm (about two layer heights). If I used the middle-sized piece as the reference piece, it would split the difference, making the big piece just 0.2mm too short and the small piece just 0.2mm too tall. That's around the size of 1 3d printed layer...
Prevously: https://social.afront.org/@stylus/113557312812359498






