Cutting-Cork-base tool

I realised wine corks work really well for base miniatures
However, when I tried to cut them by hand they always ended up croocked

The idea is to put the cork in a track allowing a straight cut with a cutter or something alike.
I'm still making improvements, I'll read all coments if there's something I can improve.

UPDATE V2
Added version 2
It has a taller base, slightly wider space for the knife and this space goes through a little of the base.
It is also smaller and it can cut 2 different heigths: 11mm or 8 mm

I'm really confident about this update

UPDATE V3
Last version works fine, however it's a little bit narrow.
So V3 is for corks with diameters of 22.5mm (0.885 in)
If anyone is using a different size I can modify easily the STL
And with this version I remove the work-in-progress label

Remember all corks need sanding after being cut, I recommend sandpaper 120 and higher.
I also recomend to put the cork 10 minutes in water before cutting it.