The Geometry of Vegetables - cutting vegetables

I thought that taking geometry in 9th grade would help me get ahead on math in high school.  What I didn't count on was having the wrestling coach as my teacher.  Let's just say that he had a very interesting teaching style and I still don't understand how I passed his class.  Between the hypothesis and the theorems, I think I may have blocked the whole class out of my mind.  Luckily, I still retain the names of shapes I believe my 6th grade teacher Mr. Palmer taught me when I considered math to be a magical and wonderful area of study.

So, what does this have to do with vegetables for the beginner?  Well, now that you feel comfortable cutting vegetables, we need to start to cook them, one of the important things that I learned is to have your vegetables all the same size.  This will help to ensure that the cooking time is about the same for all of them.  What happens though is that recipes come with their own vocabulary.  The best way to understand this vocabulary is to understand the shape and size they are referring to.

Dice:  small cubes
Mince:  Minuscule bits usually in cube shapes
Slice:  any size, but a slice of the vegetable like a slide of bread or a potato chip
Julienne: they look like sticks (and I know, sticks is not a geometrical term)
Chop: cut into pieces, any shape and any size
Cube:  cubed :)