Now I'm thinking, there could be good math games as well. For example, the game "Miegakure" is a 4-dimensional puzzle game that unfortunately is not released yet.
So my idea is to create a list of (educational) video games that successfully and insightfully convey (counter-intuitive) mathematical concepts (such as 4D space), which one can use alongside a formal training in mathematics.
Simple games for children don't suffice. The games have to be about "relatively advanced" ideas such as 4D space.
The games don't have to be officially "educational", but they should be about serious mathematical concepts. (e.g. "Miegakure" seems like an entertainment game, but it is still a serious attempt to model 4D space).
My intention is not to use them as substitutes for, but as a complement to formal mathematical training, i.e. as a way to boost intuition for someone who also studies the topic formally.