The geometrical definition of an antiprism is a polyhedron composed of two parallel copies of some particular polygon, connected by an alternating band of triangles. Here I present a twist square antiprism box. In the first photo the color-changed box is folded inside-out. The second photo is a custom printing I made with the logo of the Spanish convention, where I was a guest in the spring. The diagram is printed inside the box. I folded 125 boxes, and I still love this model.
Alternatively, follow along to this tutorial by Sara Adams.
You can also fold variations of the square antiprism.
This box belongs to a set of antiprism boxes I created, which can be seen here.
I also made an antiprism for the iconic Toblerone chocolate.