The question I ask myself most, whenever I’m tempted to pick any of the popular three, is: Is there another alternative?
Why not just add a third? That seems to be the answer that’s most prevalent these days.
The point of a sharps cube, as with every kind of other cube out there, is to reduce the friction of playing. That’s where things get more interesting.
You can see in this example that the edges of the corners are too close together and, therefore, make it difficult to apply pressure in this particular cube. If you could cut off the edges completely, you could reduce the total friction and make the same movement the same on all sides.
There is a very simple reason for this. As soon as you get rid of any two of the three edges (and/or edges in adjacent corners), the corners become more or less perpendicular.
In a normal cube, the cube surface (or at least the entire face) is perfectly parallel on the edges. But here the edges are all too close together and therefore make it nearly impossible to apply force to them. This can be reduced through cutting off the edges completely, but that still means you won’t ever get two of the three edges parallel on the whole face, leaving you with a gap or a gap in the edge gap (the point of a sharps cube).
In the example you can see below the edge gap is larger than the total gap and that even if you cut off the end edges completely, you will still only get two of the three edges parallel.
We can improve this situation by adding a third edge. Here I’m not suggesting cutting off the end edges completely, but rather using a “smaller edge” like a sharp point.
This kind of edge, just like the other two we’re about to look at, takes up less space and is therefore more easily applied pressure, so much so that it can be argued a smaller edge is the optimal kind for a cube that already has two of it. (On the other hand, if your cube already has a third edge, there are still two other options which are slightly less efficient).
In the following image you can see one such edge on both faces – you can make out the edge at the bottom right, called “small edge”; the one to the left is “large edge” and on top right you can see that the one to the right is a sharp point. The large edge allows your hands
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