Great demo. Not to nitpick, but the original poster's question was about a 3 item menu. It would be nice if the CSS allowed arbitrary number of elements. Right now, deleting one of the 5 links seems to break the design. Seems like something SASS could handle.
/*
* rotate each slice at the right angle = (A/2)° + (k - (n+1)/2)*A°
* where A is the angle of 1 slice (30° in this case)
* k is the number of the slice (in {1,2,3,4,5} here)
* and n is the number of slices (5 in this case)
* formula works for odd number of slices (n odd)
* for even number of slices (n even) the rotation angle is (k - n/2)*A°
*
* after rotating, skew on Y by 90°-A°; here A° = the angle for 1 slice = 30°
*/
So there's a calculation to be done. I guess there are various ways to get around that.
SASS could help you generate the required CSS, but you would still need some kind of customized markup, dynamic call to a SASS function, or JavaScript if you wanted to support a truly arbitrary/dynamic/database-driven number of buttons.