There is a far easier (safer?) way to dice onion. Start by cutting the onion in half, from root to top. The then cut 1/2 inch off the top, and peel. Then, instead of cutting horizontally through the onion as you did in step two, cut vertically. Position your knife near one edge, and plunge the tip into the onion near the roots (but don't cut through them), and cut all the way through to the top. Continue across the onion until you reach the other side. Then rotate 90 degrees, and cut vertically across your onion from top to root. No precarious knife skills needed, and a fast dice every time. I would do a handy graphic, but I'm on redistributed mobile.