While the classic round brilliant cut is still the most popular, apparently square cuts are en vogue. I’m aways away from considering any of this, and I’m a classic style kind of guy, so round brilliant still my preferred choice, but asscher cut very nice as well.
edit: After a little looking, it’s round, cushion, Asscher. If the Tiffany Novo (below) wasn’t so expensive it might cut in before the Asscher.