Berber. Multiple companies make the style. Yours is a waffle style.

I really liked this style of carpet, seemed a great fit for a "relaxed" style. Bought it in the Karastan brand - top of the line! It wears awful - matted down in front of every seating area in less than 2 years! So disappointed. Not sure if it's the brand or the style.

I would not do wall to wall carpet ever.

Basement floors are cold in the winter without carpets.