That is a Dba T5 rotor. It earned it, I ran these hard for several track weekends on Sebring and other tracks. I think there were 3 cracks in the outer portion of that rotor, the the
one on the other side had one crack. You can feel the crack when they get to the outside edge as you probably know. I think I was at Road Atlanta when it happened so ended up driving it home to FL.
These pic is one of the first Girodisc front rotors I ran, and although the grooves are gone, you can see the difference in the cooling "paws" on the Dba discs vs the curved cooling vanes on the Girodisc rotors. I think they cool better/more evenly so lessen the likelihood of cracking. Wore all the grooves off the rotors (there are still traces of portions of the grooves) but not cracks. Seems the Dba rotors are harder, so don't wear as much, but they end up cracking. Again, this is with me in my WBRE that weighs 4700+ lbs with me in it, and I drive it pretty hard on track. The rear original set of DP rotors I have on back have held up well, although those grooves are almost completely gone. They have held up well given they have outlasted two sets of front rotors and I am now on the third set of front rotors not counting the OE rotors that I originally replaced. The OE front rotors seem really soft, and are exoensive.
Either Girodisc, DP, or Dba front rotors are a great choice. I just installed a new set of Girodisc front rings and have a new set of Girodisc rings to go in the rear, although they are still working will even with the grooves gone. Long answer to a short question.
Interestingly, the OE front rotor hats are still black, whereas the DP hats are now purple from heat.
Sorry, it's unclear which rotor it is in the first picture (the cracked one).