Here are the strains from Altman Nursery in Vista, California
This is sold as T. Pachanoi, but it looks a lot more like a T. Huanucoensis
9 ribs
Pups
T. Pachanoi Monstrose
cristate pups popping out from a semi-monstrose plant
T. Pachanoi "Altman's Colossus"
This cultivar looks similar to the Altman Monstrose but with more ridges and grow straight up without all the weird ridges
Common T. Pachanoi suspect it's a Huanucoensis Berkeley's Front Yard
but more information is need to confirm whether it's a PC or Huanucoensis BBG's Front yard ( Peru 56.1153) by noticing its flowering habits e.g. "time, hair color, petals color, etc."
Here is Berkeley Botanical Garden's Front Yard T. Huanucoensis ( Peru 56.1153)
Commonly seen T. Pachanoi, could be a PC form but has characteristics of a PC