As Man and I travel into new and uncharted (for us) territory, we are eager to learn about the new flora we are finding. This is a form of Cholla. A sign on another cholla plant in the park gave its technical name as opuntia imbricata or the furniture cholla.
If I have this right (still learning), this is NOT the flower, which is a vivid hot pink, as you can see here. This is considered the fruit, which are dry and not tasty. Here's hoping we can see the flowering version in the spring.