I am curious about the grammar behind the word "climbing" in the phrase "climbing wall" (or the word "running" in the phrase "running shoes," etc).
I first thought it was an adjective describing the noun wall. However, I am wondering if these cases are the closest the English language gets to a gerundive? Both "climbing" and "running" are forms of a verb, and moreover, the phrase could be said as "the wall about to be climbed." In Latin, the "about to be climbed" would be the future passive participle, also known as the gerundive. Furthermore, in Latin, there also are gerundives of purpose, which would translate these phrases into "the shoes for the purpose of running" or "the wall for the purpose of climbing."
Is there an official name for these types of grammatical constructions?