Final answer:
Kyoto's most famous Zen garden is named Ryoan-ji, a Zen temple known for its minimalist design and profound cultural significance.
Step-by-step explanation:
The name of Kyoto's most famous Zen garden is Ryoan-ji. Ryoan-ji Temple is a Zen temple renowned for its stark simplicity and minimalistic design, which are characteristic of traditional Japanese aesthetics. This temple's Zen garden is one of Japan's most iconic cultural landmarks, reflecting principles of Zen Buddhism through carefully arranged rocks and meticulously raked gravel, designed to invoke deep thought and contemplation.