Get off at Keage station walk through the Nanzen-ji temple and travel along the road to the Path of Philosophy and finish at the Silver Pavilion. Nanzen-ji Temple is beautiful during Cherry Blossom season, the area encompasses the Hojo Garden and the Tenjuan garden which is far more impressive than the Hojo garden. To see the temple and gardens it will cost you a couple of dollars but its a lovely way to start the day. Make sure you have a map and once you finish here go around the schools and head towards the Path of Philosophy and finish up at the Silver Pavilion. As impressive as it is I wouldn't bother just seeing the temple, make the time and do the other activities in the area - make a day of it, well worth it.
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