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Most temples will have a space designated for your shoes: usually a series of cubby-holes along one of the temple's exterior walls. Removing shoes shows respect for the temple and the deity statues within. This is not optional: removing shoes, sandals, or any other footwear is a mandatory rule of every Hindu temple. Socks are fine, you can keep wearing them. However, if the temple floor is made of marble or any other slippery stone, you want to remove socks so you don't fall. Traditionally, upon entering a Hindu temple, you'll see an array of deities and statues arranged around the temple walls. Begin with the deity on your left. From there, continue to walk through the temple in a clockwise direction, pausing before each deity you come across. Many temples have separate queues for men and women, and you will have to follow it accordingly. If you'd like to know ahead of time if there are separate queues for each gender, you can call the temple and ask in advance. When you finally get to see the statue closely, you may join the palms of your hands near the heart into a "namaskara" (a traditional pose) and bow. This is the minimum act you should perform in front of each statue as a respectful gesture. Practicing Hindus will often bow or fully prostrate themselves in front of statues as a sign of respect and reverence. If you feel comfortable, you can prostrate yourself as well, although it's not required.
Remove your footwear outside the temple. Circulate through the temple. Respectfully view the statues.