Yes , in fact I did see some people there with a Tripod even - they might have called ahead to get permission though so I wouldn't plan on just showing up with one, I also went at a non peak time ~11AM on a Friday where it was not busy . Please see this link to the FAQ section https://philadelphia.wonderspaces.com/faq "Can I bring a camera and take pictures? Yes. Non-commercial picture-taking is allowed. We are experimenting with camera-free periods during the shows, but any restrictions on camera use will be included in the ticket information before purchase"
Yes!
You definitely can. You'll want to take a lot of photos since all of the exhibits are breathtaking.
Yes, absolutely!
Yes you can!
Private photos are fine, professional are not. Your personal camera should be fine.
Yes, they encourage photos
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