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I think Tao doesn't paint in his cave because Tao's cave isn't really hidden and the hidden cave is hidden.

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because Graybeard is more used to the texture of the Hidden cave

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I think that they would find Tao's cave and then not see the paintings because they would be in the hidden cave.

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Because if they go to Tao's cave then they won't see the paintings.

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Tao is hiding in the hidden cave Because he doesn't want to get caught by Volt because if Tao gets caught they will kill Tao because he is not the chosen one.

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Tao is painting into the hidden cave because its not out in the open.

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I think that he is painting in the painted cave because if Volt demands Tao to bring him to his cave he would see the paintings and he would be really mad.

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I think its to have their own hidden place where no one will find them.

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I think its because the hidden cave is more hidden and it has more of a flat surface for Greybeard and Tao to paint on. I also would like to believe that the hidden cave is bigger than Taos cave.