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After beating the trick master 4 times (i think it's 4)
After you beat the trick master it is not possible to find him in the game again. The trick master is an NPC in Pokémon Ruby, Sapphire and Emerald.
Every time you beat a trick master challenge leave the trick masters house and go back in and find the trick master again, at one point the trick master will say he's done and he will leave forever he will give you a tent before he leaves, he will never ever come back.
For each gym leader you beat the trick master creates a new level. The last level is after you beat the elite four.
After you beat the Trick Master's puzzles, he is gone. If you want to see him again, you need to go out of the house and then back in.