Why do instruments sound different?

They're vibrating at the same rate for the same note, right? So how come they sound substantially different? Als, how come every instrument can not play the same range?
Update: >_>' I don't get what's wrong with my question. D:
Update 2: I mean like what about their shape and material makes them sound different? If I had a wooden saxophone, would it sound the same?
Update 3: Okay. ^_^ Thank you for taking me seriously. C:
Update 4: That definitely does help. Thanks. :D
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