The more height the more area to heat. Its just wasted space for a ball and just more space that needs to be heated for no reason. If your room this is going in gets cool you may find you need another heat source. Heat tape does not heat the air so in a cold room your ambient temps will be low.
My gtp has a 2ft tall cage just to give you an idea of what would need a 2ft cage. A ball will climb but it in no way needs 2ft. Your plan is perfect for two gtp males but its a little much for a ball.
That style hinge should work if the material your using is thick enough to install the post.
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