I think the reason that drip cakes tend to be round is that it can be tricky getting drips to flow down corners, but there is no rule saying it can't be round. What did you have in mind?
I think that sounds like a great idea! Liquid won't drip down corners on it's own, so you'll have to 'encourage' it, but no reason that you can't do a drip cake with a hexagon.
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