What is the optimal horn shape for efficient heat radiation while still being effective at protecting the skull in headbutts?

To preface, my creatures have 4 horns, and they behave very similar to rams (at least ancestrally) in that they headbutt to resolve conflict/create dominance hierarchies. Two smaller horns are above their brows, and the other two larger ones are placed on the back of the head. I assume the best arrangement would involve increased surface area in the form of curling and ridged horns, but horns that still form a cage around the head, like dual ram horns.

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What is the optimal horn shape for efficient heat radiation while still being effective at protecting the skull in headbutts?

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