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AffineHalfSpace

AffineHalfSpace[{p1,…,pk+1},w] represents AffineSpace[{p1,…,pk+1}] extended in the direction w.

AffineHalfSpace[p,{v1,…,vk},w] represents AffineSpace[p,{v1,…,vk}] extended in the direction w.

Please visit the official Wolfram Language Reference for more details and examples on core symbols.