• Webster's Revised Unabridged Dictionary
    • n Halfpace (Arch) A platform of a staircase where the stair turns back in exactly the reverse direction of the lower flight. See Quarterpace.☞ This term and quarterpace are rare or unknown in the United States, platform or landing being used instead.
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Century Dictionary and Cyclopedia
    • n halfpace In architecture, same as foot-pace, 3.
    • n halfpace A landing in a stair which separates two flights of stairs. It differs from quarter-pace in that it crosses the ends of both flights, so that the direction of the stairs is completely changed.
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In science:

We also need an efficient SQ learning algorithm for halfpaces.
Inverse problems in approximate uniform generation