In geometry, a **10-demicube** or **demidekeract** is a uniform 10-polytope, constructed from the 10-cube with alternated vertices truncated. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM_{10} for a ten-dimensional *half measure* polytope.

Coxeter named this polytope as **1 _{71}** from its Coxeter diagram, with a ring on one of the 1-length branches, and Schläfli symbol

^{7,1}}.

## Cartesian coordinates

Cartesian coordinates for the vertices of a demidekeract centered at the origin are alternate halves of the dekeract:

(±1,±1,±1,±1,±1,±1,±1,±1,±1,±1)with an odd number of plus signs.