HypercubeGraph
HypercubeGraph[n] gives the n-dimensional hypercube graph Qₙ.
Examples
3D hypercube (cube):
HypercubeGraph[3]4D hypercube (tesseract):
HypercubeGraph[4]Count vertices and edges:
g = HypercubeGraph[5];
{VertexCount[g], EdgeCount[g]}
(* {32, 80} *)Please visit the official Wolfram Language Reference for more details.