6-cube
In geometry , a 6-cube is a six-dimensional hypercube with 64 vertices , 192 edges , 240 square faces , 160 cubic cells , 60 tesseract 4-faces , and 12 5-cube 5-faces . 
<triplet> 6-cube <subj> vertices <obj> has parts of the class <subj> faces <obj> has parts of the class <subj> cells <obj> has parts of the class <subj> 4-face <obj> has parts of the class <subj> 5-face <obj> has parts of the class <triplet> tesseract <subj> vertices <obj> has parts of the class <subj> edge <obj> has parts of the class <subj> faces <obj> has parts of the class <subj> cells <obj> has parts of the class <subj> 4-face <obj> has parts of the class <subj> 5-face <obj> has parts of the class <triplet> 5-cube <subj> hypercube <obj> subclass of <subj> vertices <obj> has parts of the class <subj> faces <obj> has parts of the class <subj> cells <obj> has parts of the class <subj> 4-face <obj> has parts of the class <subj> 5-face <obj> has parts of the class