The 4-dimensional cube \([0,1]\times [0,1]\times [0,1]\times [0,1]\) has 16 vertices, 32 edges and 24 2-dimensional faces. How many 3-dimensional faces does it have?
Question
Math 6510 • Differentiable Manifolds
Fall 2002 • Question 15
Question
Fall 2002 • Question 15
The 4-dimensional cube \([0,1]\times [0,1]\times [0,1]\times [0,1]\) has 16 vertices, 32 edges and 24 2-dimensional faces. How many 3-dimensional faces does it have?