
From Arthur Engel’s excellent Problem-Solving Strategies (1998):
On a cube, mark all the vertices and all the midpoints of the faces. Can an enterprising ant visit all these points by walking only along face diagonals and never retracing its steps?

From Arthur Engel’s excellent Problem-Solving Strategies (1998):
On a cube, mark all the vertices and all the midpoints of the faces. Can an enterprising ant visit all these points by walking only along face diagonals and never retracing its steps?