Categories
Intermediate

Parallel universes

Two straight lines are specified by y=a+cx and y=b+cx, respectively, where b≥a. What’s the distance d between them in terms of a, b and c?

Categories
Intermediate

The axe head

A tetrahedron with given vertex coordinates. What is its volume?

Categories
Intermediate

The rabbit hole

Three quarters of a unit square placed at the origin are shaded as shown. The remaining quarter is treated similarly but mirrored, and so on to infinity. What are the coordinates of the vanishing point?