P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
What happens to the perimeter of triangle ABC as the two smaller
circles change size and roll around inside the bigger circle?
Any cube may be removed so imagine some uncoloured, transparent
cubes propping up anything that needs it.
If a 'perforated cube' has the three views (projections) below,
what is the most and the least cubes possible to make a
shape that has these three projections ? In other words what could
be the most and the least cubes left from the original 125 ?