Question: How can you trim down a 2cm cube so that it fits perfectly through a 2cm square hole, a 2cm circular hole, and a 2cm isosceles triangle hole.
Answer: Hopefully without losing any fingers in the process.
This is another extra credit problem that I gave to my students, and will probably appear in my dimensionality treatment at some point. Here is a more formal statement of the problem.
You have a wooden cube that is two centimeters on each side. You also have all of the woodworking tools that you could ever want. How can you trim down the cube so that it can fit through and perfectly fill each of the following three holes:
A square hole that is two centimeters on each side
A circular hole with a two centimeter diameter
An isosceles triangular hole with a two centimeter base and a two centimeter height
As with the nine coins problem, you can all get extra credit for answering this one too.
Details of the problem
This is another extra credit problem that I gave to my students, and will probably appear in my dimensionality treatment at some point. Here is a more formal statement of the problem.
As with the nine coins problem, you can all get extra credit for answering this one too.