2014 dimensions?

Geometry Level 4

Consider a hypercube of side length 2 in a 2014-dimensional space. Inscribe a unit hypersphere in the hypercube. Inscribe a smaller hypersphere tangent to the unit hypersphere and the sides of the hypercube.

The radius of the smaller sphere can be written as abc\frac{a-\sqrt{b}}{c} where aa, bb and cc are coprime positive integers. Find a+b+ca+b+c.

Based on this problem.

×

Problem Loading...

Note Loading...

Set Loading...