Examples for

Packing & Covering Problems

Packing and covering problems are special optimization problems concerning geometric objects in a given space or region. Many of the problems involve arranging geometric objects (usually identical) into the space or region as densely as possible with no overlap. Wolfram|Alpha can find the best-known solutions for many two-dimensional packing problems. It can also do estimations for packing/covering with everyday‐life objects.

Geometric Packing in 2D

Optimize the packing of common 2D geometric figures into a given area.

Compute properties of a geometric packing:

Specify dimensions of the container:

Specify dimensions of packed objects:

More examples
Packing & Covering of Objects

Estimate the number of objects required to pack or cover another object.

Estimate the number of objects required to fill a container:

Estimate the number of objects required to cover a specified area:

Estimate the number of objects required to circle another object:

More examples