Physical equations involving isotropic materials must therefore be independent of the coordinate system chosen to represent them.

In a two-dimensional isotropic material the grain boundary tension would be the same for the grains.

When only an isotropic material such as air, water, or glass exists between the filters, all light is blocked.

For an isotropic, linear elastic, material this relation takes the form or .

We can make the substitutions and, for isotropic materials, .

These apply to isotropic materials which are homogeneous and of regular shape.

The forms in terms of ε are correct only for linear isotropic materials.

An isotropic material, in contrast, has the same properties in every direction.

Specific surface energy - same as surface tension in isotropic materials.

For isotropic materials, these reduce to only two.