What is the ruling on designing images and symbols that contain parts of a woman's body, such as only her hair, eyes, or nose, or her back showing her hair?

The jurists hold three different opinions regarding the ruling on a man looking at a severed limb of a woman without desire:

First Opinion: It is not permissible for a man to look at a severed limb of a woman if it was impermissible to look at it before its detachment, whether the detachment occurred during life or after death. This is the view of the Hanafis and the Shafi'is (according to the most sound opinion). Second Opinion: It is permissible to look at a severed limb of a woman if it was detached from her during her lifetime because it has become alien to the body, but it is not permissible to look at it if its detachment occurred after death. This is the view of the Malikis. Third Opinion: It is permissible for a man to look at a severed limb of a woman because its sanctity is removed by detachment. This is the view of the Shafi'is (in contrast to the most sound opinion) and the Hanbalis.

Given the scholarly disagreement on this issue and the exposure of men to these images, the most cautious approach for your faith is not to undertake these designs.