There are several reasons why a tattoo design featuring a medusa head might be popular. Here are some possible interpretations:

1. Strength and Resilience: The legend of Medusa has been interpreted as an example of strength, resilience, and survival in the face of adversity. Despite being raped by Poseidon, having her hair turned into snakes, and losing her head due to Perseus' actions (often seen as symbolic of societal expectations or oppression), she continues to exist both literally through her beheaded form and metaphorically as a symbol of enduring power.

2. Empowerment: Medusa's transformation from an ordinary woman to a monster has also been viewed positively by some women, who see it as a powerful rebirth after experiencing trauma themselves - whether physical or emotional abuse. Her story can thus serve as inspiration for those looking beyond their own personal struggles towards empowerment through strength and courage.

3. Symbolism: In Greek mythology, Medusa was said to have the head of a snake-haired woman because she symbolized evil; however, her true nature was actually one of beauty trapped beneath this external appearance - much like how people may appear tough on the outside but still carry inner vulnerability within themselves waiting to be freed.

4. Cultural Significance: The popularity of Medusa tattoos can also be attributed partially to their cultural significance across different societies throughout history. From ancient times until today, various cultures have associated her with themes such as protection against evil spirits (apotropaic magic), fertility cycles due to her connection with snakes which symbolize rebirth in some mythologies etcetera.

In conclusion, the Medusa tattoo design is popular because it has multiple layers of meaning that resonate with people from different backgrounds and experiences. It can represent strength, resilience, empowerment, symbolism, or even a personal story of survival against adversity.

Simple medusa head tattoo