Tattoo Needles and the Geometry of a Hole

Submitted 03.24.23

Tattoo Needles and the Geometry of a Hole

There are a few reasons why angle matters. One has to do with the vector of the force. When you're tattooing at a 90 degree angle, the vectors are pointing straight down and are absorbed by the skin. However, when you tattoo at a 45 degree angle, the vectors are pointing up and out, or away from the skin, which means that they compress the skin less.

diagram of tattoo needle depth

The other reason has to do with geometry. When you come at the skin from an angle, the needle is creating an elliptical hole. This elliptical shape allows for more ink to be deposited in one pass. 

image of geometry of the hole

Watch the full episode:

Tattoo Science! The Physics of Tattooing Part 2

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