First some background on the two symbols individually:
Mitsudomoe (three tomoe/domoe)
"Some view the mitsudomoe as representative of the threefold division (Man, Earth, and Sky) at the heart of the Shinto religion. Originally, it was associated with the Shinto war deity Hachiman, and through that was adopted by the samurai as their traditional symbol. One mitsudomoe variant, the Hidari Gomon, is the traditional symbol of the Ryūkyū Kingdom. The Koyasan Shingon sect of Buddhism uses the Hidari Gomon as a visual representation of the cycle of life." - https://en.wikipedia.org/wiki/Tomoe
"The Symbol of Chaos originates from Michael Moorcock's Eternal Champion stories. In them, the Symbol of Chaos comprises eight arrows in a radial pattern. In contrast, the symbol of Law is a single upright arrow. It is also called the Arms of Chaos, the Arrows of Chaos, the Chaos Star, the Chaos Cross, or the Symbol of Eight.
Moorcock has stated that he conceived this symbol while writing the first Elric of Melniboné stories in the early 1960s. It was subsequently adopted into the pop-cultural mainstream, turning up in such places as modern occulttraditions and role-playing games.
There are a number of traditional symbols that have the same geometrical pattern as Moorcock's symbol of Chaos, such as any of various eight-pointed stars, the star of Ishtar/Venus, the Eastern Dharmacakra and the Wheel of the Year, but none of these were symbols of chaos and their limbs are not arrows.
The '8' of Wands in Aleister Crowley's Thoth Tarot deck features prominently an eight-pointed star with arrows at the ends. Crowley described the card as representing "energy" scattering at "high velocity" that had managed to create the depicted eight-pointed figure.
Moorcock said about his version,
The origin of the Chaos Symbol was me doodling sitting at the kitchen table and wondering what to tell Jim Cawthorn the arms of Chaos looked like. I drew a straightforward geographical quadrant (which often has arrows, too!) – N, S, E, W – and then added another four directions and that was that – eight arrows representing all possibilities, one arrow representing the single, certain road of Law. I have since been told that it is an "ancient symbol of Chaos" and if it is then it confirms a lot of theories about the race mind. ... As far as I know the symbol, drawn by Jim Cawthorn, first appeared on an Elric cover of Science Fantasy in 1962, then later appeared in his first comic version of Stormbringer done by Savoy [ISBN 0-7045-0226-7]."
I came up with this design combining the two symbols when I was getting ready to deploy with the Army to Iraq back in 2004. I had a necklace with a mitsudomoe pendant that I got while in Germany a number of years prior to the deployment and it had always been a symbol of good luck and protection for me. I did not want anything to happen to my necklace while deployed so I decided to get the symbol as a tattoo.
I decided to get the tattoo in the middle of a chaos star as given the circumstances my world was pretty chaotic at the time and it could go in any direction. I had some close calls while deployed, but made it home safe. Unfortunately, my ex-wife took the necklace with her when we separated. I still have the tattoo, though.
Given how much I feel the symbolism in this design has helped me in my life I would like to share that with others.
If there are any colors / materials you would like this in that are not currently enabled please let me know.