For this one, I am taking a different approach. Instead of writing a long essay, I am going to record a video lecture. I will add the link to the video lecture after It is posted. For now, here are my citations and notes.

Research

Abramelin

• 4+8=12 princes (zodiac?)
• ORIENS, PAIMON, ARITON, AMAIMON. Are listed as the 3rd layer of demon princes

Clavicula Solomonis

• Pretty much in line with my vision
• Source of my animal forms, sigils, and 

Liber Officiorum Spirituum

• “These be the 4 kynges of the Ayer as thes. Oriens in the Est, & paymon in the west & Amaymon in the Southe & Egim in the northe”

Agrippa’s 2nd Book of Occult Philosophy

• Given similarly to the above in name
• Separated as the directional kings, different from the rulers of hell itself

Image Sources

https://www.sciencephoto.com/media/148737/view/fludd-s-system-of-health

http://www.omega-magick.com/2015/03/the-four-kings-in-grimoires-tradition.html

• Also has a lot of interesting reading
• Grimoire of Honorius: invocations for 4 kings, names+directions are different
• Goetia: lists Egyn as having power over water

https://www.grimoire.org/grouping/cardinal-demon-kings/

• List other books to look into