Here's another version of TR logo/emblem I made earlier.
p.s. I tried to use all the characteristic faction elements. There is an explanation why I made it this way. So if you are interested read this:
1. The form used is penrose triangle which represent quote "impossibility in it's purest form". Terran Republic soldiers fight against all odds and never surrender so this is the only correct way to represent them.
2. Three colors used (red, black and white) are first 3 colors ever used by humans to draw and all hold more superior and even metaphysical meanings in human culture in comparison to all other colors (white - light, good; black - night, evil; red - warning, blood, fire). These primal colors emphasize that TR is the only true and legitimate representative of humanity on Auraxis.
3. Each corner of the triangle also represents one of the 3 core foundations of TR military: Unity, Order and Loyalty.