I looked into some shapes and their global definitions and symbolic references as I plan on having a logo used as the heroes 'mark/ tag' and also the villains liquid formula logo.
"The circle is a universal symbol with extensive meaning. It represents the notions of totality, wholeness, original perfection, the Self, the infinite, eternity and timelessness. The circle is also zero in our system of numbering, and symbolizes potential, or the embryo. It has a magical value as a protective agent and indicates the end of the process of individuation, of striving towards a psychic wholeness and self-realization. Circle of Necessity: birth, growth, decline, death. Defense against chaos, formlessness."
"As a three-sided polygon, the triangle represents the number three, which is meaningful to many groups. As such, triangles and other symbols made of three parts may be used to present such concepts as past, present, and future or spirit, mind and body. Point-up triangles can also represent ascension toward the spiritual world, while the point-down triangle can represent a descent into the physical world."
"The octagon is found in baptisteries as a symbol representing eternal life as – likely because the number eight is symbolic of renewal. The eight sides of the octagon represent eight aspects of human endeavor considered important to the generalist. These might be something like Science, Engineering, Literature, Fine Arts, Philosophy, History, Mathematics, etc., although there are other candidates. The point is that the set should span the major categories of intellectual activity."
Examples of many Symbols in Logos