Modern Abstract Logo Design Needed

I want a clean, forward-thinking logo built around an abstract symbol that feels unmistakably modern. Please keep the entire mark in a monochrome palette so it works seamlessly on light or dark backgrounds and scales well across print, web, and social media.

Here’s what I need from you:
• Three distinct abstract concepts presented as vector art (Adobe Illustrator or equivalent)
• One chosen concept refined through up to two revision rounds
• Final hand-off that includes layered AI, SVG, high-res PNG, and a 512×512 px favicon

I’ll supply brand keywords and sample applications as soon as we start; you bring the creative thinking and polished vector skills to turn them into a timeless mark.