Bold Iconic Logo Design

I need a fresh logo built around a single, memorable symbol—no text or lettering—so the mark can stand on its own across my website and social channels. The style I’m after is bold and creative: clear lines, strong shapes, and just enough personality to be instantly recognizable when it appears as a profile image, favicon, or post watermark.

Deliverables I expect:
• Scalable vector file (AI or SVG)
• Transparent PNG in both light- and dark-friendly color versions
• A quick mock-up showing how the icon sits in a square and circular frame for avatars

Please keep all original source layers intact so I can tweak colors later if needed. If you usually craft concepts in Adobe Illustrator or a comparable vector tool, that works perfectly for me.