Minimalist Black and White Logo

I’m looking for a clean, minimalist logo executed strictly in black and white. The design must combine a simple, memorable icon with clear text, keeping negative space and legibility front-of-mind so the mark scales well from social-media avatars to print.

Here’s what I will need from you:
• Two to three initial concept directions that explore different icon ideas while staying within the minimalist style.
• One refinement round on the concept I choose.
• Final files supplied as editable vector (AI/SVG), high-resolution PNG with transparent background, and print-ready PDF.

Please build the artwork in a professional vector tool such as Adobe Illustrator so colours and proportions remain precise. The project is complete when the final logo looks crisp at 32 px and equally strong on an A4 sheet, with no additional colours or gradients introduced.