Logo concepts that survive at favicon size

Six logomark concepts for {{company}}, which does {{what}} for {{who}}. Brand adjectives: {{3 adjectives}}.

Constraints for every mark: purely geometric construction, single colour on white, no gradients, no shadows, no more than three shapes, negative space used deliberately, and legible as a 16px silhouette. Each concept must express a different idea — list the idea beside each. Present on one sheet: each mark large, with a 16px version beside it.

Avoid entirely: swooshes, globes, generic circular abstractions, letters made of dots, gradient meshes, hexagon-with-node clichés, anything resembling a well-known existing mark.

Negative: text, wordmark, taglines, mockups, 3D, drop shadows, multiple colours, thin lines that vanish when scaled.