Hyperbolic Crochet

Ratio (stitches added) 1.2 Rows 30 Stitch Width 4 Curvature Color Row gradient Curvature map Yarn colors Pause Randomize Colors

Daina Taimina's hyperbolic crochet: each row adds extra stitches at ratio r, creating negative Gaussian curvature. The surface cannot be embedded flat — it ruffles and folds, physically modeling the hyperbolic plane.