Geometric transformation composer

Supply 1 to 200 two-dimensional points and 1 to 100 transforms, in application order. Supported types are translate, rotate, reflect and scale. Rotate and scale accept an optional center; reflect supports x, y, y=x, y=-x and a line angle through a center. Column-vector matrices compose last * ... * first. Coordinates and angles are within ±1000000; scale factors within ±1000. Zero scales are valid and degenerate. Intermediate coordinates and matrix entries must stay within ±1000000000000. Arbitrary angles and repeated compositions use floating-point arithmetic; quarter turns use exact sine/cosine constants. Reports include every intermediate matrix and point set, plus the inverse when numerically representable. All processing stays on your device. Paste JSON with dot decimals; quote exact fractions and large integers. Input is limited to 100,000 characters and 100 digits per scalar. Exact results use reduced fractions, with a 1,024-digit and 200,000-step arithmetic bound. Enumeration is limited to 10,000 complete results and 1,000,000 search steps; exceeding a bound returns an error, not a partial answer. Geometry uses floating-point approximations. JSON and typed JSON Pointer CSV retain the complete input, results, constraints and worked steps. Reports are limited to 4,000,000 JSON and 8,000,000 CSV characters. Each calculation uses a disposable worker with a 10-second timeout. Search and sort the first 200 preview rows. Copy result copies the summary. Download JSON or CSV for every result and worked step. Geometry tools also provide a downloadable SVG diagram. Supply 1 to 200 two-dimensional points and 1 to 100 transforms, in application order. Supported types are translate, rotate, reflect and scale. Rotate and scale accept an optional center; reflect supports x, y, y=x, y=-x and a line angle through a center. Column-vector matrices compose last * ... * first. Coordinates and angles are within ±1000000; scale factors within ±1000. Zero scales are valid and degenerate. Intermediate coordinates and matrix entries must stay within ±1000000000000. Arbitrary angles and repeated compositions use floating-point arithmetic; quarter turns use exact sine/cosine constants. Reports include every intermediate matrix and point set, plus the inverse when numerically representable. All processing stays on your device. Paste JSON with dot decimals; quote exact fractions and large integers. Input is limited to 100,000 characters and 100 digits per scalar. Exact results use reduced fractions, with a 1,024-digit and 200,000-step arithmetic bound. Enumeration is limited to 10,000 complete results and 1,000,000 search steps; exceeding a bound returns an error, not a partial answer. Geometry uses floating-point approximations. JSON and typed JSON Pointer CSV retain the complete input, results, constraints and worked steps. Reports are limited to 4,000,000 JSON and 8,000,000 CSV characters. Each calculation uses a disposable worker with a 10-second timeout. Up to 100,000 characters. Review the settings before running.