Library / Mathematics / Catalan's Constant [Ramanujan's Formula] / Braille
Catalan's Constant [Ramanujan's Formula] ⠃⠗⠋ braille edition
Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
310,201 braille cells · 311 embossed pages at 40×25 · 36 unrepresentable characters omitted
⠼⠉⠉⠁⠋⠚⠚⠁⠑⠓⠚⠃⠓⠓⠊⠊⠉⠁⠛⠛⠋⠉⠑⠓⠁⠊⠋⠛⠊⠋⠊⠊⠛⠑⠁⠊⠃⠋⠊⠙ ⠋⠉⠁⠃⠊⠑⠁⠊⠁⠁⠚⠛⠁⠃⠛⠓⠋⠃⠚⠉⠓⠚⠊⠁⠓⠑⠙⠉⠓⠚⠉⠃⠓⠙⠙⠑⠑⠃⠊⠀ ⠼⠉⠊⠙⠓⠁⠁⠋⠋⠋⠊⠚⠓⠁⠉⠛⠃⠙⠑⠁⠉⠑⠁⠉⠙⠓⠑⠛⠙⠊⠛⠛⠁⠉⠉⠚⠚⠑⠙⠛ ⠙⠙⠋⠉⠚⠓⠚⠁⠉⠋⠉⠚⠁⠁⠑⠑⠋⠉⠁⠃⠙⠊⠑⠉⠊⠉⠚⠚⠙⠙⠃⠋⠚⠑⠃⠑⠊⠙⠉⠀ ⠼⠓⠉⠚⠃⠙⠋⠁⠃⠁⠁⠚⠉⠚⠃⠃⠙⠑⠉⠋⠚⠚⠓⠚⠁⠚⠁⠓⠁⠙⠓⠊⠋⠊⠋⠉⠚⠙⠋⠁ ⠃⠓⠑⠉⠋⠋⠉⠛⠚⠊⠋⠊⠁⠙⠋⠙⠑⠃⠊⠚⠛⠃⠊⠑⠛⠙⠑⠋⠊⠁⠛⠛⠁⠁⠛⠃⠃⠊⠊⠀ ⠼⠋⠁⠚⠁⠑⠚⠃⠑⠚⠋⠁⠋⠑⠊⠃⠉⠚⠋⠃⠃⠊⠛⠓⠑⠓⠚⠉⠉⠋⠁⠃⠑⠁⠛⠋⠋⠓⠛⠓ ⠊⠊⠊⠁⠚⠉⠉⠊⠛⠑⠛⠁⠋⠋⠃⠙⠁⠉⠚⠊⠊⠙⠙⠊⠓⠙⠑⠙⠋⠊⠙⠑⠑⠓⠊⠚⠚⠛⠃⠀ ⠼⠛⠋⠑⠋⠁⠁⠁⠓⠉⠃⠊⠋⠊⠓⠁⠋⠁⠉⠓⠙⠑⠑⠛⠁⠑⠛⠙⠚⠋⠋⠁⠋⠑⠛⠛⠋⠋⠛⠙ ⠙⠚⠁⠓⠉⠃⠛⠁⠉⠃⠛⠑⠋⠓⠃⠁⠛⠉⠙⠋⠙⠃⠁⠓⠃⠃⠃⠑⠚⠚⠉⠊⠙⠚⠙⠃⠙⠉⠑⠀ ⠼⠉⠊⠚⠋⠙⠋⠑⠋⠋⠓⠛⠛⠋⠚⠃⠛⠉⠊⠉⠚⠉⠓⠁⠑⠑⠓⠙⠓⠑⠋⠛⠑⠑⠁⠃⠙⠙⠉⠁ ⠉⠃⠛⠓⠃⠁⠛⠙⠉⠉⠙⠁⠁⠚⠉⠃⠉⠋⠃⠋⠋⠋⠋⠙⠓⠃⠋⠃⠁⠋⠛⠚⠚⠛⠋⠓⠓⠊⠓⠀ ⠼⠁⠚⠋⠃⠙⠓⠓⠑⠚⠑⠛⠁⠋⠑⠋⠃⠙⠓⠚⠚⠛⠙⠁⠑⠁⠓⠊⠁⠉⠛⠊⠉⠚⠛⠉⠑⠁⠑⠊ ⠃⠑⠚⠊⠙⠋⠉⠚⠑⠙⠓⠛⠑⠑⠃⠋⠉⠊⠛⠑⠃⠁⠚⠁⠁⠉⠉⠓⠑⠚⠓⠁⠚⠉⠁⠃⠃⠛⠙⠀ ⠼⠙⠃⠁⠁⠙⠃⠙⠉⠊⠑⠉⠛⠁⠁⠊⠃⠚⠙⠛⠊⠉⠙⠊⠋⠃⠉⠋⠉⠊⠃⠑⠙⠊⠛⠃⠛⠓⠙⠚ ⠊⠁⠊⠙⠚⠓⠚⠃⠉⠁⠛⠁⠊⠙⠛⠚⠚⠊⠉⠙⠚⠋⠊⠙⠁⠃⠉⠉⠓⠓⠓⠙⠓⠛⠚⠉⠓⠚⠚⠀ ⠼⠑⠓⠙⠙⠃⠋⠙⠚⠓⠚⠁⠓⠃⠊⠙⠉⠛⠑⠛⠓⠊⠋⠋⠛⠁⠃⠉⠙⠓⠁⠙⠙⠃⠋⠉⠓⠊⠋⠓ ⠉⠃⠚⠉⠓⠓⠁⠙⠓⠚⠙⠋⠉⠓⠑⠊⠊⠛⠃⠋⠚⠓⠉⠓⠑⠑⠛⠓⠋⠁⠃⠛⠓⠚⠙⠚⠉⠑⠃⠀ ⠼⠑⠛⠊⠋⠚⠓⠛⠉⠋⠙⠓⠚⠋⠋⠓⠉⠃⠙⠚⠙⠊⠓⠛⠃⠓⠃⠉⠃⠓⠓⠃⠚⠛⠛⠑⠑⠑⠋⠓ ⠙⠚⠋⠉⠁⠉⠉⠛⠛⠊⠙⠃⠁⠋⠁⠊⠃⠃⠃⠃⠙⠙⠛⠉⠃⠑⠁⠑⠃⠉⠉⠊⠓⠊⠁⠚⠋⠓⠙⠀ ⠼⠓⠊⠑⠓⠙⠛⠑⠙⠁⠙⠑⠋⠚⠚⠛⠙⠁⠙⠙⠁⠛⠑⠚⠛⠃⠑⠙⠁⠋⠙⠛⠉⠙⠑⠓⠙⠁⠋⠓ ⠁⠑⠚⠃⠁⠊⠋⠊⠋⠋⠃⠓⠁⠋⠊⠑⠓⠙⠋⠊⠑⠚⠊⠚⠓⠉⠉⠊⠁⠙⠑⠑⠓⠁⠚⠋⠉⠉⠓⠀ ⠼⠃⠉⠛⠃⠛⠃⠊⠛⠓⠁⠃⠋⠚⠉⠁⠙⠋⠃⠃⠊⠊⠑⠁⠑⠛⠙⠁⠛⠊⠁⠑⠋⠃⠉⠁⠊⠛⠁⠓ ⠉⠉⠓⠃⠑⠋⠃⠃⠙⠋⠓⠁⠚⠓⠛⠋⠚⠙⠃⠛⠛⠃⠛⠚⠁⠉⠋⠓⠙⠁⠛⠉⠙⠙⠃⠓⠓⠛⠛⠀ ⠼⠙⠚⠊⠉⠑⠉⠊⠓⠛⠁⠃⠑⠁⠛⠓⠛⠊⠃⠉⠙⠛⠋⠃⠋⠚⠃⠙⠋⠉⠑⠙⠃⠚⠛⠃⠁⠃⠛⠃
These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.