Skip to contentSkip to Braille Studio

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.