Skip to contentSkip to Braille Studio

Library / Mathematics / Catalan's Constant [Ramanujan's Formula] / Braille

Catalan's Constant [Ramanujan's Formula] ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

310,440 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.