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.