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.