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.