Skip to contentSkip to Braille Studio

Library / Mathematics / Miscellaneous Mathematical Constants / Braille

Miscellaneous Mathematical Constants ⠃⠗⠋ 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

468,225 braille cells · 510 embossed pages at 40×25 · 459 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.