Skip to contentSkip to Braille Studio

Library / Mathematics / Miscellaneous Mathematical Constants / Braille

Miscellaneous Mathematical Constants ⠃⠗⠋ 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

466,804 braille cells · 509 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.