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Library / Mathematics / The Number "e" / Braille

The Number "e" ⠃⠗⠋ 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

108,011 braille cells · 201 embossed pages at 40×25 · 2 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.