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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.