Skip to contentSkip to Braille Studio

Library / Mathematics / The Value of Zeta(3) to 1,000,000 places / Braille

The Value of Zeta(3) to 1,000,000 places ⠃⠗⠋ 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

1,020,017 braille cells · 1,008 embossed pages at 40×25 · 54 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.