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.