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 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

1,020,150 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.