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.