Library / Mathematics / Pi to 1,000,000 places / Braille
Pi 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.
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1,539,953 braille cells · 1,684 embossed pages at 40×25 · 3 unrepresentable characters omitted
⠼⠛⠑⠚⠊⠉⠚⠃⠊⠑⠑⠀⠀⠼⠉⠃⠁⠁⠋⠑⠉⠙⠙⠊⠀⠼⠓⠛⠃⠚⠃⠛⠑⠑⠊⠋⠀ ⠼⠚⠃⠉⠋⠙⠓⠚⠋⠋⠑⠀⠼⠙⠊⠊⠁⠁⠊⠓⠓⠁⠓⠀⠼⠉⠙⠛⠊⠛⠛⠑⠉⠑⠋⠀⠀ ⠼⠋⠉⠋⠊⠓⠚⠛⠙⠃⠋⠀⠼⠑⠙⠃⠑⠃⠛⠓⠋⠃⠑⠀⠼⠑⠁⠓⠁⠓⠙⠁⠛⠑⠛⠀ ⠼⠙⠋⠛⠃⠓⠊⠚⠊⠛⠛⠀⠼⠛⠛⠃⠛⠊⠉⠓⠚⠚⠚⠀⠀⠼⠓⠁⠋⠙⠛⠚⠋⠚⠚⠁⠀ ⠼⠋⠁⠙⠑⠃⠙⠊⠁⠊⠃⠀⠼⠁⠛⠉⠃⠁⠛⠃⠁⠙⠛⠀⠼⠛⠃⠉⠑⠚⠁⠙⠁⠙⠙⠀ ⠼⠁⠊⠛⠉⠑⠋⠓⠑⠙⠓⠀⠀⠼⠁⠋⠁⠉⠋⠁⠁⠑⠛⠉⠀⠼⠑⠃⠑⠑⠃⠁⠉⠉⠙⠛⠀ ⠼⠑⠛⠙⠁⠓⠙⠊⠙⠋⠓⠀⠼⠙⠉⠓⠑⠃⠉⠉⠃⠉⠊⠀⠼⠚⠛⠉⠊⠙⠁⠙⠉⠉⠉⠀⠀ ⠼⠙⠑⠙⠛⠛⠋⠃⠙⠁⠋⠀⠼⠓⠋⠃⠑⠁⠓⠊⠓⠉⠑⠀⠼⠋⠊⠙⠓⠑⠑⠋⠃⠚⠊⠀ ⠼⠊⠃⠁⠊⠃⠃⠃⠁⠓⠙⠀⠼⠃⠛⠃⠑⠑⠚⠃⠑⠙⠃⠀⠀⠼⠑⠋⠓⠓⠛⠋⠛⠁⠛⠊⠀ ⠼⠚⠙⠊⠙⠋⠚⠁⠋⠑⠉⠀⠼⠙⠋⠋⠓⠚⠙⠊⠓⠓⠋⠀⠼⠃⠛⠃⠉⠃⠛⠊⠁⠛⠓⠀ ⠼⠋⠚⠓⠑⠛⠓⠙⠉⠓⠉⠀⠀⠼⠓⠃⠛⠊⠋⠛⠊⠛⠋⠋⠀⠼⠓⠁⠙⠑⠙⠁⠚⠚⠊⠑⠀ ⠼⠉⠓⠓⠉⠛⠓⠋⠉⠋⠚⠀⠼⠊⠑⠚⠋⠓⠚⠚⠋⠙⠃⠀⠼⠃⠑⠁⠃⠑⠃⠚⠑⠁⠁⠀⠀ ⠼⠛⠉⠊⠃⠊⠓⠙⠓⠊⠋⠀⠼⠚⠓⠙⠁⠃⠓⠙⠓⠓⠋⠀⠼⠃⠋⠊⠙⠑⠋⠚⠙⠃⠙⠀ ⠼⠁⠊⠋⠑⠃⠓⠑⠚⠃⠃⠀⠼⠃⠁⠚⠋⠋⠁⠁⠓⠋⠉⠀⠀⠼⠚⠋⠛⠙⠙⠃⠛⠓⠋⠃⠀ ⠼⠃⠚⠉⠊⠁⠊⠙⠊⠙⠑⠀⠼⠚⠙⠛⠁⠃⠉⠛⠁⠉⠛⠀⠼⠓⠋⠊⠋⠚⠊⠑⠋⠉⠋⠀ ⠼⠙⠉⠛⠁⠊⠁⠛⠃⠓⠛⠀⠀⠼⠙⠋⠛⠛⠋⠙⠋⠑⠛⠑⠀⠼⠛⠉⠊⠋⠃⠙⠁⠉⠓⠊⠀ ⠼⠚⠓⠋⠑⠓⠉⠃⠋⠙⠑⠀⠼⠊⠊⠑⠓⠁⠉⠉⠊⠚⠙⠀⠼⠛⠓⠚⠃⠛⠑⠊⠚⠚⠊⠀⠀⠀⠀⠀ ⠼⠊⠙⠋⠑⠛⠋⠙⠚⠛⠓⠀⠼⠊⠑⠁⠃⠋⠊⠙⠋⠓⠉⠀⠼⠊⠓⠉⠑⠃⠑⠊⠑⠛⠚⠀ ⠼⠊⠓⠃⠑⠓⠃⠃⠋⠃⠚⠀⠼⠑⠃⠃⠙⠓⠊⠙⠚⠛⠛⠀⠀⠼⠃⠋⠛⠁⠊⠙⠛⠓⠃⠋⠀ ⠼⠓⠙⠓⠃⠋⠚⠁⠙⠛⠋⠀⠼⠊⠊⠚⠊⠚⠃⠋⠙⠚⠁⠀⠼⠉⠋⠉⠊⠙⠙⠉⠛⠙⠑⠀ ⠼⠑⠉⠚⠑⠚⠋⠓⠃⠚⠉⠀⠀⠼⠙⠊⠋⠃⠑⠃⠙⠑⠁⠛⠀⠼⠙⠊⠉⠊⠊⠋⠑⠁⠙⠉⠀ ⠼⠁⠙⠃⠊⠓⠚⠊⠁⠊⠚⠀⠼⠋⠑⠊⠃⠑⠚⠊⠉⠛⠃⠀⠼⠃⠁⠋⠊⠋⠙⠋⠁⠑⠁⠀⠀ ⠼⠑⠛⠚⠊⠓⠑⠓⠉⠓⠛⠀⠼⠙⠁⠚⠑⠊⠛⠓⠓⠑⠊⠀⠼⠑⠊⠛⠛⠃⠊⠛⠑⠙⠊⠀ ⠼⠓⠊⠉⠚⠁⠋⠁⠛⠑⠉⠀⠼⠊⠃⠓⠙⠋⠓⠁⠉⠓⠃⠀⠀⠼⠋⠓⠋⠓⠉⠓⠋⠓⠊⠙⠀ ⠼⠃⠛⠛⠙⠁⠑⠑⠊⠊⠁⠀⠼⠓⠑⠑⠊⠃⠑⠃⠙⠑⠊⠀⠼⠑⠉⠊⠑⠊⠙⠉⠁⠚⠙⠀
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