Library / Mathematics / Catalan's Constant to 1,500,000 Places / Braille
Catalan's Constant to 1,500,000 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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1,539,627 braille cells · 1,540 embossed pages at 40×25 · 19,234 unrepresentable characters omitted
⠉⠋⠉⠑⠋⠉⠋⠊⠓⠉⠑⠓⠛⠚⠋⠙⠙⠚⠓⠚⠊⠋⠉⠃⠊⠁⠁⠋⠑⠓⠑⠋⠉⠑⠊⠑⠋⠁⠙⠀ ⠼⠉⠑⠊⠉⠓⠋⠉⠙⠋⠃⠓⠃⠃⠉⠓⠁⠊⠋⠁⠃⠃⠃⠚⠁⠉⠑⠋⠑⠙⠋⠊⠋⠋⠛⠉⠊⠃⠓⠓ ⠃⠃⠚⠛⠛⠁⠓⠓⠓⠑⠚⠓⠉⠚⠋⠁⠊⠑⠚⠁⠊⠁⠑⠋⠙⠑⠃⠚⠁⠋⠃⠊⠓⠑⠑⠙⠃⠁⠉⠀ ⠼⠓⠋⠙⠉⠓⠋⠙⠉⠉⠛⠋⠁⠊⠊⠉⠁⠙⠑⠉⠓⠉⠋⠑⠁⠓⠋⠓⠊⠁⠓⠃⠑⠓⠁⠛⠋⠋⠙⠛ ⠚⠃⠛⠚⠋⠃⠉⠛⠑⠉⠋⠛⠉⠓⠃⠉⠛⠚⠓⠊⠛⠚⠃⠚⠋⠛⠃⠁⠚⠛⠊⠚⠚⠋⠛⠊⠉⠋⠚⠀ ⠼⠁⠓⠑⠋⠓⠃⠚⠙⠋⠃⠊⠁⠑⠓⠛⠛⠃⠃⠃⠓⠑⠊⠑⠋⠚⠋⠚⠙⠚⠃⠃⠚⠊⠊⠉⠛⠑⠋⠑ ⠋⠓⠛⠊⠛⠙⠙⠑⠑⠃⠙⠚⠊⠁⠚⠊⠁⠃⠛⠉⠃⠓⠃⠃⠑⠊⠑⠁⠚⠓⠑⠊⠛⠃⠃⠙⠙⠙⠙⠀ ⠼⠛⠛⠓⠉⠊⠊⠃⠓⠁⠑⠋⠑⠑⠋⠃⠚⠓⠓⠑⠉⠙⠓⠉⠓⠃⠋⠊⠙⠙⠃⠑⠓⠁⠙⠚⠚⠋⠊⠁ ⠉⠓⠚⠃⠙⠛⠉⠋⠁⠙⠋⠃⠃⠚⠃⠚⠋⠚⠓⠊⠊⠛⠉⠋⠊⠓⠉⠛⠊⠙⠙⠙⠊⠑⠃⠊⠚⠛⠚⠀ ⠼⠁⠁⠊⠊⠁⠛⠓⠓⠁⠃⠁⠊⠉⠛⠚⠙⠛⠚⠓⠚⠊⠚⠓⠊⠛⠉⠙⠁⠓⠊⠛⠁⠃⠙⠁⠚⠉⠁⠑ ⠉⠊⠛⠚⠃⠉⠚⠋⠉⠉⠉⠁⠁⠛⠓⠉⠙⠊⠁⠁⠊⠛⠉⠙⠚⠛⠋⠃⠋⠓⠙⠛⠉⠊⠓⠊⠁⠁⠚⠀ ⠼⠋⠁⠃⠉⠊⠃⠋⠁⠙⠙⠚⠃⠚⠙⠑⠉⠁⠓⠊⠛⠊⠃⠛⠓⠃⠚⠙⠓⠚⠛⠋⠁⠓⠙⠊⠓⠚⠊⠛ ⠙⠃⠁⠓⠑⠋⠁⠚⠙⠁⠊⠙⠑⠊⠛⠃⠃⠁⠋⠙⠃⠃⠓⠁⠓⠊⠋⠑⠁⠊⠛⠉⠁⠙⠃⠋⠊⠚⠃⠀ ⠼⠁⠚⠑⠉⠉⠑⠉⠓⠑⠚⠛⠓⠃⠋⠊⠃⠃⠓⠚⠉⠃⠋⠓⠁⠊⠚⠑⠓⠊⠋⠙⠙⠓⠋⠊⠓⠊⠃⠋ ⠁⠛⠛⠑⠉⠋⠑⠓⠁⠙⠛⠚⠓⠋⠑⠓⠊⠑⠚⠉⠁⠓⠑⠛⠚⠋⠛⠃⠑⠓⠙⠉⠊⠃⠙⠊⠁⠃⠋⠀ ⠼⠋⠙⠋⠊⠃⠁⠑⠑⠋⠑⠊⠑⠊⠃⠁⠙⠋⠉⠉⠑⠓⠙⠁⠛⠁⠃⠑⠁⠃⠛⠚⠛⠓⠑⠑⠋⠙⠚⠊ ⠛⠉⠉⠁⠃⠛⠛⠊⠃⠉⠉⠚⠓⠉⠙⠙⠁⠁⠓⠚⠚⠊⠁⠛⠃⠁⠁⠊⠉⠁⠙⠓⠃⠋⠚⠉⠉⠁⠋⠀ ⠼⠙⠛⠃⠙⠙⠚⠃⠓⠑⠉⠚⠊⠑⠉⠁⠁⠉⠉⠙⠁⠋⠓⠚⠁⠉⠋⠃⠛⠋⠓⠉⠙⠚⠉⠓⠚⠋⠑⠋ ⠓⠙⠉⠊⠑⠋⠃⠃⠙⠊⠚⠁⠚⠋⠙⠉⠛⠚⠙⠊⠙⠊⠚⠓⠋⠛⠁⠁⠋⠃⠉⠛⠚⠁⠚⠁⠉⠃⠉⠀ ⠼⠊⠉⠋⠉⠉⠉⠑⠙⠚⠉⠉⠁⠉⠚⠉⠙⠓⠃⠊⠙⠋⠋⠁⠃⠙⠙⠃⠃⠊⠁⠓⠉⠃⠃⠑⠚⠛⠓⠙ ⠊⠚⠙⠁⠁⠉⠙⠑⠊⠃⠊⠚⠊⠉⠋⠚⠉⠛⠚⠛⠁⠉⠊⠁⠙⠚⠉⠛⠚⠁⠋⠙⠚⠑⠛⠉⠙⠑⠁⠀ ⠼⠙⠉⠑⠊⠓⠊⠓⠙⠉⠉⠊⠁⠃⠑⠚⠉⠓⠓⠛⠁⠁⠋⠊⠓⠁⠓⠋⠋⠑⠓⠋⠃⠉⠃⠑⠙⠚⠛⠁ ⠛⠓⠋⠓⠉⠃⠙⠃⠁⠓⠙⠚⠙⠋⠉⠓⠑⠚⠑⠃⠙⠊⠃⠃⠙⠚⠃⠃⠊⠙⠃⠁⠑⠃⠑⠃⠁⠃⠃⠀ ⠼⠃⠁⠊⠛⠙⠋⠋⠃⠛⠓⠊⠚⠓⠊⠃⠃⠙⠃⠋⠉⠚⠉⠑⠃⠙⠋⠛⠁⠋⠑⠉⠛⠋⠛⠓⠓⠉⠉⠉ ⠋⠁⠋⠁⠋⠁⠙⠓⠊⠛⠚⠉⠛⠃⠙⠙⠉⠓⠁⠁⠙⠓⠊⠓⠙⠓⠁⠁⠑⠛⠚⠙⠋⠚⠋⠛⠙⠉⠓⠀
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