Library / Mathematics / Four-Dimensional Vistas / Braille
Four-Dimensional Vistas ⠃⠗⠋ 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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187,144 braille cells · 199 embossed pages at 40×25 · 505 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.