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
⠃⠽⠀⠞⠓⠑⠀⠏⠇⠁⠝⠞⠲⠀⠠⠁⠝⠙⠀⠀⠁⠎⠀⠞⠓⠑⠀⠍⠕⠎⠞⠀⠏⠑⠗⠋⠑⠉⠞⠀ ⠍⠁⠉⠓⠊⠝⠑⠀⠊⠎⠀⠊⠝⠋⠑⠗⠊⠕⠗⠀⠊⠝⠀⠞⠓⠊⠎⠀⠗⠑⠎⠏⠑⠉⠞⠀⠞⠕⠀ ⠞⠓⠑⠀⠀⠓⠥⠍⠃⠇⠑⠎⠞⠀⠋⠇⠕⠺⠑⠗⠀⠞⠓⠁⠞⠀⠛⠗⠕⠺⠎⠂⠀⠎⠕⠀⠊⠎⠀ ⠞⠓⠑⠀⠓⠊⠛⠓⠑⠎⠞⠀⠏⠗⠕⠙⠥⠉⠞⠀⠕⠋⠀⠞⠓⠑⠀⠀⠧⠑⠛⠑⠞⠁⠃⠇⠑⠀ ⠅⠊⠝⠛⠙⠕⠍⠀⠊⠝⠋⠑⠗⠊⠕⠗⠀⠞⠕⠀⠍⠁⠝⠀⠓⠊⠍⠎⠑⠇⠋⠂⠀⠞⠓⠑⠀ ⠍⠁⠅⠑⠗⠀⠕⠋⠀⠞⠓⠑⠀⠍⠁⠉⠓⠊⠝⠑⠆⠀⠀⠋⠕⠗⠀⠓⠑⠀⠉⠁⠝⠀ ⠗⠑⠋⠇⠑⠉⠞⠀⠥⠏⠕⠝⠀⠓⠊⠎⠀⠕⠺⠝⠀⠁⠝⠙⠀⠞⠓⠑⠀⠺⠕⠗⠇⠙⠄⠎⠀ ⠃⠑⠉⠕⠍⠊⠝⠛⠂⠀⠺⠓⠊⠇⠑⠀⠞⠓⠑⠀⠀⠏⠇⠁⠝⠞⠀⠉⠁⠝⠀⠕⠝⠇⠽⠀ ⠃⠑⠉⠕⠍⠑⠲⠀⠀⠀⠀⠠⠺⠓⠁⠞⠀⠊⠎⠀⠞⠓⠑⠀⠗⠑⠁⠎⠕⠝⠀⠋⠕⠗⠀⠞⠓⠑⠎⠑ ⠀⠙⠊⠋⠋⠑⠗⠑⠝⠉⠑⠎⠀⠕⠋⠀⠏⠕⠺⠑⠗⠀⠁⠝⠙⠀⠋⠥⠝⠉⠞⠊⠕⠝⠦⠀⠀ ⠠⠁⠉⠉⠕⠗⠙⠊⠝⠛⠀⠞⠕⠀⠞⠓⠑⠀⠠⠓⠊⠛⠓⠑⠗⠀⠠⠎⠏⠁⠉⠑⠀ ⠠⠓⠽⠏⠕⠞⠓⠑⠎⠊⠎⠀⠞⠓⠑⠽⠀⠁⠗⠑⠀⠙⠥⠑⠀⠞⠕⠀⠧⠁⠗⠽⠊⠝⠛⠀⠀ ⠏⠕⠞⠑⠝⠉⠊⠑⠎⠀⠕⠋⠀⠍⠕⠧⠑⠍⠑⠝⠞⠀⠊⠝⠀⠞⠓⠑⠀⠎⠑⠉⠗⠑⠞⠀ ⠉⠁⠥⠎⠑⠺⠁⠽⠎⠀⠁⠝⠙⠀⠉⠕⠗⠗⠊⠙⠕⠗⠎⠀⠕⠋⠀⠎⠏⠁⠉⠑⠲⠀⠀⠠⠞⠓⠑⠀ ⠓⠊⠛⠓⠑⠗⠀⠋⠥⠝⠉⠞⠊⠕⠝⠎⠀⠕⠋⠀ ⠉⠕⠝⠎⠉⠊⠕⠥⠎⠝⠑⠎⠎⠤⠤⠧⠕⠇⠊⠞⠊⠕⠝⠂⠀⠑⠍⠕⠞⠊⠕⠝⠂⠀⠀ ⠊⠝⠞⠑⠇⠇⠑⠉⠞⠊⠕⠝⠤⠤⠍⠁⠽⠀⠃⠑⠀⠊⠝⠀⠎⠕⠍⠑⠀⠺⠁⠽⠀ ⠉⠕⠗⠗⠑⠇⠁⠞⠑⠙⠀⠺⠊⠞⠓⠀⠞⠓⠑⠀⠓⠊⠛⠓⠑⠗⠀⠏⠕⠺⠑⠗⠎⠀⠀⠕⠋⠀ ⠝⠥⠍⠃⠑⠗⠎⠂⠀⠁⠝⠙⠀⠺⠊⠞⠓⠀⠞⠓⠑⠀⠉⠕⠗⠗⠑⠎⠏⠕⠝⠙⠊⠝⠛⠀ ⠓⠊⠛⠓⠑⠗⠀⠙⠑⠧⠑⠇⠕⠏⠍⠑⠝⠞⠎⠀⠕⠋⠀⠎⠏⠁⠉⠑⠲⠀⠀⠠⠞⠓⠥⠎⠀ ⠺⠕⠥⠇⠙⠀⠞⠓⠑⠀⠙⠊⠋⠋⠑⠗⠑⠝⠉⠑⠀⠃⠑⠞⠺⠑⠑⠝⠀⠏⠓⠽⠎⠊⠉⠎⠀⠁⠝⠙ ⠀⠍⠑⠞⠁⠏⠓⠽⠎⠊⠉⠎⠀⠃⠑⠉⠕⠍⠑⠀⠁⠀⠀⠙⠊⠋⠋⠑⠗⠑⠝⠉⠑⠀⠕⠋⠀ ⠙⠑⠛⠗⠑⠑⠀⠁⠝⠙⠀⠝⠕⠞⠀⠕⠋⠀⠅⠊⠝⠙⠲⠀⠠⠑⠧⠕⠇⠥⠞⠊⠕⠝⠀⠊⠎⠀⠞⠕ ⠀⠃⠑⠀⠉⠕⠝⠉⠑⠊⠧⠑⠙⠀⠀⠕⠋⠀⠁⠎⠀⠁⠀⠉⠕⠝⠞⠊⠝⠥⠕⠥⠎⠀ ⠏⠥⠎⠓⠊⠝⠛⠀⠃⠁⠉⠅⠀⠕⠋⠀⠞⠓⠑⠀⠃⠕⠥⠝⠙⠁⠗⠽⠀⠃⠑⠞⠺⠑⠑⠝⠀⠀
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