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 · 833 unrepresentable characters omitted
⠊⠝⠞⠕⠀⠛⠕⠇⠙⠀⠎⠑⠑⠍⠎⠀⠏⠗⠑⠏⠕⠎⠞⠑⠗⠕⠥⠎⠂⠀⠽⠑⠞⠀⠊⠝⠀⠁⠀ ⠓⠥⠝⠙⠗⠑⠙⠀⠇⠁⠃⠕⠗⠁⠞⠕⠗⠊⠑⠎⠀⠗⠁⠙⠊⠥⠍⠀⠀⠊⠎⠀⠃⠗⠑⠁⠅⠊⠝⠛ ⠀⠙⠕⠺⠝⠀⠊⠝⠞⠕⠀⠓⠑⠇⠊⠥⠍⠂⠀⠁⠝⠙⠀⠞⠓⠑⠀⠝⠑⠺⠀⠉⠓⠑⠍⠊⠎⠞⠗⠽ ⠀⠃⠊⠙⠎⠀⠋⠁⠊⠗⠀⠞⠕⠀⠀⠞⠥⠗⠝⠀⠞⠓⠑⠀⠞⠊⠍⠑⠤⠓⠕⠝⠕⠗⠑⠙⠀ ⠚⠑⠑⠗⠀⠁⠞⠀⠞⠓⠑⠀⠁⠇⠉⠓⠑⠍⠊⠎⠞⠎⠀⠉⠕⠍⠏⠇⠑⠞⠑⠇⠽⠀⠥⠏⠎⠊⠙⠑ ⠀⠙⠕⠺⠝⠲⠀⠀⠠⠁⠀⠺⠊⠋⠑⠀⠺⠓⠕⠎⠑⠀⠍⠊⠝⠙⠀⠺⠁⠎⠀⠕⠗⠊⠑⠝⠞⠑⠙⠀ ⠊⠝⠀⠞⠓⠑⠀⠝⠑⠺⠀⠙⠊⠗⠑⠉⠞⠊⠕⠝⠀⠑⠋⠋⠑⠉⠞⠥⠁⠇⠇⠽⠀⠀ ⠎⠊⠇⠑⠝⠉⠑⠙⠀⠓⠑⠗⠀⠓⠥⠎⠃⠁⠝⠙⠄⠎⠀⠗⠊⠙⠊⠉⠥⠇⠑⠀⠕⠋⠀⠺⠓⠁⠞⠀ ⠓⠑⠀⠉⠁⠇⠇⠑⠙⠀⠓⠑⠗⠀⠉⠗⠑⠙⠥⠇⠊⠞⠽⠀⠃⠽⠀⠀⠗⠑⠍⠊⠝⠙⠊⠝⠛⠀ ⠓⠊⠍⠀⠞⠓⠁⠞⠀⠺⠓⠑⠝⠀⠺⠊⠗⠑⠇⠑⠎⠎⠀⠞⠑⠇⠑⠛⠗⠁⠏⠓⠽⠀⠺⠁⠎⠀ ⠋⠊⠗⠎⠞⠀⠎⠥⠛⠛⠑⠎⠞⠑⠙⠀⠓⠑⠀⠀⠓⠁⠙⠀⠑⠭⠉⠇⠁⠊⠍⠑⠙⠂⠀⠠⠁⠓⠂⠀ ⠞⠓⠁⠞⠂⠀⠽⠕⠥⠀⠅⠝⠕⠺⠂⠀⠊⠎⠀⠕⠝⠑⠀⠕⠋⠀⠞⠓⠑⠀⠞⠓⠊⠝⠛⠎⠀ ⠞⠓⠁⠞⠀⠊⠎⠀⠝⠕⠞⠀⠀⠏⠕⠎⠎⠊⠃⠇⠑⠖⠀⠠⠓⠑⠀⠺⠁⠎⠀⠃⠑⠞⠗⠁⠽⠑⠙⠀ ⠃⠽⠀⠓⠊⠎⠀⠉⠕⠍⠍⠕⠝⠀⠎⠑⠝⠎⠑⠲⠀⠀⠀⠀⠠⠞⠓⠑⠀⠇⠑⠎⠎⠕⠝⠎⠀ ⠎⠥⠉⠓⠀⠞⠓⠊⠝⠛⠎⠀⠞⠑⠁⠉⠓⠀⠥⠎⠀⠁⠗⠑⠀⠎⠥⠍⠍⠑⠙⠀⠥⠏⠀⠊⠝⠀ ⠞⠓⠑⠀⠗⠑⠏⠇⠽⠀⠕⠋⠀⠠⠁⠗⠁⠛⠕⠂⠀⠀⠞⠓⠑⠀⠛⠗⠑⠁⠞⠀⠎⠁⠧⠁⠝⠞⠂⠀ ⠞⠕⠀⠞⠓⠑⠀⠺⠊⠋⠑⠀⠕⠋⠀⠠⠙⠁⠛⠥⠑⠗⠗⠑⠲⠀⠠⠎⠓⠑⠀⠁⠎⠅⠑⠙⠀⠓⠊⠍ ⠀⠊⠋⠀⠓⠑⠀⠀⠞⠓⠕⠥⠛⠓⠞⠀⠓⠑⠗⠀⠓⠥⠎⠃⠁⠝⠙⠀⠺⠁⠎⠀⠇⠕⠎⠊⠝⠛⠀ ⠓⠊⠎⠀⠍⠊⠝⠙⠀⠃⠑⠉⠁⠥⠎⠑⠀⠓⠑⠀⠺⠁⠎⠀⠞⠗⠽⠊⠝⠛⠀⠞⠕⠀⠀⠍⠁⠅⠑⠀ ⠏⠑⠗⠍⠁⠝⠑⠝⠞⠀⠞⠓⠑⠀⠊⠍⠁⠛⠑⠀⠊⠝⠀⠁⠀⠍⠊⠗⠗⠕⠗⠲⠀⠠⠁⠗⠁⠛⠕⠀ ⠊⠎⠀⠎⠁⠊⠙⠀⠞⠕⠀⠓⠁⠧⠑⠀⠁⠝⠎⠺⠑⠗⠑⠙⠂⠀⠀⠠⠓⠑⠀⠺⠓⠕⠂⠀ ⠕⠥⠞⠎⠊⠙⠑⠀⠕⠋⠀⠏⠥⠗⠑⠀⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠎⠂⠀⠎⠁⠽⠎⠀⠁⠀ ⠞⠓⠊⠝⠛⠀⠊⠎⠀⠊⠍⠏⠕⠎⠎⠊⠃⠇⠑⠂⠀⠀⠎⠏⠑⠁⠅⠎⠀⠺⠊⠞⠓⠕⠥⠞⠀ ⠗⠑⠁⠎⠕⠝⠲⠀⠀⠀⠀⠠⠉⠕⠍⠍⠕⠝⠀⠎⠑⠝⠎⠑⠀⠝⠑⠊⠞⠓⠑⠗⠀⠇⠑⠁⠙⠎⠀ ⠝⠕⠗⠀⠇⠁⠛⠎⠂⠀⠃⠥⠞⠀⠊⠎⠀⠑⠧⠑⠗⠀⠇⠊⠍⠊⠞⠑⠙⠀⠞⠕⠀⠞⠓⠑⠀⠀
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