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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.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

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.