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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.