Library / Mathematics / Four-Dimensional Vistas / Braille
Four-Dimensional Vistas ⠃⠗⠋ braille edition
Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
155,153 braille cells · 164 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.