Skip to contentSkip to Braille Studio

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.