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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.