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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.