Skip to contentSkip to Braille Studio

Library / Mathematics / Amusements in Mathematics / Braille

Amusements in Mathematics ⠃⠗⠋ 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

821,176 braille cells · 847 embossed pages at 40×25 · 15,933 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.