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.