Interesting mathematical applications for the iPhone and iPad
iMath
Cryptarithms
The ability to sum numbers and perform logical reasoning are the only skills required for solving cryptarithms.
Four Colours
Could be a map of a country colored using four colors in such a way that any two contiguous regions or states wouldn’t be filled with one color?
Pythagoras HD
iPad version of an educating puzzle — all this is about a proof of the famous Pythagorean Theorem!
Pythagoras
A fascinating, beautiful and educating puzzle — all this is about a proof of the famous Pythagorean Theorem!
The ability to sum numbers and perform logical reasoning are the only skills required for solving cryptarithms. Nevertheless, these puzzles are often witty and challenging to solve.
A cryptarithm is a mathematical puzzle where digits in an arithmetic equality are replaced by letters. It is defined so that distinct letters correspond to distinct digits. Moreover, when the letters are converted back by the original digits, the resulting equality must be valid. The problem is to find the original digits.
90 сryptarithms with their translations to 6 languages are presented!
Could be a map of USA or your country colored using four colors in such a way that Nebraska and Missouri (as well as any two contiguous regions or states) wouldn’t be filled with one color? It turns out that you can manage to do it with any map. And this seems to be the first statement in science proved with computer aid. You can verify this statement for variety of maps, study up geography and visit Martin Gardner country by the way. Enjoy!
Maps in this release: Commonwealth of Australia, Republic of Austria, French Republic, Federal Republic of Germany, United Mexican States, Republic of Poland, Portuguese Republic, Kingdom of Spain, Kingdom of Sweden, Swiss Confederation, United States of America, United Kingdom of Great Britain and Northern Ireland.
