Home

Trinary - The BEST Way to Count

In April of 2018, jan Misali released a video that SHOOK the world. He announced and explained that seximal was the best way to count. Then in December of 2023, a video was released claiming that BINARY was the best way to count. Binary and seximal are indeed very good bases... but I'm here to settle this once and for all, and explain why counting by threes will make you explode with mathematical pleasure.

Fractions

Fractions are very important. If a base doesn't represent the reciprocal of a number well, you can't use it. In the table I've shown how trinary absolutely DEMOLISHES its competition.

Fraction Trinary Binary Seximal
1/3 0.1 0.'01 0.2
1/9 0.01 0.'000111 0.04
1/11 0.'00211 0.'0001011101 0.'0313452421
1/27 0.001 0.'000010010111101101 0.012

As you can see from my thorough analysis, trinary is better than binary and slightly better than seximal. Now, I know what you're thinking: "wow, you're so cool! can I marry you?" I'm flattered, but I'm already married to mathematics.

Divisibility Tests

The most important number is 3, because it is a nice round number written "10". In trinary, to test divisibility by 3, you check if it ends in 0! This is very simple. Seximal complicates things, you have to check if it ends in zero or three. Yuck. I can't think about more than two things at once, that's why after 2 I write 3 as 10. Binary is kind of bad at three, you have to add pairs of bits together and check those. Alternatively you can add quads of bits so that there's less of them. There are no other important numbers.

Size

Now, you're probably thinking "three is a bit small huh?" and to that I say NO THREE INCHES IS COMPLETELY AVER- trinary is a fine size. And if it's too small for you, you can use 3^2, compressing a pair of trinary digits into one nonary digit, using the digits 0-8. But with trinary being so small, we can use a short vertical mark for zero, a tall vertical mark for one, and a drawing of the beatboxing puppy from Our Drawings for 2. Here's how some simple numbers look in decimal, trinary, and nonary.

Flaws

Trinary has no flaws. If you think it does, you are the one with flaws.

Conclusion

If we counted in threes that would be pretty cool I think. Also, it's 23:53 when I'm writing this so I just barely managed to squeeze this out before April fools was over.

Home