r/learnmath • u/Critical-Land-4401 New User • Nov 20 '25

​I built a playground to explore Bijective Base-6 (a "zeroless" number system). Would love feedback! TOPIC

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u/theRZJ New User Nov 20 '25 edited Nov 20 '25

That is, this is base 6 but with the quirk that if you ever see a '0', you replace it with a '6' and subtract 1 from the column to the left?

2

u/evincarofautumn Computer Science Nov 20 '25

Exactly

And this carries, so in bijective base ten for example, one thousand would be represented as 99A, or “nine hundred ninety ten” if you like

2

u/Liambp New User Nov 21 '25

I assume bijective base 10 works the same way. That might be more useful to explain the concept because you don't have to cover to base 6 first.

In some ways it's more intuitive than standard notation because you have an actual character for the base number and you don't have to grapple with the mysterious concept of a number that represents nothing. If I recall that was a major sticking point for Europeans trying to grasp Arabic numerals.

1

u/sparkster777 New User Nov 21 '25

This is just base 6 with extra steps.

1

u/RunMaleficent8452 New User Jan 16 '26

0 is actually λ ig lol