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mathwave

why do mathematicians confuse christmas and halloween?

25 dec = 31 oct

mathwave

joke explained:

“dec” stands for “decimal”, and “oct” stands for “octal” - both of which are numeral systems.

we generally use decimals, which have powers of 10 - if you’ve ever seen scientific notation, you can write numbers as things like 2 x 10^1 = 20.

the octal system is in base 8 instead. so it’d be like if we used 8 instead of 10 for our scientific notation

31 in decimal can be written as 3 x 10^1 + 1 x 10^0 = 30 + 1 = 31

now knowing this, to convert an octal number to its decimal counterpart, you’d take the decimal system expansion (as above) replace all of the 10s with 8s, which becomes:

3 x 8^1 + 1 x 8^0 = 24 + 1 = 25

if you want the equation, it is here:

so 25 decimal = 25 dec = 31 oct = 31 octal, the dates of christmas and halloween!

also, fun fact: the octal system is mostly seen in the use of computers, but some cultures have used it as well. these include the languages of the Yuki people and Pame people, and to do it, you count using the spaces between your fingers instead of your fingers themselves.

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Yayoi Kusama began hallucinating spots atop the surfaces of her world at young age. In these polka dots, at once simple and boundless, Kusama found a way to break from the self and sink into infinity.