#Mathematician (Uncommon) $5

1 messages · Page 1 of 1 (latest)

shy iris
#

Whenever a card is scored, the chips value awarded (including from effects like Bonus and Hiker) is given by c. This joker gives +x mult, where x is the number of distinct finite groups of order c, provided that x > 1. (It is whenever c is composite.)

(I figured that I might as well make a joker named mathematician that actually takes an undergraduate understanding of mathematics to understand. balatrojoker )

cyan yew
#

my last neuron

brian-look-out-v0-76jyncw6sz8d1.png
#

because what the flip does this even mean

shy iris
#

https://en.wikipedia.org/wiki/Finite_group

Finite group

In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical objects, when those objects admit just a finite number of structure-preserving transformations. Important examples of finite groups include cyclic groups and permutation groups.
The stud...

wraith steppe
#

my brain trying to comprehend this

chips are given by c which is if it’s composite. meaning that chips are not given to prime numbers

x is the number of finite groups of order c
this joker gives mult if c is composite

i give up

shy iris
#

@wraith steppe the fact that this card gives mult when c is composite is more of a consequence of the structure of finite groups of prime order (there is only one, the cyclic group).

#

So to take a concrete example, there are 3 groups of order 8, so if you play an 8 (or a 3 that has one boost from a hiker) you will receive +3 mult.

wraith steppe
#

im just gonna trust you with that 👍

iron goblet
#

i love the idea of a joker that is technically possible to understand but basically impossible.

i can't speak for if it;s balanced though, because i can't understand it

frosty bay
#

So in other words, I just find c divided by the greatest prime multiple of c, or did I misinterpret it?

shy iris
shy iris
iron goblet