Why shouldn't make a Algebaric material whit two(or more) inputs and one exit?
Here is an example.
LEGEND:
(1)-Input 1
(2)-Input 2
E-Exit
How to express equation X+Y=4
X-Y=2
1.Solve it.
X=4-Y
X-Y=2
------
4-Y-Y=2
4-2Y=2
Y=1
X=3
2.Input the equation format by setting temp.
3.Input X by setting temp.
4.See the temp of the exit.
If temp is 27,5 celsius it will represent number 27,5.
Thanks for reading!!!
^Long response: I fail to understand the purpose of this.
The powder toy is turing complete, so it already has the ability to solve algebraic equations.
That is not required, the logic is fully turing complete.
To test for turing completeness you take the logic and place it in an environment with infinite memory/states/whatever. If powder had infinite canvas it would be fully turing complete.
A simpler way to look at it is that brainfuck is turing complete, and it would be possible to make a brainfuck interpreter in TPT (where instead of characters you use 2 bit cell inputs). This means that by extension TPT could emulate a turing machine, as it could run a brainfuck program that emulates a turing machine.