Math World Genetics - (Aug/23/2014 )
Each and Every number in my Math World story has these chromosomes in their genome:
Chromosome 1: Addition
Chromosome 2: Subtraction
Chromosome 3: Multiplication
Chromosome 4: Division
Chromosome 5: Exponentiation
Chromosome 6: Nth Root
Chromosome 7: Tetration
Chromosome 8: Color
Chromosome 9: Size
XX or XY
The Color chromosome has 2 genes, 1 for main color and 1 for change of color.
The Size chromosome has lots of genes that are basically all small, medium, and large alleles but for different parts of the number's body.
The operational chromosomes have 1 long gene that codes for a specific operation to be done with the mother's value and the father's value.
One Biological problem I haven't found a solution to is how meiosis occurs in these numbers.
Since there are 7 operational chromosomes there are theoretically 7 or more ways meiosis can occur but only 2 result in equal size cells.
The problem is this: How does each number get all 7 operational chromosomes?
The 7 per gamete and 1 per gamete have their advantages and disadvantages and so I don't know which is most likely.
7 per gamete:
Advantages:
More genetic diversity
As fertile in each generation as the previous for females
Disadvantages:
How is the operation determined? The male does determine it somewhat but it has to be a complex process.
Less fertile males(The reason? Less sperm produced from each germ cell)
1 per gamete:
Advantages:
More fertility in 1st generation males
Operation determination is not as complex of a process
Disadvantages:
Compared to 1st generation, subsequent generations only have 1 pair of operational chromosomes and so are less fertile
Less genetic diversity
But such a system wouldn't work - for instance the alleles for size would only work if it was a partial dominance sort of thing, or if they were distributed across chromosomes.
Yes It would work because there is an incomplete dominance in the size. The sizes with the incomplete dominance are small(SS), medium small(MS), medium(MM), Medium large(ML), and large(LL).
With the color chromosome, again incomplete dominance.
The only complete dominance there would be is on the sex chromosomes and the operational chromosomes.
With the operational chromosomes it is so extreme that 1 chromosome is dominant over another instead of just 1 allele.
That isn't a big problem.
The big problem is how the operation is determined and how all 7 operational chromosomes can be in each generation without loosing fertility in the males.
The females here always have the same fertility of 2 egg cells for every germ cell, at least if there are 7 operational chromosomes per gamete.
What about logarithmic calculus and geometry?
This is my first time writing this and I don't know much calculus so I didn't include things like functions and derivatives and integrals, at least not yet. Maybe later in the story I will discover that these numbers have more chromosomes for more operations and stuff.
As far as angles and side lengths and stuff, before the math of it starts to be done some shapes have to come from single points to lines, rays, and line segments all the way to 3D polyhedra. Maybe sometime after that I will add 4D geometry but I definetly will not go any higher than 4D geometry because if 4D geometry is already really complex but I can still solve it than 5D geometry would be unimaginably complex and so would geometries with higher dimensions than 5.
As for things like solving for x in a quadratic that won't come until later in the story either. I think I will put the algebra somewhere between simple arithmetic and geometry(because you need to know at least a little algebra before you can really do geometry).
The trigonometry will come after geometry and before calculus(Trigonometry is sort of like higher order geometry)
There will be linear algebra too with vectors and matrices and taking scalar numbers to the power of a matrix like e^(2x2 matrix) for example. I don't know where I should put that.