So, I was quite sick for the last few days and so didn’t get a Monday post up. Rather, I spent my Memorial day in bed, sleeping and eating soup. I hope other people had a better day off. Since I didn’t want anyone to think I’d dropped off the face of the Earth or was eaten by a wild goat, I have decided to post something I wrote last week and never got around to posting. I hope no one minds.
In the wake of doing my astronaut scientist paper doll Emily, I started thinking about paper dolls and math…
Now, I’m pretty bad at math, but I do have a formula I use for calculating outfit options. (By the way, I also use this when packing for trips where it works pretty darn well too. 🙂 )
Here’s how I calculate the number of “outfits” possible from a set of paper doll mix and match clothing pieces. First, we must define our variables. I know a certain former math teacher who would be quite irate with me if I failed to define my variables.
- X=Number of Tops
- Y=Number of Bottoms
- Z= Number of Jackets
- W=Number of Shoes
- V = Number of Dresses
- N= Number of Outfit Combinations
So… the formula looks like this:
- ((X*Y)+V)*(W+1)*(Z+1)= N
Why the formula works…
An “outfit” consists of one top plus one bottom. Since every top can be worn with every bottom, the tops multiplied by the bottom gives us the number of outfit options. Dresses are generally not worn with tops or bottoms and therefore they are added after the multiplication has taken place. The shoes (W) and the jackets (Z) both have to have one added to them, because it is possible to function without wearing shoes or jackets and the one provides for that option. If the assumption is being made that shoes will always be worn than the 1 can be omitted from the (W+1) calculation.
The formula doesn’t always work. Some sets, such as Mia at the Bathing Place or Blossom are done with the assumption that certain pieces will always be worn together or aren’t really mix and match to begin with. Further, not all paper doll sets are mix and match oriented. I generally do not take necklaces, scarves and other accessory items into consideration, because I think they don’t dramatically change the outfit enough to warrant being counted as separate outfits. For example, had I considered them, Spikes and Pleats would have included 5920 combinations, which seems a bit much, even to me.
However, if you want to include the accessory items… than take N and do the following:
- N= Number of Outfit Combinations
- A= Number of Necklaces
- B= Number of Bracelets
- C= Number of Scarves
- D= Number of Outfit Combinations including Accessories
So… now the formula gets to look like this:
- N*(A+C+1)*B=D
And with that little foray into math, I am now going to go take more cold medication. Enjoy the calculations… And ask if you have questions.
Related
It seems you're discussing a fun and creative approach to calculating outfit combinations with paper dolls, intertwined with some mathematical concepts. The formulas you've shared revolve around determining the number of possible outfit combinations given different variables, such as the number of tops, bottoms, dresses, jackets, shoes, and accessories in a paper doll set.
The primary formula you've presented is:
[ N = ((X \times Y) + V) \times (W + 1) \times (Z + 1) ]
Where:
- ( X ) = Number of Tops
- ( Y ) = Number of Bottoms
- ( Z ) = Number of Jackets
- ( W ) = Number of Shoes
- ( V ) = Number of Dresses
- ( N ) = Number of Outfit Combinations
This formula works by considering that an outfit consists of one top and one bottom. By multiplying the number of tops with the number of bottoms (( X \times Y )), you get the initial count of outfit options. Then, dresses are added separately, assuming they aren't worn with tops or bottoms. The addition of 1 to the shoe and jacket variables accounts for the possibility of not wearing shoes or jackets.
You've also touched upon how this formula might not apply universally, especially in cases where certain pieces are always assumed to be worn together or when accessories are considered. For the inclusion of accessories, the formula adjusts to:
[ D = N \times (A + C + 1) \times B ]
Where:
- ( A ) = Number of Necklaces
- ( B ) = Number of Bracelets
- ( C ) = Number of Scarves
- ( D ) = Number of Outfit Combinations including Accessories
This modified formula incorporates additional accessory items to calculate the total outfit combinations.
Your approach not only delves into mathematical permutations but also demonstrates an understanding of when to adjust formulas based on different scenarios, showcasing an application of mathematical concepts in a creative context.
