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How to pass time on a lazy Sunday… (keeping in mind for the past few months you have been working your asses off to make submissions in this deadline crazy months) ? Well for one I clicked on the Chrome Web Store and saw some amazing time killing games.. One of them that caught my attention was Little Alchemy. The game is pretty simple.. you start with 4 basic elements (Air, Earth, Fire and Water) and you combine them to get more elements and so on.. you go on to create complex things like love (:P) , atmosphere, car etc.
But what caught the attention was that the most of the elements combine, and that could be visualized as a network. And by applying standard SNA metrics, we can estimate of these namely 360+ elements, what elements are very crucial in the game?
So I got up a cheat sheet (not proud of it), which basically told how to create around 221 elements out of the possible 360. The graph was created in a manner that if 2 ingredients can be combined to form a new element, an edge was created between those 2 nodes. And this is how we obtain the network. Here is the same visualized with help of ORA ( Please click on the image link, to view it better)
The key node in term of degree centrality were Human, Fire and Plant, thus indicating to get most of the elements, you have to create human as soon as possible.
However in terms of betweenness centrality the key nodes were Metal, Fire and Human.
When all the measures namely degree centrality, clique count, eigenvector centrality, hub centrality, authority centrality, betweenness centrality are all combined, we get the following ranking:
Fire, Human, Plant, Metal, Air and Gunpowder.
This is interesting as it gives you a great idea as to what elements to try mixing incase you are stuck….
There are definitely a few more analysis that can be done, for example, choosing minimum set of nodes such that maximum number of new elements can be created. This seems very similar to influence maximization problem but the difference being you can activate a particular node, if combining 2 of the elements in the already activated set can create that particular element.
Drop me an email – [email protected] if you remotely find this random thingy interesting. And you can play the game @ http://littlealchemy.com/
Signing off
Hemank Lamba
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