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Todd Rowland
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Since it is basketball season (right now we are in the middle of March madness) I thought it'd be fun to make a basketball simulation. Basketball Boids is motivated by the boids model of bird flocks, with a term for separation from teammates, a term...
Great post. This function is very useful, although a little difficult to realize when it can help your code. One thing it is good for is for making efficient experiments with CellularAutomaton, because you can get the minimal list that contains...
You are best off finding a representation of your algebra (e.g. if it is associative then maybe you can find a matrix representation), but there is something you can do with generators and relations. Note that it is the relations part that is...
I didn't think of it that way. One universal computer can emulate another one, and you could think of it as an encryption, even if it is not an intentional encryption. There might be some confusion though between the decoding needed by humans from...
Here is an idea to display a [CellularAutomaton][1] evolution where every updated cell shows the neighborhood above it. This might be helpful when explaining to someone how it works. ![plot of rule 30 for 4 steps][2] ECAPlot[history_,...
There are many different kinds of groups, and some have better ways of doing them in Wolfram Language. For finite groups there are permutation representations (see the [tutorial][1]) For continuous groups with matrix representations, you could go...
Here's an idea for a new function. I don't know what its name should be but it would be nice to make some of the graphics you see in [A New Kind of Science (Wolfram 2002)][1] like this one of rule 1599 ![code 1599][2] like the one found on...
Thanks Mark for posting this summary of the World Cup. I wonder about kids and passing, because I have seen them do it in practice. Maybe because the reliable distance of their passes is smaller, they need more players on the field. In the above...
Unfortunately this neat idea is unlikely to work. The parameters are the values of each letter and the base value, which would be 27 variables (or maybe a few more letters used in languages besides English), but the number of equations that would...
Good work! Glad to see you've done another Mentorships project. Sounds like you found that having more data makes it work better.