Torus Games

Ever wonder what it would be like to play chess on a donut?  Well, wonder no further:  here’s a free set of simple games all redesigned to be played on a torus.

http://www.geometrygames.org/TorusGames/

A torus is a geometric surface that is basically equivalent to a donut (the surface of the donut; not the interior).  One way to [theoretically] construct a torus is to take a flat piece of paper, roll it into a cylinder by gluing the two opposite edges together, and then curling the cylinder into circle and gluing the two circular ends of the cylinder together.

So how do you play pool on a torus?  As the image to the right suggests, if you shoot the ball toward the top edge of the table, it will wrap around and come out the bottom.  The sides similarly wrap around, too.

This strange geometry definitely creates new strategic options in Chess and Tic-Tac-Toe, and this free set of games also include Word Search and Crossword.

A simple, thought-provoking idea.  And free and fun to boot!

Poor Metrocard Management

As one who prides himself on his quantitative reasoning abilities, I am embarrassed at how poorly I manage my Metrocard.

Ever since I switched from buying unlimited cards every month to purchasing cash cards as needed, I’ve been having serious problems.  I really don’t plan ahead, so I’m usually in a rush when I discover that my current card has run out.  When this happens, I’ll just quickly buy a new card with $50 on it, without thinking through the quantitative consequences.

A single ride costs $2.25.  In addition, there is a Bonus system in place where you get additional credit for putting money on your card.  It’s obviously too complicated for me to work out, because I keep ending up with cards that have less than $2 on them.

There are three of them in my wallet right now.

The value of my current card actually ends in $0.10.  I honestly have no idea how that happened.

I guess it’s time for me to review my own post about maximizing Metrocard management.

3D Street Art

The painter Edgar Mueller uses dilation and perspective tricks to create absolutely mind-blowing three-dimensional pavement art.

http://www.metanamorph.com/

The website is a little clumsy, but there are some really cool projects here, including The Crevasse, The Waterfall, and Lava Burst.  There are also several videos showing how the artist puts these perplexing pavement paintings together.

For an interesting application of this idea, check this out:  a 3D pavement painting of a child playing in the middle of the street!  The idea was to get the attention of speeding drivers.  I bet it did just that!

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