The Utilities Problem and Solution
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Uploaded by singingbanana on Jul 17, 2009
The utilities problem: can I connect the gas, the electric and the water to three houses without crossing a line. Made in response to Ericsurf6 video, with some proper maths in it.
Eric's original video http://www.youtube.com/watch?v=WyQqY_HzsSo
Instructions to make that pop-up octahedron http://singingbanana.com/popupoctahedron.pdf
Wikipedia on Planar graphs (what we want but don't have) http://en.wikipedia.org/wiki/Planar_graph
Planarity: untangle the planar graphs http://planarity.net/#
- 3,143 likes, 159 dislikes
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Uploader Comments (singingbanana)
Top Comments
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@Megabaseballchamp1 Which makes you cool. Thanks for letting us know how cool you are.
1 week ago 27
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wait, but i still dont understand how did you get the number of corners, faces and vertices.
2 weeks ago 9
All Comments (2,595)
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i know how to do this puzzle...just fold any edge of the paper u r using in tracing the last...the folded part will serve as your bridge to whatever house u target ^^
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@MrFunnylicious The number of vertices is the 3 houses + 3 companies, the number of corners/edges is 9, because u must link each facility to 3 different houses, so you need 9 lines that's where the 6 and 9 come from,then the 5 comes straight from euler's formula
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So basically, we can solve an impossible problem while using a toroid. Marvelous :)
Like in "Thrive", the movie :)
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dude will you be my math teacher?
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@lolcam911 TROLL
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i got it my first time
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@lolcam911 how is he a nerd. If anything he's cool
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NERD
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I am just 12, and from Norway... But like the math!
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HI JAMES!!! YOU CAME TO WESTSIDE GIBRALTAR!! i loved solving your codes ^^
xXxMahomiexXx 4 days ago
@xXxMahomiexXx Hello again!
singingbanana 2 days ago