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# etch-a-sketch math

Best Answer gavinksong, 27 July 2013 - 06:17 AM

Spoiler for My guess

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Posted 27 July 2013 - 02:59 AM

I have two points on a cartesian plane with bounds from (-8,8) for x and y. One point is at (-7,2). I drew a line from this point to another point using etch-a-sketch moves (left/right) and (up/down). Each turn of a dial is a one unit move. I moved the dials a total of nine times. What are alll the possible endpoints?
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### #2 bonanova

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Posted 27 July 2013 - 04:13 AM

What happens at the boundaries?
Do you prohibit moves that would cross them, or like a real E-a-S, just ignore the turning of the knob?
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Vidi vici veni.

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Posted 27 July 2013 - 05:49 AM

The knobs won't turn beyond the boundaries
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Posted 27 July 2013 - 05:54 AM

Bear in mind that I don't mean a straight line necessarily. Just a connected set of line segments
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### #5 gavinksong

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Posted 27 July 2013 - 06:17 AM   Best Answer

Spoiler for My guess

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### #6 bonanova

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Posted 27 July 2013 - 07:18 AM

Spoiler for There are

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Vidi vici veni.

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