Math Is Fun Forum

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Chess Knight Add 3 Sub 3

If you know how a knight
moves in chess, you might
enjoy this little matrix I
just came up with that has
to do with adding and
subtracting the number 3.

Last edited by John E. Franklin (2010-02-07 15:07:13)

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bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Chess Knight Add 3 Sub 3

Hi John;

We only have one problem here. If you take the tour 1 - 8 - 5 - 2 - 9 ? Only works if we are using modular arithmetic.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Chess Knight Add 3 Sub 3

Yes, I'm only looking at the last digit.
Like 1 - 8 = 11 - 8 = 3

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John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Chess Knight Add 3 Sub 3

Last edited by John E. Franklin (2010-02-14 14:05:51)

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John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Chess Knight Add 3 Sub 3

Here's something I kind of like for adding numbers together
in my head, or on paper if you come up with shortcut
drawings and dots...

By putting the zero and five at the
center points, some very
nice symmetry occurs in adding
pairs of numbers together.
There are 55 adding problems we
remember as children, 36 that are
not trivial (without 1 or 0 in them).
Try them all on this for fun in
geometric groups such as diagonals,
poles, longest diagonals, doubles,
horizontal beams, 5 added to any number,
etc.

Last edited by John E. Franklin (2010-02-17 04:57:03)

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