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#1 2010-02-07 11:01:31

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

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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#2 2010-02-08 06:11:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2010-02-08 06:48:09

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

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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#4 2010-02-09 09:36:41

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

Re: Chess Knight Add 3 Sub 3

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


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#5 2010-02-14 13:59:51

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

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.

View Image: DandyLionBBBB.PNG

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


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