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Explain Stuff With Maths (This challenge is now closed)
As we don't like the idea of anyone taking it easy over Christmas, this week's challenge is to explain things using maths, like this example, or to submit other mathematics-inspired imagery.
( , Wed 23 Dec 2009, 19:15)
As we don't like the idea of anyone taking it easy over Christmas, this week's challenge is to explain things using maths, like this example, or to submit other mathematics-inspired imagery.
( , Wed 23 Dec 2009, 19:15)
What a bargin...
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First post so be kind, feel free to add more Tesco rip-offs!
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( , Tue 5 Jan 2010, 10:09, More)
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First post so be kind, feel free to add more Tesco rip-offs!
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( , Tue 5 Jan 2010, 10:09, More)
Not the first to point this out but maybe the first to put it in a formula.
( , Mon 4 Jan 2010, 16:50, More)
( , Mon 4 Jan 2010, 16:50, More)
Mourning...
...it's my last day of holiday.
A late entry to the maths compo.
( , Mon 4 Jan 2010, 11:34, More)
...it's my last day of holiday.
A late entry to the maths compo.
( , Mon 4 Jan 2010, 11:34, More)
Using maths to explain...maths
This picture courtesy of Wikipedia proves that 1/4 + 1/16 + 1/64 + 1/256 + ... = 1/3.
Let’s say the whole area in this picture has an area of 1. Now concentrate on the black squares. The one in the bottom left hand corner is 1/4 of the total area. The next black square is a quarter of the top right hand corner a quarter the size of the biggest black square so 1/16 of the total area. The next one is a quarter again 1/64 and so on. So we know that all of the black squares together are equal to 1/4 + 1/16 + 1/64 + 1/256 + ...
Now look at the grey squares. In total they are the same as the black squares. Similarly the white squares are in the same arrangement as the black squares. We have three identical sequences of squares and when added together they give the total area of 1. Consequently we can conclude each sequence of squares has area 1/3. So 1/4 + 1/16 + 1/64 + 1/256 + ... = 1/3.
I know this isn't funny but it is big and it is clever and I like this sort of thing.
( , Sun 3 Jan 2010, 2:44, More)
This picture courtesy of Wikipedia proves that 1/4 + 1/16 + 1/64 + 1/256 + ... = 1/3.
Let’s say the whole area in this picture has an area of 1. Now concentrate on the black squares. The one in the bottom left hand corner is 1/4 of the total area. The next black square is a quarter of the top right hand corner a quarter the size of the biggest black square so 1/16 of the total area. The next one is a quarter again 1/64 and so on. So we know that all of the black squares together are equal to 1/4 + 1/16 + 1/64 + 1/256 + ...
Now look at the grey squares. In total they are the same as the black squares. Similarly the white squares are in the same arrangement as the black squares. We have three identical sequences of squares and when added together they give the total area of 1. Consequently we can conclude each sequence of squares has area 1/3. So 1/4 + 1/16 + 1/64 + 1/256 + ... = 1/3.
I know this isn't funny but it is big and it is clever and I like this sort of thing.
( , Sun 3 Jan 2010, 2:44, More)
"The time setting up the spreadsheet is an investment for next time I have a similar query"
Click for bigger (170 kb)
( , Sat 2 Jan 2010, 23:53, More)
Click for bigger (170 kb)
( , Sat 2 Jan 2010, 23:53, More)