b3ta.com challenge: explain stuff with maths
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explain stuff with maths

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)
Pages: 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 (or see the latest posts)
# What a bargin...
tesco value maths

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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)
# Useful formula to remember

(, Thu 24 Dec 2009, 9:55, More)
# lolExcel

(, Wed 23 Dec 2009, 20:36, More)
# Maths!

(, Thu 24 Dec 2009, 18:50, More)
#

(, Thu 24 Dec 2009, 7:17, More)
# All women are created equal.
=

(, Mon 4 Jan 2010, 23:20, More)
# its funny because its true

(, Thu 24 Dec 2009, 11:20, More)
# hahaha... wut!?

(, Wed 23 Dec 2009, 22:08, More)
# Happy New Year! :D

(, Fri 1 Jan 2010, 14:25, More)
# All is not well with the Numberjacks...

(, Mon 4 Jan 2010, 19:00, More)
# this is about my limit

(, Wed 23 Dec 2009, 22:21, More)
# Sorted.

(, Sun 27 Dec 2009, 14:47, More)
# Good evening everybody! :D

(, Wed 30 Dec 2009, 23:09, 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)
# lol trigonometry

(, Thu 24 Dec 2009, 22:56, More)
# gonna have to work this out

(, Wed 23 Dec 2009, 22:25, More)
# Venn vill he realise....

(, Thu 24 Dec 2009, 0:07, More)
# It's a road sin!

(, Fri 1 Jan 2010, 19:36, More)
# This Explains Nothing!


Other than how my brain works/doesnt work...

Also Pains me to say that I wasnt sure if I'd labelled the opposite and adjacent right...
(, Sat 26 Dec 2009, 18:52, More)
# pfft, have a pearoast

(, Thu 24 Dec 2009, 18:57, More)
Pages: 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 (or see the latest posts)