Mathematical stuff

A cardioid (from the Greek καρδία "heart") is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.



Based on the rolling circle description, with the fixed circle having the origin as its center, and both circles having radius a, the cardioid is given by the following parametric equations:

x = a(2cos[t] - cos[2t])
y = a(2sin[t] - sin[2t])

The boundary of the central bulb of the Mandelbrot set below is a cardioid

Always Said you were the count von count of the forum

I've always enjoyed confuddling people with this one :

a = b

Multiply both side by a :

a^2 = ab (a^2 being a squared)

subtract b^2 from both sides :

a^2 - b^2 = ab - b^2

factorise both sides :

(a + b)(a - b) = b(a - b)

reduce the factorisation by dividing both sides by (a - b) :

a + b = b


We started out saying a = b, so if a = 1, then b = 1, so from the final result, 2 = 1

Clearly there is an error to produce this result, but can you spot it

^^^^
Anything can happen if you divide both sides of an equation by zero.

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A lot more info is here http://en.wikipedia.org/wiki/Golden_ratio

Interesting article on BBC site today
Homer Simpson's scary maths problems
http://www.bbc.co.uk/news/magazine-24724635

^ As a Simpsons fan, very cool. As a math illiterate...neat.

That reminds me of an episode of Futurama where the writer, who holds a PhD in applied math, created a theorem specifically for that episode.
http://gizmodo.com/5618502/futurama-writ...n-the-show

More detail here,
http://theinfosphere.org/Futurama_theorem

Read this earlier today in the pub's newspaper while waiting for my meal to arrive.

As well as being the number of the beast, 666 is the number created when you list or add the first six symbols of the Roman numeral notation together, as in D (500), C (100), L (50), X (10), V (5) and I (1). In Chinese it sounds tonally like the phrase for "things go smoothly" and is therefore a favoured number.

Other interesting numbers were also in the article
see http://www.express.co.uk/entertainment/b...ng-figures

Work this one out :

Funnily enough 'I ate some pie' tonight for my dinner. It was steak and Guinness pie and it was lovely!

Got it.

Here's an easy one :