Tuesday, December 23, 2014

Women are like cars

Women are like cars. You can trade her in for a newer & younger model. But when you miss your old car, it'll have become a classic and out of your price range.

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Saturday, December 13, 2014

Saturday, November 29, 2014


Which do you prefer; 5-star or 5 billion stars?
Answer: The one with a movie star in it.

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Monday, November 24, 2014

Karma is like dominoes

Karma - it is like this man pushes dominoes ... they will eventually fall over him.
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Sunday, November 9, 2014

Halloween nowadays

Do you have gluten-free treats, lady?
I'm lactose intolerant.
I can't eat nuts.
I am caramel-phobic!
Do you have vegan chocolate?
I have a nougat allergy.
Gender neutral candy?
Organic Only!

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Tuesday, November 4, 2014

Tuesday, October 28, 2014

Universe is made up of Morons

Scientists say the universe is made up of protons, neutrons and electrons. They forgot to mention morons.

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Thursday, October 23, 2014

Thursday, October 9, 2014

Why doesn't Osmosis work ?

Why doesn't osmosis work in study - from high info to low info?
Because gravity sucks !

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Monday, September 29, 2014

Plastic packaging

One shark to another: "There's so much plastic packaging on food these days."
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Thursday, September 4, 2014

Spaceship lifts off on moon

Astronaut mumbling to himself:
"Man, in this low gravity I feel like I can lift anything!
I bet I could even lift up the ship!
... Oh crap!"

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Friday, August 29, 2014

Both are grey colour!

Both blocks are grey in colour. Use your finger (or a strip of something) to cover the middle section and observe !
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Monday, August 18, 2014

Optical illusion - moving oranges

If you move the computer screen rapidly up and down, or use the scroll bar to move the browser window rapidly up and down, you can see the central square moving !
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Wednesday, August 13, 2014

Mathematical equations of love, heart, penis and the boomerang


Love is complicated. But the mathematics of it is very simple:
  - It starts with "I love you" where "I love" is a constant, and "you" is a variable.
  - Later on, it is:  1 + 1 = 1
  - And later still:  1 + 1 >= 3
Any questions?

Now, let us explore the mechanics of love.


Love comes from the heart. The mathematical equation of the heart is:

        To see the above graph, go to WolframAlpha website
        At the input area, type in:
            (y - 0.75|x|)^2 + (0.75x)^2 = 1
        And you'll see the heart curve.

You get a slightly different shape of the heart by changing the value of 0.75. Have a try at 0.6 or 0.9 or other values. I find 0.75 more aethetically pleasing.

Actually, it just strikes me that the following parametrised equation
            (y - a|x|^b)^2 + (cx)^2 = d

(where you can set the values of the parameters  a, b, c and d)
can draw just about any heart shaped curve that one can imagine (and more) ... I'm claiming this parametrised equation as Paul Ma's Heart Equation.

So far, no one has disputed my claim in the math.stackexchange forum:

By setting  a=0.75,  b=1,  c=0.75  d=1  into Paul's Heart Equation, it becomes the previously mentioned heart curve.

If you set  a=1,  b=0.5,  c=1  d=4,  you'll produce:
    (y - |x|^0.5)^2 + x^2 = 4

Type the above into the WolframAlpha input area and you'll see that its heart is pretty good looking too:

How about you have a go at various other values of the parameters  a, b, c, d?  Examples are:
    a=0.5,  b=0.5,  c=0.7  d=0.5
    a=0.6,  b=(2/3),  c=0.8  d=0.9

If you discover other good sets of values to use, I would be interested to hear from you.


Now, when you give out love, love always comes back to you. Hence you expect the mathematical equation of a boomerang to be similar to that of a heart, right?  Indeed it is.  Set  a=0.5,  b=1,  c=0.13,  d=1  in Paul's Heart Equation to produce:
    (y - 0.5|x|)^2 + (0.13x)^2 = 1

Type the above into WolframAlpha and you'll get:

Does love make the world go round?

Well, the heart certainly makes the world go round. Take a look at Paul's Heart Equation again:

Let  a=0, b=any, c=1, d=1  and it becomes a perfect circle !
    y^2 + x^2 = 1

But in a real world nothing is ever so perfect.  There are always pits and bumps.
Set  a=1, b=0.5, c=1, d=500  and you'll get:
    (y - |x|^0.5)^2 + x^2 = 500


Of course, you can't talk about love without mentioning the penis.

The mathematical equation of an aroused penis is:
    y = |sin(x)| + 5*exp(-x^100)*cos(x)  from -3 to 3

Type the above into Wolframalpha to produce

A limp penis:  (by ShmemicalShmengineer in Reddit)
    0 = 2.8x^2(x^2(2.5x^2+y^2-2)+1.2y^2(y(3y-0.75)-6.0311)+3.09)
          + 0.98y^2((y^2-3.01)y^2+3) - 1.005

A fat one in polar form:
    y = Cos(x) + Cos(2x)  polar

The Bum

This is covered in my blog
From Golden Ratio to golden arse



This is covered in my blog
Mathematical equations for breasts


Here is one equation from the above link for a pair of breasts:

y =   sqrt(1 - (x+3/2)^2 / (1+(x+3/2)^10)^(1/5))
     + sqrt(1 - (10x+15)^2 / (1+(10x+15)^10)^(1/5)) / 10
     + sqrt(1 - (x-3/2)^2 / (1+(x-3/2)^10)^(1/5))
     + sqrt(1 - (10x-15)^2 / (1+(10x-15)^10)^(1/5)) / 10

The above equation was taken from somewhere on the internet few years ago.
Unfortunately, now I couldn't find the source nor the author anymore  :-(

Post Script

There are other equations for the heart.

    (y^2 + x^2 - 1)^3 - (x^2)*(y^3) = 0

Here is another one:
    x^2 + (y - (2(x^2+|x|-6)) / (3(x^2+|x|+2)))^2 = 36

Using 2 equations:
    y = (1-(|x|-1)^2)^0.5  and  y = -3(1-(|x|/2)^0.5)^0.5  from -2 to 2

In polar form:
    y = x  polar  (x from -1.5pi to 1.5pi)

Another one in polar form:
    y = (sin(x) sqrt(|cos(x)|) / (sin(x) + 1.4)) - 2sin(x) + 2  polar

And another one in polar form - this equation has a name, called a Cardioid:
    y = 1 - sin(x)  polar
Its corresponding Cartesian equation is:
    (x^2 + y^2 + y)^2 = x^2 + y^2

In 3D

(x^2 + 2.25y^2 + z^2 - 1)^3 - (x^2)(z^3) - 0.1125(y^2)(z^3) = 0
(called Taubin heart surface)

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Friday, August 8, 2014

Monday, August 4, 2014

Pi & Pie

The mirror image between Pi and Pie ... a delicious coincidence !

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Wednesday, July 23, 2014

Saturday, July 19, 2014

Monday, July 14, 2014

A winding road in Sri Lanka

The A26 road in Sri Landa ... It starts at Kandy, passes through Digana, Teldeniya, Medamahanuwara, Hunnasgiriya, Udadumbara, Mahiyangana and Belilgalla to reach Padiyathalawa. It is well known for its 18 consecutive hairpin turns.

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Wednesday, July 9, 2014

Winding road to Cristo Redentor de los Andes

Christ the Redeemer of the Andes (Spanish: Cristo Redentor de los Andes) is a monument high in the Andes at 3,832 metres (12,572 ft) above sea level on the border between Argentina and Chile. It was unveiled on 13 March 1904 as a celebration of the peaceful resolution of the border dispute between the two countries.

The statue is located at the pass of La Cumbre, the highest point on the old road between Mendoza in Argentina and Santiago de Chile. The pass is also known as the Church (Iglesia) Pass on the Chilean side and the Bermejo Pass on the Argentine side. The road climbs 1 km over a sinuous 9 km from Las Cuevas (the closest village at the foot of the climb) to the pass.

The road is now principally used as a tourist route to visit the statue, with the main route between the two countries now using the Cristo Redentor Tunnel at the foot of the climb.

Source: http://en.wikipedia.org/wiki/Christ_the_Redeemer_of_the_Andes
Photos are by me ... I was there in January 2009 - it is well worth a visit.

Aconcagua, the highest mountain in South America, is that big mountain to the right of the centre of the above photo.  I climbed it a few days earlier ... write up and photos of the Aconcagua climb are in my blog: http://mntviews.blogspot.com/2009/01/2009-jan-argentina-aconcagua.html

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Friday, July 4, 2014

What is that light in the sky?

For all you budding outdoor enthusiasts ... here is how to identify that light in the sky.

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Sunday, June 29, 2014

Ugly looking Goblin Shark

Goblin Shark (Mitsukurina owstoni) is a rare, poorly understood species of deep-sea shark. Sometimes called a "living fossil". This pink-skinned animal has a distinctive profile with an elongated, flattened snout, and highly protrusible jaws containing prominent nail-like teeth. It is usually between 3 and 4 m (10 and 13 ft) long when mature. Goblin Sharks inhabit upper continental slopes, submarine canyons, and seamounts throughout the world at depths greater than 100 m (330 ft), with adults found deeper than juveniles.

The long snout is covered with ampullae of Lorenzini that enable it to sense minute electric fields produced by nearby prey, which it can snatch up by rapidly extending its jaws.

Source: http://en.wikipedia.org/wiki/Goblin_shark

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Monday, June 23, 2014

Heart vs Brain

A good heart is better than all the heads in the world.
- Edward G Bulwer-Lytton

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