Infographics pages

• The devilish Book of Sand

Some fiction science stories are really weird. Imagine having in your hands a strange book with and infinite number of pages.

• An experiment in infinity

Imagine having an infinite string of random digits. Can we say that the digits of the square root of 2 must be somewhere present in that string?

◊ The mathematics of cubism

Certain artistic movements have been influenced by mathematical schools of thought like the fourth dimension and the theory of relativity.

◊ What games can you play in Flatland?

Certain activities of our everyday life can be carried only in the dimensions we live in. What games can we play in Flatland?

• What? I cannot double the cube?

Not every imaginable construction is mathematically possible. We cannot make a cube that is twice the volume as another given cube.

• Cardinality and the power set

Power set is a strong concept in set theory. From power sets we arrive at the concept of the infinite. However, the power set idea leads to several kinds of bizarre infinites.

• A strange property of the right triangle

We know that in a square triangle the square over the hypotenuse has the same area as the sum of the other two squares. However, this is true for any similar figures we draw on those sides.

• Infinite weird schemas for Pi

The number Pi (3.1415...) can be computed in several ways. See some on the strangest formulas for it.

• The evolution of the complex numbers

Complex numbers are very useful and essential in modern engineering. Why are they called "complex"?

• Two curious infinite series

Some infinite series converge to a specific number while other series diverge toward infinity. A small variation in their elements can make a lot of difference.