CURIOSIDADES MATEMÁTICAS

WATER DROPS IN THE SPACE                   

                                          

The shape is sphere. Why?

The shape is sphere because it minimizes the surface, maintaining the volume.

Imaging you drink 50cm3 of water.

Sphere?

50cm3=4/3*pi*r^3->r =root_cub(50*3/4/pi)= (50*3/4/pi)^(1/3)=2.285cm

-> Surface=4 pi r^2= 4*pi*2.29^2=65.63cm2

Why not cube? 
50=l^3->l= root_cub(50)= (50)^(1/3)= 3.684cm

->Surface=6*l^2= 6*3.68^2=81.433cm2

Why not thetrahedron?
(searched in Internet) Vol= root(2)/12*a^3=0.1179*a^3.  

So a (corner)= (424.10)^(1/3)= 7.51cm. So   

->Surface=4* root(3)/4*a^2= root(3)*a^2. So Surface= 3^0.5*7.51^2=97.69cm2

You check that 65.63cm2 of the sphere is smaller than anyone!!

COMPUTADORES

¿Sabías por qué los ordenadores utilizan el código binario para guardar, operar y transferir la información 0101010101110?

La respuesta es muy sencilla. En binario se pueden sumar, restar, multiplicar y dividir números fácilmente. En binario se puede guardar la información muy fácilmente (ver código ASCII para pasar de binario a un número https://es.wikipedia.org/wiki/ASCII).

Es más fácil guardar la información en dos estados que en 10 (sistema decimal). Piensa en vaso lleno, vaso vacío, condensador cargado, condensador descargado. Por último, es muy fácil transmitir el binario con pulsos por fibras ópticas, cables de cobre o radioenlaces.

What is it about Bees and Hexagons?

Solved! A bee-buzzing, honey-licking 2,000-year-old mystery that begins here, with this beehive. Look at the honeycomb in the photo and ask yourself: (I know you've been wondering this all your life, but have been too shy to ask out loud ...) Why is every cell in this honeycomb a hexagon?

The hexagons fit perfectly and do not produce loses of space.

The hexagons are the shape that make the minimum distance between bees, which implies saving of energy (honey is their fuel…)

 Humans have taken the hexagons of the bees and translated them to the position of the distribution of the mobile stations. More efficient communications are thanks to this idea!

 

 https://www.npr.org/sections/krulwich/2013/05/13/183704091/what-is-it-about-bees-and-hexagons