My name is Emmanuel. 21. College student. Filipino. This is just another blog of my thoughts and senses.

Engineering. Math. Air Force. Reading. Nerd. Funny. Random. Personal. Life. Everything.
Reblogged from visualizingmath  19,608 notes


Fibonacci you crazy bastard….

As seen in the solar system (by no ridiculous coincidence), Earth orbits the Sun 8 times in the same period that Venus orbits the Sun 13 times! Drawing a line between Earth & Venus every week results in a spectacular FIVE side symmetry!!

Lets bring up those Fibonacci numbers again: 1, 1, 2, 3, 5, 8, 13, 21, 34..

So if we imagine planets with Fibonacci orbits, do they create Fibonacci symmetries?!

You bet!! Depicted here is a:

  • 2 sided symmetry (5 orbits x 3 orbits)
  • 3 sided symmetry (8 orbits x 5 orbits)
  • sided symmetry (13 orbits x 8 orbits) - like Earth & Venus
  • sided symmetry (21 orbits x 13 orbits)

I wonder if relationships like this exist somewhere in the universe….

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Reblogged from astronomynerd  2,335 notes


One Special Day in the Life of Planet Earth

The cameras on NASA’s Cassini spacecraft captured this rare look at Earth and its moon from Saturn orbit on July 19, 2013. Taken while performing a large wide-angle mosaic of the entire Saturn ring system, narrow-angle camera images were deliberately inserted into the sequence in order to image Earth and its moon. This is the second time that Cassini has imaged Earth from within Saturn’s shadow, and only the third time ever that our planet has been imaged from the outer solar system.

Earth is the blue point of light on the left; the moon is fainter, white, and on the right. Both are seen here through the faint, diffuse E ring of Saturn. Earth was brighter than the estimated brightness used to calculate the narrow-angle camera exposure times. Hence, information derived from the wide-angle camera images was used to process this color composite.

Both Earth and the moon have been increased in brightness for easy visibility; in addition, brightness of the Moon has been increased relative to the Earth, and the brightness of the E ring has been increased as well.

The first image of Earth captured from the outer solar system was taken by NASA’s Voyager 1 in 1990 and famously titled “Pale Blue Dot”. Sixteen years later, in 2006, Cassini imaged the Earth in the stunning and unique mosaic of Saturn called “In Saturn’s Shadow-The Pale Blue Dot”. And, seven years further along, Cassini did it again in a coordinated event that became the first time that Earth’s inhabitants knew in advance that they were being imaged from nearly a billion miles (nearly 1.5 billion kilometers) away. It was the also the first time that Cassini’s highest-resolution camera was employed so that Earth and its moon could be captured as two distinct targets.

Credit: NASA/JPL-Caltech/SSI