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Get critical knowledge in many variations like articles, videos, animations, infographics, humor, ebooks, and the latest trend: slide presentations.

Can an Object Be Finite and Infinite at the Same Time?

Yes, because in calculus there are some simple mathematical manipulations that prove that this is possible; it's a beautiful stylish funnel called Gabriel's horn or Torricelli's trumpet.

The Gabriel’s horn is a surprising hollow curved solid funnel with finite volume and infinite surface area. Both properties can mathematically exist together without contradiction. However, this is difficult to accept to our human perception.

But, Gabriel's horn is not the only self-contradictory object. In literature, we have The Book of Sand, a short story by Jorge Luis Borges about a finite book with an infinite number of pages.

How to Read a Book from the 4th Dimension is the book of the strange things. This EBook will advise you on choosing the next books you'll read: or you'll end trying to read a doomed book; a book impossible to read.

That's why the subtitle of the book is: Be one careful with the books you read: Some books should not exist.

Kindle Book Cover: How to Read a Book from the 4th Dimension.

Download this infographic on Gabriel's horn, the impossible funnel that is finite and infinite at the same time.

Being Finite and infinite at the Same Time.

Is the Earth Special or Is the Life on Earth That Is Special?

700 quintillion terrestrial exoplanets is not necessarily a big number of celestial bodies, but it's obviously a huge number.

Yes, the Universe is a marvel, but what should we marvel at? Should we wonder at this huge amount of possible exoplanets, or should we be perplexed that apparently, only ONE planet is supporting life among them all? 

Shouldn't we be wondering at the fact that while almost all exoplanets are more or less identical, life on Earth is incredible varied even at the smallest scale?

Is the Earth Special or Is the Life on Earth That Is Special?.

NASA Mission to the Bennu Meteorite.

NASA is busy with another of its awesome missions; this time an expedition to a distant asteroid. This will be the first U.S. mission to collect a sample of an asteroid and return it to Earth for study.

For this event, NASA is calling all space enthusiasts to send their artistic endeavors on a journey aboard NASA’s Origins, Spectral Interpretation, Resource Identification, Security-Regolith Explorer (OSIRIS-REx) spacecraft. Submissions may take the form of a sketch, photograph, graphic, poem, song, short video or other creative or artistic expression that reflects what it means to be an explorer.

NASA Mission to the Bennu Meteorite.

Has the LIGO Interferometer Sent an Unwanted Message to the Aliens?

Scientists have made a big discovery: they observed the waves in the fabric of spacetime called gravitational waves. This event is a confirmation of the general theory of relativity. This experiment opens an unprecedented new view of the cosmos

However, in the same way that we are observing distant events and activities, some other aliens may be observing us and analyzing what we are doing. 

Has the LIGO Interferometer Sent an Unwanted Message to Aliens?.

The Hubble Space Telescope Discovers an Awesome Moon

The Hubble telescope is a marvel of the modern technology. The hundreds of images sent from space to the Earth have contributed to a better and deeper understanding of the cosmos.

The real surprise will be if the Hubble telescope finds that the universe repeats itself in some dimensions or proportions like a huge cosmic fractal. See by yourself ...

The Hubble Space Telescope Discovers an Awesome Moon.