All humans exhibit an intuitive knowledge of geometry no matter their cultural or educational background. A team of researchers has concluded that this ability develops when children become aware that they exist in three dimensional space.
Euclidean geometry makes it possible to describe space using planes, spheres, straight lines, points, etc. Can geometric intuitions emerge in all human beings, even in the absence of geometric training?
To answer this question, a team of cognitive science researchers elaborated two experiments aimed at evaluating geometric performance, whatever the level of education. The first test consisted in answering questions on the abstract properties of straight lines, in particular their infinite character and their parallelism properties. The second test involved completing a triangle by indicating the position of its apex as well as the angle at this apex.
To carry out this study correctly, it was necessary to have participants that had never studied geometry at school, the objective being to compare their ability in these tests with others who had received training in this discipline. The researchers focused their study on Mundurucu Indians, living in an isolated part of the Amazon Basin: 22 adults and 8 children aged between 7 and 13. Some of the participants had never attended school, while others had been to school for several years, but none had received any training in geometry. In order to introduce geometry to the Mundurucu participants, the scientists asked them to imagine two worlds, one flat (plane) and the second round (sphere), on which were dotted villages (corresponding to the points in Euclidean geometry) and paths (straight lines). They then asked them a series of questions illustrated by geometric figures displayed on a computer screen.
Around thirty adults and children from France and the United States, who, unlike the Mundurucu, had studied geometry at school, were also subjected to the same tests.
The result was that the Mundurucu Indians proved to be fully capable of resolving geometric problems, particularly in terms of planar geometry. For example, to the question Can two paths never cross?, a very large majority answered Yes. Their responses to the second test, that of the triangle, highlight the intuitive character of an essential property in planar geometry, namely the fact that the sum of the angles of the apexes of a triangle is constant (equal to 180°).
Art by Jetter Green
“The Node” is a project of time-image represented as pixels, which is connected to its reinterpretations done by various frequency artists.
“The Node” should be considered as a virtual installation including a collection of recurrences. Each audial redesign of “The Node” will be made by the pure minds in the list below. A notification will be made when each version goes online.
Datachurch has been down the last few weeks due to an internal publishing tool hiccup. Thanks to our killer backend team, we’re back up and reflecting the most novel regions of local reality. Hopefully these videos will provide some excellent data-food to compensate for the down time.
Below are a series of BBC specials designed to provoke the imagination and question the real.
WHAT IS REALITY?
There is a strange and mysterious world that surrounds us, a world largely hidden from our senses. The quest to explain the true nature of reality is one of the great scientific detective stories.
Clues have been pieced together from deep within the atom, from the event horizon of black holes, and from the far reaches of the cosmos. It may be that that we are part of a cosmic hologram, projected from the edge of the universe. Or that we exist in an infinity of parallel worlds. Your reality may never look quite the same again.
Next is a two-part documentary which deals with two of the deepest questions there are – what is everything, and what is nothing?
The first part, Everything, sees Professor Al-Khalili set out to discover what the universe might actually look like. The journey takes him from the distant past to the boundaries of the known universe. Along the way he charts the remarkable stories of the men and women who discovered the truth about the cosmos and investigates how our understanding of space has been shaped by both mathematics and astronomy.
The second part, Nothing, explores science at the very limits of human perception, where we now understand the deepest mysteries of the universe lie. Jim sets out to answer one very simple question – what is nothing? His journey ends with perhaps the most profound insight about reality that humanity has ever made. Everything came from nothing. The quantum world of the super-small shaped the vast universe we inhabit today, and Jim can prove it.
There have been an unusual amount of transformer explosions in the past month all accompanied by huge flashes of blue light in the sky.
Fort Worth Texas experienced an incredible light show on May 11th. The massive blasts were attributed to electrical transformers exploding due to a lightning storm.
The flying orbs of light in the sky at the beginning and end of the video appear to be UFOs and were not attributed to anything.
The next day Fort Atkinson, WI also experienced a transformer blowout accompanied by a strange light in the sky.
Portugal experienced a similar series of blue light explosions as well.
During the earthquake in Japan the same exploding blue lights were spotted.
And in China last year an entire village apparently disappeared in conjunction with a huge blue light.
Here’s a compilation of all the most recent anomalous light activity. The music is way heavy handed but it’s a good roundup.