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Tetrahedron

Tetrahedron puzzle
Tetrahedron
Tetrahedron

Four triangular faces along with six edges meeting at four vertices together describe the regular tetrahedron. The tetrahedron is the root of all entanglements that shape the perceivable bonds that hold life together in this dimension. The regular tetrahedron can be found at the source of all three-dimensional forms and is fundamental in the creation of all patterns and holographic configurations.

“All of the definable structuring of Universe is tetrahedrally coordinate in rational number increments of the tetrahedron. By tetrahedron, we mean the minimum thinkable set that would subdivide the Universe and have the interconnectedness where it comes back upon itself. The basic structural unit of physical Universe quantation, tetrahedron has the fundamental prime number oneness.”

Buckminster Fuller

“Within it (tetrahedron) lies the energy that holds all life together. The bonds that hold atoms, particles and molecules together, all the way down to nanoparticles and all the way up to macroparticles, are tetrahedral. Everything that exists as you conceive of it in a 3-dimensional world, is held together by these tetrahedral bonds.”

Buckminster Fuller

“The tetrahedron is a form of energy package. The tetrahedron is transformable…All of the definable structuring of Universe is tetrahedrally coordinate in rational number increments of the tetrahedron.”

Buckminster Fuller

2 Triangles forming a Tetrahedron
2 Triangles forming a Tetrahedron

“Two Triangular Energy Events Make Tetrahedron: The open-ended triangular spiral can be considered one “energy event” consisting of an action, reaction and resultant. Two such events (one positive and one negative) combine to form the tetrahedron.”

Buckminster Fuller

 

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The shape of the universe

shape of the universe
What shape is the Universe
What shape is the Universe?

There are three possible geometries of the universe: closed, open and flat from top to bottom. The closed universe is of finite size and, due to its curvature, traveling far enough in one direction will lead back to one’s starting point. The open and flat universes are infinite and traveling in a constant direction will never lead to the same point.

Universe with positive curvature. A positively curved universe is described by elliptic geometry, and can be thought of as a three-dimensional hypersphere, or some other spherical 3-manifold (such as the Poincaré dodecahedral space), all of which are quotients of the 3-sphere.

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TREE[3]

TREE3 EX

Professor Tony Padilla on the epic number, TREE(3). Continues at: https://youtu.be/IihcNa9YAPk

Some math conjectures and theorems and proofs can take on a profound, quasi-religious status as examples of the limits of human comprehension. TREE(3) is one of those examples.

“You’ve got all these physical processes going on in the universe all around you. None of them are anything compared to TREE(3),” says University of Nottingham mathmatics professor Tony Padilla in a new episode of the wonderful YouTube series Numberphile.

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How Many Triangles Do You See? The Answer Will Reveal If You Have High IQ

At first sight, it seems like a simple question to answer. But there’s more to it than meets the eye. So, we have to put our minds to work.

They say that if you can see 18, your IQ is 120 or higher. After you count them select continue. 

Triangles
Triangles

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Pythagorean theorem

Pythagorean Theorem

What do Euclid, 12-year-old Albert Einstein, and American President James A. Garfield have in common?

They all came up with elegant proofs for the famous Pythagorean theorem:

In mathematics, the Pythagorean theorem, also known as Pythagoras’s theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

What do Euclid, 12-year-old Albert Einstein, and American President James A. Garfield have in common?

Source:https://www.facebook.com/TEDEducation/videos/1742518602428005/

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How Many Triangles Do You See? The Answer Will Reveal If You Have High IQ

At first sight, it seems like a simple question to answer. But there’s more to it than meets the eye. So, we have to put our minds to work.

They say that if you can see 18, your IQ is 120 or higher. After you count them look at the next image.  

Triangles
Triangles

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Scientists just got one of the best measures yet of a fundamental of physics

Beneath three glass bell jars, in a locked vault in the basement of a highly secure facility outside Paris, sits the world’s most important kilogram.

The NIST-4 Kibble balance. The instrument was used to calculate Planck’s constant, an important step toward redefining the kilogram. (Jennifer Lauren Lee/NIST PML)
The NIST-4 Kibble balance. The instrument was used to calculate Planck’s constant, an important step toward redefining the kilogram. (Jennifer Lauren Lee/NIST PML)
Ever since 1889, when the General Conference on Weights and Measures (CGPM) made the imperious pronouncement, “this prototype shall henceforth be considered to be the unit of mass,” this platinum and iridium cylinder has served as the standard by which all other kilograms are measured, from the weights on a high-tech lab scale to the plastic discs high schoolers use in chemistry class. It’s known as “le Grand K,” and it’s afforded the security and scrutiny befitting such a fancy title. Even the researchers who work with it can’t touch it, lest their fingertips wipe away atoms or leave residue on the gleaming surface. The vault containing the cylinder can only be opened by gathering three custodians carrying three different keys, and that’s happened fewer than a dozen times in the kilogram’s 127-year history.  Continue reading Scientists just got one of the best measures yet of a fundamental of physics

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Unity of Geometry

geometry

Unity of Geometry – Root Power : by Jonathan Quintin

Unity of Geometry Root-Power – the Triangle – excerpt

 

 

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Fahrenheit Celsius Kelvin – composite functions

temperature

What is the composite function f o g?

Fahrenheit Celsius Kelvins
Fahrenheit Celsius Kelvins

f is the outer function; g is the inner function. `Suppose f(x) = x-2 and g(x) = x2. (a) Find fog and gof. (fog)(x) = f(g(x)) = f(x2) = x2-2.

In 1954, the tenth general conference on weights and measures adopted the Kelvin K as the basic unit for measuring all international weights and measures. While the kelvin is the standard unit, degrees Fahrenheit and degrees Celsius are still in common use in the United States.

3 temperature conversions
3 temperature conversions

The function C(F)=5/9(F-32) relates Celsius temperatures and Fahrenheit Temperatures. The function K(C)= C + 273.15 relates celsius temperatures and kelvin temperatures.

Let’s convert Fahrenheit to Kelvin. The composition of the function K with the function C is

K(C(F)) = C(F) + 273 = (5/9)(F-32) + 273

Since C converts Fahrenheit to Celsius and K converts Celsius to Kelvin, the composition will convert Fahrenheit to Kelvin.

In English:

  • To convert Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and then divide your answer by 1.8.
  • To convert from Celsius to Fahrenheit, multiply the Celsius temperature by 1.8 and then add 32 to your answer.
  • If you’re trying to convert Celsius to Kelvin, just add 273.15 to the Celsius temperature.
At what temperature are Fahrenheit and Celsius the same?

Let’s solve a system of linear equations graphically then algebraically.

Graphing solution:

Celsius meets Fahrenheit
Celsius meets Fahrenheit

Algebraic solution:

The formulas for converting between degree Celsius and degree Fahrenheit are:

°F = (°C * 9/5) + 32
°C = (°F – 32) * 5/9

To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.

Thermometers Fahrenheit Celsius Kelvin
Thermometers Fahrenheit Celsius Kelvin

°C = (°C * 9/5) + 32
°C – (°C * 9/5) = 32
-4/5 * °C = 32
°C = -32 * 5/4
°C = -40

°F = (°F * 9/5) + 32
°F – (°F * 9/5) = 32
-4/5 * °F = 32
°F = -32 * 5/4
°F = -40

So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.

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Asterism 

noun1. ASTRONOMY

a prominent pattern or group of stars, typically having a popular name but smaller than a constellation.

2. a group of three asterisks (⁂) drawing attention to following text.

Also used as Therefore in mathematics. 

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The Rule of Three in Mathematics

rule-of-three-calculator-150x150The Rule of Three is a Mathematical Rule that allows you to solve problems based on proportions. By having three numbers: a, b, c, such that, ( a / b = c / x), (i.e., a: b :: c: x ) you can calculate the unknown number. The Rule of Three Calculator uses the Rule of Three method to calculate the unknown value immediately based on the proportion between two numbers and the third number.

The working of the Rule of Three Calculator can be expressed as follows:

Rule of Three Calculator

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Math is racist: How data is driving inequality


By Aimee Rawlins September 06, 2016 17:24PM ED

These “WMDs,” as she calls them, have three key features: They are opaque, scalable and unfair.

It’s no surprise that inequality in the U.S. is on the rise. But what you might not know is that math is partly to blame.

In a new book, “Weapons of Math Destruction,” Cathy O’Neil details all the ways that math is essentially being used for evil (my word, not hers).

From targeted advertising and insurance to education and policing, O’Neil looks at how algorithms and big data are targeting the poor, reinforcing racism and amplifying inequality.
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