There ae 43 252 003 274 489 856 000 ways to scramble a Rubik ‘ s Cube.
Most mathematical symbols weren’t invented until the 16th century. Before that, equations were written in words.
Zero Is the Only Number That Can’t Be Represented In Roman Numerals.
If you shuffle a deck of cards properly, it´s more than likely that the exact order of the cards you get has never been seen before in the whole history of the universe.
If you multiply 111,111,111 × 111,111,111 you get 12,345,678,987,654,321 – a palindrome number that reads the same forwards or backwards. And that works all the way back down to 11 x 11 (121) or just 1 x 1 (1).
If there are 23 people in a room, there is amore than 50% chance that two people have the same birthday.
A year isn’t exactly 365 days – it’s 365.2564 days. That’s why we have a leap year every four years.
“Forty” is the only number that is spelled with letters arranged in alphabetical order.
Tesseract is a 4-dimensional analogue of a cube.
“Eleven plus two” is an anagram of “twelve plus one” which is pretty fitting as the answer to both equations is 13.
If you multiply Pi multiplied by the radius squared to find the area and multiply area by height to find the volume, then the volume of a pizza that has a nominal radius of (z) and height (a) will, of course, be: Pi × z × z × a.
2 and 5 are the only primes that end in 2 or 5.
A baseball diamond is a perfect rhombus. A rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles and four equal sides.
From 0 to 1 000, the only number that has the letter “a” in it is “one thousand”.
Prime numbers help Cicadas survive. By cycling at a large prime number, cicadas minimize the change that some bird or other predator can make a living off them.
Astronomer and television personality estimated that writing a googolplex in full decimal form would be physically impossible, since doing so would require more space than is available in the know universe.
2,520 is the smallest number that can be exactly divided by all the numbers 1 to 10.
The observable universe us too small to contain a conventional digital representation of the Graham number. under the assumption that each number occupies at least one Planck unit.
The symbol for division (i. e. ÷) is called an obelus.
The square root of two is called “Pythagoras Constant.”
A circle has the largest area of any shape with the same perimeter.
One way to remember shortened value of Pi (3.1415926) is to count the letters in each word of the question: “May I have a large container of coffee?”
Počet milisekúnd za deň sa rovná 5⁵ × 4⁴ × 3³ × 2² × 1¹.
Its generally accepted that idea of zero as a number was brought up for the first time by Indian astronomer and mathematician Brahmagupta around 600 A.D.
Six is the smallest perfect number (a positive integer that is equal to the sum of its positive divisors).
Six Weeks = 10! Seconds.
Eulers identity is often called “the most beautiful equation” because it manages to encompass the five neutral constants in mathematics.
The largest known prime number so far is 2^82,589,933 – 1.
Complex numbers are used to understand our technological devices because they make up the language of alternating current (AC) electronics.
Íts impossible to comb all the hairs on a tennis ball in the same direction without creating a cowlick. This is because of Hairy Ball Theorem.
If you add up the squares of the first seven prime numbers, you get 666.
There are 52! ways how to shuffle deck of cards.
The number 5,040 is divisible by exactly 60 different numbers.
0/0 is undefined.
The spiral shapes of sunflowers and other patterns in nature follow a Fibonacci sequence, where adding the two preceding numbers in the sequence gives you the next (1, 1, 2, 3, 5, 8, etc.).
Roman numbers were used as a means for Romans to easily price different goods and services, and were widely used throughout the Roman Empire for everyday processes-
The power of exponential growth is shocking. You can actually reach the Moon, if you can fold a paper of 0.1 mm 42 times.
The numerical system we use today-the one that is composed of the 10 symbols (you know: 0,1,2,3,4,5,6,7,8,9) is actually based on a Hindu-Arabuc numeral system.
If you choose a three-digit number with the same digits, add the digits together, divide the original number with the sum the answer for anything would be 37.
X% of y is the same as y% of x.
The Poincaré conjecture claims that if sucha space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere.
Gabriel´s horn is the particular geometric figure that has infinite surface are but finite volume.
Fractals exhibit similar patterns at increasingly smaller scales, a property called self-similarity, also known as expanding symmetry or unfolding symmetry.
Orientability measures whether it is possible to make a consistent choice of surface normal vector at every point.
Shannon Number represents all of the possible move variations in the game of chess. It is estimated between 10^111 and 10^123.
Abacus is considered the origin of the calculator.
For some pairs of functions applies, that one function can be “continuously deformed” into the other.
Modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological space, Hilbert spaces, or probability spaces.
The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state.
Manifold is a topological space that locally resembles Euclidean space near each point. 1-dimensional manifolds include lines and circles. 2-dimensionl manifolds are also called surfaces.
Invariant is a property of a mathematical object which remains unchanged after operations or transformations.
The mathematical concept of infinity and the manipulation of infinite sets are used everywhere in mathematics, even in areas such as combinatorics.
Some areas of mathematics, such as statistics and game theory, are developed in direct correlation with the applications.
The graph of y= e^x always lies above the x-axis, but becomes arbitrarily close to it for large negative x.
Rubik´s cube is an example permutation group.
Mobius strip is a surface with only one side and only one boundary curve.