
The golden ratio arises if you want to divide a line into two parts so that the ratio of the larger to the smaller part is the same as the ratio of the larger part to the whole line.
is the golden ratio squared and then squared again. 29i i = 6.03 shows off the surprising fact that an imaginary number (the square root of -1) to the power of an imaginary number is actually a real number. You can find tables of knotty things on the website KnotInfo, including any values which are still unknown. Finding the determinant was the first step in this method. This was a knot which featured in my thesis, as I used new techniques to show that it had infinite order in the knot concordance group. det(12n 488) is the determinant of the 488th non-alternating 12-crossing knot. The natural logarithm is related to the mathematical constant e, which arises whenever a quantity is growing at a rate proportional to its current value for example, compound interest. Logarithms were invented by the Scottish mathematician John Napier and are important in many branches of maths and science. is the integral (area under the curve) of the natural logarithm function between and. The fact that c is constant leads to lots of crazy consequences, such as time passing slower for moving objects and moving objects shortening in length. The theory of relativity says that this is constant, regardless of the observer, and that nothing in the universe can go faster than this. c × 10 -8 =2.9979 is the speed of light in a vacuum, measured in metres per second. However, despite the infinite number of steps in the sequence it actually has a finite value. He claimed that motion was impossible, because before you could get somewhere you’d have to get halfway there, but then you’d have to get halfway to the halfway point and so on. MATHEMATICS GEEK CLOCK SERIES
It’s an example of a geometric series and was first discussed in ancient Greece when Zeno came up with his paradoxes.
is the sum which turns out to be exactly equal to 2. Its existence means that energy only comes in discrete packets, or quanta, which was a massive discovery in 20th century physics. This number relates the energy of a photon to its angular velocity and is one of the basic units in quantum mechanics. ℏ × 10 34 = 1.05 is the reduced Planck constant that is, the Planck constant divided by 2π. All physical constants are in standard SI units. I thought I would go through the numbers and say what they mean and why we chose them. It was designed by myself and Albert and then built by Kate Wharmby, who is also very talented at making stained glass and has made me a lovely trefoil knot too. I’m loving this new addition to my flat: a geeky maths/science clock.