Add new comment

Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.
Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!
How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?
Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.
PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.
So 3^^3 is a power tower of 3s, 3 high, so 4^^5 is a power tower of 4s, 5 high. 3^^^3 is a power tower feeding frenzy, where there are 3 towers (because of the second three) and they all have the same base number (3, because of the first three). The difference between the towers is the height. The first tower is 3 high (the same as the base number), and once that is multiplied out, that is the HEIGHT of the next one. This continues forth. This also means that 4^^^5 (for example) would be 5 towers of 4s, the first one being 4 high. 3^^^^3 is a power tower feeding frenzy psycho festival, where there are 3 feeding frenzies (because of the second three). Once the final number in the first frenzy is multiplied out, that becomes the NUMBER OF TOWERS in the second frenzy (the first beginning with the height of the base number). This means that our 4^^^^5 example would be 5 frenzies, each with a base number of 4. This doesn't continue onwards in Graham's number (since he made 3^^^^3 into g1) but 3^^^^^3 would be a power tower feeding frenzy psycho festival national celebration, where there are 3 FESTIVALS, each finishing number being the number of frenzies in the next one. It just iterates upwards.
Note: This might not have clarified anything, just wanted to say it to try and help :)