Self-Reference & Paradoxes
I'd like to start with a question: could 'I'd like to talk about sheep' ever be a self-referential sentence? The answer is: Maybe! This is a post about paradoxes, normal sentences and self-referential sentences. I mean for it to be short, but it probably won't...
Iterated Function Generalisation
Intro to Functions Skip to the next section if you already know about functions. In maths, a function is an equation, for example '2x+1'. The thing that sets functions and equations apart is that functions can be defined 'f(x) = 2x + 1' and then used later 'f(3) =...
Mandelbrot Exponentials
A few days ago I made a post on fractals and said I would continue it. Well, this is that continuation. This post is about the Mandelbrot variants. The variants I include here are the exponents of the Mandelbrot. Next time I post on fractals it will be about the...
Assorted Fractals
These are some fractals I have been working on recently. I've been very interested in fractals for at least a month; and I would like to show and explain some of the best things I have made using my newfound expertise. Explanation Before starting I would like to...
Perfect Numbers 1
Perfect Numbers are numbers that equal the sum of their factors divided by two. 6 is perfect, as its factors are 1, 2, 3 and 6; and (1+2+3+6)/2 = 6. Here are the first 4: 6, 28, 496, 8128. As you can see, they get big very fast. This is a proof that all perfect...
Unity Camera Manipulation
Today I did a games engine called Unity. I made a new project, in 3D, called Maze. It’s not a maze right now, just a weird abstract place where you have to stare at the sun (I’ll get to that later). The default camera and directional light (a.k.a. sun) appeared. I...
Grammar and Vocabulary
I learned / practiced / showed off my grammar skills today. Dad downloaded some grammar apps and said ‘If you learn everything here, then you’ll be a grammar genius’ and started a quiz on one of them. I got 19/20 questions right and the app gave me a ton of badges....
Monday 20th September
Soto you do something to do with chemistry stay on Khan Academy tell me more about that because then it has protons in its nucleus and protons make a slightly stronger force between the electrons and the radius so there's a stronger call between the electrons and...
Daily blog – Fri 17th Sept
Toby has been practicing piano. He has been writing up the rules to Gate and thinking about conflicts and uncertainties in the game. He has also been thinking about systems where different coloured pieces on a chess board have different functions - like copy, pull,...
Daily blog – Thurs 16th Sept
Toby and I played a few games of his new game Gate. He also wrote up the rules to the game in Google docs. If I am organised, I’ll get the rules onto the blog soon! Toby again practised lots of piano. He spent a long time on Beyond Sudoku! Toby has been reading the...