Toby Jake Allen

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...

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...

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. I...

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...