Pinned toot

This predates my Mastodon accounts but it ought to be on here so here it is: my interactive blog about the domino computer.

andrewt.net/maths/domputer/

I've had at least two marketing emails today from companies suggesting I use their products to cheer myself up today but carefully not mentioning any particular calendar-based reason for doing so.

so, how do you solve operator precedence? do you encode it in the grammar? do you use Pratt parsing? hell no

There's a great song lyric in the fact that anything to the power of love gives unity.

@andrewt As if this weren't all confusing enough, I believe the set of points depicted here is what's technically known as collielinear.

@andrewt It's the prefix col- which sometimes occurs in latin-derived words instead of co- or com- with base words that begin with an 'l'. You see it in "collateral" and "colloquial" and even in "college" and "collegial." That said, I think the one-l version, "colinear" is widely accepted as correct these days.

OK so today all the available evidence is telling me that the maths word for "on the same line" is "collinear" with two Ls and it's pronounced like it's spelled, like it's about Colin's ear, and just what the hell? I've been writing and saying "colinear" and just what is this?

Someone posted a gif of this effect on birdsite and I wanted to understand it so I've built it as a space-warping raymarcher.

Its some lovely maths that I think I *mostly* understand now:

shadertoy.com/view/3t2Xzy

A problem shared is equal to the sum of the problems on the other two sides.

@11011110 @andrewt fun fact. there's an exact formula for how many x,y satisfy xΒ²+yΒ²=n. it's 4 times (the number of factors of n of the form 4k+1 - the number of factors of n of the form 4k+3). another fun fact: this ties into the average being Ο€ through the Taylor expansion of arctan(1)=Ο€/4

My latest bloggy thing:

solipsys.co.uk/new/TheSideways

As always, comments, thoughts, criticisms, and feedback, all welcome.

Have to say that this "one blog post per week" is a brutal schedule.

Also, here's a maths puzzle for Ο€-day:

Adding the brackets from this Alex Bellos column theguardian.com/science/2019/m to the numbers 1, 2, 3, 4 β€”

[1, 2] β†’ 12
⟨1, 2⟩ β†’ 21
⟨[⟨1, 2⟩, 3], 4⟩ β†’ ⟨[21, 3], 4⟩ β†’ ⟨213, 4βŸ©β†’ 4213

…we can make any number except 2413, and which other?

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This is a nice little trick but a bafflingly poor article. How can anyone write an entire article about a single tweet without having understood the tweet?
mirror.co.uk/news/weird-news/m

This would make a strong contender in the MathsJam bake off.

Also v good doggo in VR, which is a plus
youtu.be/TCwQweljegc

Further evidence the tiny L-P is a mathematician, at bathtime last night:

* holding a bottle full of water *
"Can you put some water in the jug, please?"
* stands bottle upright in jug, spilling none *

Must learn to speak more precisely __to my 1 year old__

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