Have you ever wondered what colour you would get if you mixed all the colours in a flag?

Even if you haven't, have a look at what you would get: I made it and put it on Cats in Drag

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## Monday, 31 December 2012

###
Flags of the World

## Friday, 2 November 2012

###
Tube Map Platonic Solids, pt. 2

## Saturday, 6 October 2012

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Tube Map Platonic Solids

## Thursday, 28 June 2012

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Poem #4: Rhyme

## Saturday, 23 June 2012

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Poem #3: Applause

## Friday, 22 June 2012

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Poem #2: Cricket

## Thursday, 21 June 2012

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Poem #1: Michael

## Labels

"The best blog I've seen all day."

Have you ever wondered what colour you would get if you mixed all the colours in a flag?

Even if you haven't, have a look at what you would get: I made it and put it on Cats in Drag

Following my previous post, I did a little more folding.

The post was linked to on Going Underground's Blog where it received this comment:
In response to which I made this from 48 tube maps:

Also since the last post, I left 49 tetrahedrons at tube stations in a period of just over two weeks. Here's a pie chart showing which stations I left them at: Of these 49, only three were still there the next time I passed through the station: Due to the very low recapture rate, little more analysis can be done. Although I do wonder where they all ended up. Do you work at one of those stations and threw some away? Or did you pass through a station and pick one up? Or was it aliens and ghosts?

For my next trick, I want to gather a team of people, pick a day, and leave one at every station that day. If you want to join me, comment on this post, tweet me or comment on reddit and we can formulate a plan. Including your nearest station(s) in your message will help us sort out who takes which stations...

The post was linked to on Going Underground's Blog where it received this comment:

Also since the last post, I left 49 tetrahedrons at tube stations in a period of just over two weeks. Here's a pie chart showing which stations I left them at: Of these 49, only three were still there the next time I passed through the station: Due to the very low recapture rate, little more analysis can be done. Although I do wonder where they all ended up. Do you work at one of those stations and threw some away? Or did you pass through a station and pick one up? Or was it aliens and ghosts?

For my next trick, I want to gather a team of people, pick a day, and leave one at every station that day. If you want to join me, comment on this post, tweet me or comment on reddit and we can formulate a plan. Including your nearest station(s) in your message will help us sort out who takes which stations...

Labels:
Folding Paper,
Folding Tube Maps,
London Underground,
Maths,
Maths Articles,
Platonic Solids

This week, after re-reading chapter two of *Alex's Adventures in Numberland* (where Alex learns to fold business cards into tetrahedrons, cubes and octahedrons) on the tube, I folded two tube maps into a tetrahedron:

Following this, I folded a cube, an octahedron and an icosahedron:

The tetrahedron, icosahedron and octahedron were all made in the same way, as seen in*Numberland*: folding the map in two, so that a pair of opposite corners meet, then folding the sides over to make a triangle:

In order to get an equilateral triangle at this point, paper with sides in a ratio of 1:√3 is required. Although it is not exact, the proportions of a tube map are close enough to this to get an almost equilateral triangle. Putting one of these pieces together with a mirror image piece (one where the other two corners were folded together at the start) gives a tetrahedron. The larger solids are obtained by using a larger number of maps.

The cube—also found in*Numberland*—can me made by placing two tube maps on each other at right angles and folding over the extra length:
Six of these pieces combine to give a cube.

Finally this morning, with a little help from the internet, I folded a dodecahedron, thus completing all the Platonic solids:

To spread the joy of folding tube maps, each time I take the tube, I am going to fold a tetrahedron from two maps and leave it on the maps when I leave the tube. I started this yesterday, leaving a tetrahedron on the maps at South Harrow. In the evening, it was still there: Do you think it will still be there on Monday morning? How often do you think I will return to find a tetrahedron still there? I will be keeping a tetrahedron diary so we can find out the answer to these most important questions...

Following this, I folded a cube, an octahedron and an icosahedron:

The tetrahedron, icosahedron and octahedron were all made in the same way, as seen in

In order to get an equilateral triangle at this point, paper with sides in a ratio of 1:√3 is required. Although it is not exact, the proportions of a tube map are close enough to this to get an almost equilateral triangle. Putting one of these pieces together with a mirror image piece (one where the other two corners were folded together at the start) gives a tetrahedron. The larger solids are obtained by using a larger number of maps.

The cube—also found in

Finally this morning, with a little help from the internet, I folded a dodecahedron, thus completing all the Platonic solids:

To spread the joy of folding tube maps, each time I take the tube, I am going to fold a tetrahedron from two maps and leave it on the maps when I leave the tube. I started this yesterday, leaving a tetrahedron on the maps at South Harrow. In the evening, it was still there: Do you think it will still be there on Monday morning? How often do you think I will return to find a tetrahedron still there? I will be keeping a tetrahedron diary so we can find out the answer to these most important questions...

Labels:
Folding Paper,
Folding Tube Maps,
London Underground,
Maths,
Maths Articles,
Platonic Solids

This poem here doth truly rhyme,

I wrote it in so little time.

I wrote it in so little time.

Applause applause applause applause

Applause applause applause

Applause applause applause applause

Applause applause a-chores

Applause applause applause

Applause applause applause applause

Applause applause a-chores

All white, what a night,

Ball red, front foot led,

Down the green, swinging, mean,

"All out!" umpires shout.

Ball red, front foot led,

Down the green, swinging, mean,

"All out!" umpires shout.

By Jove, Gove!

Put the kettle on the stove, Gove.

I don't know when you arrove, Gove.

I'm beginning to loathe Gove.

Oh no (ve), Gove!

Put the kettle on the stove, Gove.

I don't know when you arrove, Gove.

I'm beginning to loathe Gove.

Oh no (ve), Gove!

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