mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

Tube map Platonic solids, pt. 3

 2015-01-31 
This is the third post in a series of posts about tube map folding.
In 2012, I folded all the Platonic solids from tube maps. The dodecahedron I made was a little dissapointing:
After my talk at Electromegnetic Field 2014, I was shown the following better method to fold a dodecahedron.

Making the modules

First, take a tube map, cut apart all the pages and cut each page in half.
Next, take one of the parts and fold it into four
then lay it flat.
Next, fold the bottom left corner upwards
and the top right corner downwards.
Finally, fold along the line shown below.
You have now made a module which will make up one edge of the dodecahedron. You will need 30 of these to make the full solid.

Putting it together

Once many modules have been made, then can be put together. To do this, tuck one of the corners you folded over into the final fold of another module.
Three of the modules attached like this will make a vertex of the dodecahedron.
By continuing to attach modules, you will get the shell of a dodecahedron.
To make the dodecahedron look more complete, fold some more almost-squares of tube map to be just larger than the holes and tuck them into the modules.
Previous post in series
Tube map Platonic solids, pt. 2
This is the third post in a series of posts about tube map folding.
Next post in series
Tube map stellated rhombicuboctahedron

Similar posts

Tube map kaleidocycles
Electromagnetic Field talk
Tube map Platonic solids, pt. 2
Tube map Platonic solids

Comments

Comments in green were written by me. Comments in blue were not written by me.
 Add a Comment 


I will only use your email address to reply to your comment (if a reply is needed).

Allowed HTML tags: <br> <a> <small> <b> <i> <s> <sup> <sub> <u> <spoiler> <ul> <ol> <li>
To prove you are not a spam bot, please type "nogaxeh" backwards in the box below (case sensitive):

Archive

Show me a random blog post
 2020 

May 2020

A surprising fact about quadrilaterals
Interesting tautologies

Mar 2020

Log-scaled axes

Feb 2020

PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2

Jan 2020

PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

twitter frobel golden ratio matt parker advent calendar manchester science festival gaussian elimination tennis london underground game of life flexagons draughts geogebra sound exponential growth raspberry pi simultaneous equations hats convergence matrix of minors pac-man cambridge oeis countdown bubble bobble finite element method inverse matrices national lottery books realhats sport geometry ucl mathsjam mathslogicbot london error bars coins logic numerical analysis golden spiral arithmetic reddit bodmas binary trigonometry chess computational complexity estimation pythagoras harriss spiral big internet math-off javascript wool world cup european cup cross stitch misleading statistics mathsteroids data visualisation signorini conditions asteroids a gamut of games data electromagnetic field rhombicuboctahedron christmas latex manchester menace ternary python sorting squares tmip games christmas card phd accuracy matrix multiplication php platonic solids talking maths in public folding tube maps hannah fry probability statistics martin gardner pizza cutting football graph theory dragon curves braiding palindromes noughts and crosses rugby speed triangles folding paper weather station puzzles map projections quadrilaterals fractals game show probability video games determinants chalkdust magazine light interpolation machine learning news stickers the aperiodical reuleaux polygons matrices propositional calculus curvature preconditioning people maths royal institution radio 4 royal baby go matrix of cofactors plastic ratio final fantasy logs inline code programming craft boundary element methods chebyshev dates sobolev spaces approximation hexapawn graphs wave scattering nine men's morris polynomials gerry anderson bempp weak imposition captain scarlet dataset

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2020