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 "z" then "e" then "r" then "o" 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

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

Archive

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