mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

Tube map stellated rhombicuboctahedron

 2015-03-24 
This is the fourth post in a series of posts about tube map folding.
A while ago, I made this (a stellated rhombicuboctahedron):
Here are some hastily typed instructions for Matt Parker, who is making one at this month's Maths Jam. Other people are welcome to follow these instructions too.

You will need

Making a module

First, take a tube map and fold the cover over. This will ensure that your shape will have tube (map and not index) on the outside and you will have pages to tuck your tabs between later.
Now fold one corner diagonally across to another corner. It does not matter which diagonal you chose for the first piece but after this all following pieces must be the same as the first.
Now fold the overlapping bit back over the top.
Turn it over and fold this overlap over too.
You have made one module.
You will need 48 of these and some glue.

Putting it together

By slotting three or four of these modules together, you can make a pyramid with a triangle or square as its base.
A stellated rhombicuboctahedron is a rhombicuboctahedron with a pyramid, or stellation on each face. In other words, you now need to build a rhombicuboctahedron with the bases of pyramids like these. A rhombicuboctahedron looks like this:
en.wiki User Cyp, CC BY-SA 3.0
More usefully, its net looks like this:
To build a stellated rhombicuboctahedron, make this net, but with each shape as the base of a pyramid. This is what it will look like 6/48 tube maps in:
If you make on of these, please tweet me a photo so I can see it!
Edit: Proof that these instructions can be followed:
Previous post in series
Tube map Platonic solids, pt. 3
This is the fourth post in a series of posts about tube map folding.
Next post in series
Tube map kaleidocycles

Similar posts

Tube map Platonic solids, pt. 2
Tube map kaleidocycles
Tube map Platonic solids, pt. 3
Electromagnetic Field talk

Comments

Comments in green were written by me. Comments in blue were not written by me.
I wish you'd make the final stellation of the rhombicuboctahedron! And show us! I know the shapes of the faces but have been stuck two years on the assembly!
Roberts, David
                 Reply
 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 "x" then "-" then "a" then "x" then "i" then "s" in the box below (case sensitive):

Archive

Show me a random blog post
 2020 

Jul 2020

Happy √3π-3 Approximation Day!

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

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

Archive

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