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
This is the fourth post in a series of posts about tube map folding.
Next post in series
                        
(Click on one of these icons to react to this blog post)

You might also enjoy...

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> <logo>
To prove you are not a spam bot, please type "o" then "d" then "d" in the box below (case sensitive):

Archive

Show me a random blog post
 2024 

Feb 2024

Zines, pt. 2

Jan 2024

Christmas (2023) is over
 2023 
▼ show ▼
 2022 
▼ show ▼
 2021 
▼ show ▼
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

people maths craft mathsjam databet fence posts datasaurus dozen reuleaux polygons menace raspberry pi matrix of cofactors binary rugby asteroids sport matrix multiplication inline code manchester final fantasy golden spiral hexapawn live stream matrices data geogebra braiding christmas wave scattering captain scarlet interpolation gather town squares youtube plastic ratio electromagnetic field draughts matrix of minors a gamut of games london underground cross stitch newcastle bubble bobble curvature data visualisation inverse matrices computational complexity royal baby gaussian elimination javascript phd probability determinants advent calendar christmas card harriss spiral hannah fry nine men's morris manchester science festival bodmas martin gardner latex palindromes correlation crossnumber gerry anderson oeis pizza cutting misleading statistics folding paper ternary video games statistics accuracy tmip preconditioning approximation turtles wool dataset hats programming sorting cambridge ucl pi big internet math-off tennis games boundary element methods error bars guest posts anscombe's quartet php weak imposition platonic solids matt parker estimation books numerical analysis convergence speed machine learning game of life mathsteroids dragon curves realhats talking maths in public rhombicuboctahedron golden ratio 24 hour maths the aperiodical london crochet fractals quadrilaterals python chess exponential growth pac-man logic dinosaurs countdown sobolev spaces royal institution logs light dates signorini conditions puzzles mean go edinburgh hyperbolic surfaces european cup pi approximation day radio 4 chalkdust magazine weather station frobel noughts and crosses bempp polynomials finite element method pascal's triangle chebyshev finite group simultaneous equations recursion folding tube maps triangles reddit stirling numbers news fonts graph theory geometry pythagoras coins national lottery game show probability arithmetic flexagons sound map projections numbers runge's phenomenon propositional calculus zines world cup stickers mathslogicbot football errors graphs standard deviation logo trigonometry

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2024