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 "t" then "h" then "e" then "o" then "r" then "e" then "m" 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

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

Archive

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