Making things with your hands is wonderfully therapeutic - great for stress relief & attaining a state of flow.
With that in mind: a thread of hands-on 3D maths projects for lockdown


#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #Mathsart #MathArt #MakersGonnaMake
With that in mind: a thread of hands-on 3D maths projects for lockdown



#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #Mathsart #MathArt #MakersGonnaMake
1) First off, one of my old favourites: a dodecahedral kusudama flower ball 


You could make a daffodil-yellow version for Easter...


Instructions: https://www.wikihow.com/Make-a-Kusudama-Flower & https://www.wikihow.com/Make-a-Kusudama-Ball
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths



You could make a daffodil-yellow version for Easter...



Instructions: https://www.wikihow.com/Make-a-Kusudama-Flower & https://www.wikihow.com/Make-a-Kusudama-Ball
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
2) Something yummy next: a self-supporting, hyperbolic paraboloid @Pringles ring 


More info here: https://interestingengineering.com/geometry-of-pringles-crunchy-hyperbolic-paraboloid
Or use Erik Demaineâs instructions to fold paper versions: http://erikdemaine.org/hypar/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths



More info here: https://interestingengineering.com/geometry-of-pringles-crunchy-hyperbolic-paraboloid
Or use Erik Demaineâs instructions to fold paper versions: http://erikdemaine.org/hypar/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
3) A fabulous fractal make: @standupmaths and @thinkmathsâ Sierpinski tetrahedrons. Go as big as you dare!
Or try your hand at a Menger Sponge or Koch Snowflake: https://www.think-maths.co.uk/downloads/building-3d-fractals
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #MathsArt #Fractals
Or try your hand at a Menger Sponge or Koch Snowflake: https://www.think-maths.co.uk/downloads/building-3d-fractals
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #MathsArt #Fractals
4) Been stockpiling? Use up those empty toilet rolls to make this fantastic truncated icosahedron with the instructions from @mrallanmathsâ 8000th tweet 


#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths https://twitter.com/mrallanmaths/status/1125438241774166017



#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths https://twitter.com/mrallanmaths/status/1125438241774166017
5) How high can you go? Make a Columbus Cube tower with David Mitchellâs instructions: http://www.origamiheaven.com/pdfs/columbus.pdf
If you have time, explore his whole website â a treasure trove of mathematical #origami! http://www.origamiheaven.com/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
If you have time, explore his whole website â a treasure trove of mathematical #origami! http://www.origamiheaven.com/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
6) Or how about a tower of skeletal octahedra instead? Theyâre a great challenge to put together â although you might need an extra pair of hands! 

Good video instructions from @nrichmaths here: https://wild.maths.org/skeletal-octahedron
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths


Good video instructions from @nrichmaths here: https://wild.maths.org/skeletal-octahedron
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
7) Paper not your thing? Pencils are? Youâll need a lot of them for the fantastically rewarding Hexastix!
See my #ArtfulMaths blog post here with excellent video instructions from @standupmaths: https://www.artfulmaths.com/blog/hexastix
PS elastic bands disintegrate so best use string instead
See my #ArtfulMaths blog post here with excellent video instructions from @standupmaths: https://www.artfulmaths.com/blog/hexastix
PS elastic bands disintegrate so best use string instead
8) Back to some #origami! This paper version of a popular six-piece burr puzzle is a lovely fold, and would make a great gift.
Thank you to @DrOlsen314 for his blog post here: http://b3d.drjimo.net/3d-solids/burr-puzzle-origami/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Thank you to @DrOlsen314 for his blog post here: http://b3d.drjimo.net/3d-solids/burr-puzzle-origami/
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
9) Explore the tessellating properties of A-sized paper and create some tetrahedron wall art.
For instructions see my #ArtfulMaths blog post here: https://www.artfulmaths.com/blog/tetrahedron-wall-art
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
For instructions see my #ArtfulMaths blog post here: https://www.artfulmaths.com/blog/tetrahedron-wall-art
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
10) Light up your life with beautiful #origami cube lampshades! 


Use baking or tracing paper with LED bulbs or fairy lights.
10a) These instructions from @origamifolding make the Sonobe lampshade below https://origamitutorials.com/sonobe-cube-lamp-tutorial/ Can you spot the Pythagorasâ Theorem proof?



Use baking or tracing paper with LED bulbs or fairy lights.
10a) These instructions from @origamifolding make the Sonobe lampshade below https://origamitutorials.com/sonobe-cube-lamp-tutorial/ Can you spot the Pythagorasâ Theorem proof?
10b) Experienced origamists might wish to try the challenging, but oh-so-stunning, Shuzo Fujimoto Hydrangea cube lamp.
I used @happyfoldingâs video instructions for the modules & this video for the construction
#3DMaths #Origami
I used @happyfoldingâs video instructions for the modules & this video for the construction
#3DMaths #Origami
11) Try some kinetic modular #origami and make Yami Yamauchiâs wonderful rotating Fireworks model 


Again, @happyfolding has some useful video instructions:
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #origami



Again, @happyfolding has some useful video instructions:
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #origami
12) Or get your tool box out and make some string art. Youâll need a hammer, nails or tacks, and some string. I used a canvas, but any board will do 
Follow the steps in my photos below, or create some designs or your own...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths

Follow the steps in my photos below, or create some designs or your own...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
13) Cut out these templates from @howaboutorange to make some colourful, slot-together 3D paper balls: https://howaboutorange.blogspot.com/2011/11/how-to-make-3d-paper-ball-ornaments.html
String them up to make pretty Easter ornaments
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
String them up to make pretty Easter ornaments

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
14) And the last one, for now at least: another modular #origami fold, and one of my favourites - Star Festival by Nobuko Okabe 


Diagrams here: https://origamiusa.org/thefold/article/diagram-star-festival or @happyfolding video here:
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths



Diagrams here: https://origamiusa.org/thefold/article/diagram-star-festival or @happyfolding video here:
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
I hope you find something fun to try amongst the thread.
And please feel free to add ideas of your own. Be sure to include instructions, and if you can, photos too
Enjoy!
And please feel free to add ideas of your own. Be sure to include instructions, and if you can, photos too

Enjoy!
