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
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https://abs.twimg.com/emoji/v2/... draggable="false" alt="👇" title="Down pointing backhand index" aria-label="Emoji: Down pointing backhand index">
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#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
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🌸" title="Cherry blossom" aria-label="Emoji: Cherry blossom">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😍" title="Smiling face with heart-shaped eyes" aria-label="Emoji: Smiling face with heart-shaped eyes">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🌸" title="Cherry blossom" aria-label="Emoji: Cherry blossom">
You could make a daffodil-yellow version for Easter...
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🐰" title="Rabbit face" aria-label="Emoji: Rabbit face">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🐣" title="Hatching chick" aria-label="Emoji: Hatching chick">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="💐" title="Bouquet" aria-label="Emoji: Bouquet">
Instructions: https://www.wikihow.com/Make-a-Kusudama-Flower">https://www.wikihow.com/Make-a-Ku... & https://www.wikihow.com/Make-a-Kusudama-Ball
https://www.wikihow.com/Make-a-Ku... href="https://twtext.com//hashtag/3DMaths"> #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-Ku... & https://www.wikihow.com/Make-a-Kusudama-Ball
https://www.wikihow.com/Make-a-Ku... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
2) Something yummy next: a self-supporting, hyperbolic paraboloid @Pringles ring
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😋" title="Face savouring food" aria-label="Emoji: Face savouring food">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😋" title="Face savouring food" aria-label="Emoji: Face savouring food">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😋" title="Face savouring food" aria-label="Emoji: Face savouring food">
More info here: https://interestingengineering.com/geometry-of-pringles-crunchy-hyperbolic-paraboloid
Or">https://interestingengineering.com/geometry-... use Erik Demaine’s instructions to fold paper versions: http://erikdemaine.org/hypar/
https://erikdemaine.org/hypar/&qu... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
More info here: https://interestingengineering.com/geometry-of-pringles-crunchy-hyperbolic-paraboloid
Or">https://interestingengineering.com/geometry-... use Erik Demaine’s instructions to fold paper versions: http://erikdemaine.org/hypar/
https://erikdemaine.org/hypar/&qu... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
3) A fabulous fractal make: @standupmaths and @thinkmaths’ 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
https://www.think-maths.co.uk/downloads... href="https://twtext.com//hashtag/3DMaths"> #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
https://www.think-maths.co.uk/downloads... href="https://twtext.com//hashtag/3DMaths"> #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 @mrallanmaths’ 8000th tweet
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🧻" title="Roll of paper" aria-label="Emoji: Roll of paper">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😁" title="Grinning face with smiling eyes" aria-label="Emoji: Grinning face with smiling eyes">
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🧻" title="Roll of paper" aria-label="Emoji: Roll of paper">
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths https://twitter.com/mrallanmaths/status/1125438241774166017">https://twitter.com/mrallanma...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths https://twitter.com/mrallanmaths/status/1125438241774166017">https://twitter.com/mrallanma...
5) How high can you go? Make a Columbus Cube tower with David Mitchell’s instructions: http://www.origamiheaven.com/pdfs/columbus.pdf
If">https://www.origamiheaven.com/pdfs/colu... you have time, explore his whole website – a treasure trove of mathematical #origami! http://www.origamiheaven.com/
https://www.origamiheaven.com/">... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
If">https://www.origamiheaven.com/pdfs/colu... you have time, explore his whole website – a treasure trove of mathematical #origami! http://www.origamiheaven.com/
https://www.origamiheaven.com/">... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
6) Or how about a tower of skeletal octahedra instead? They’re a great challenge to put together – although you might need an extra pair of hands!
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https://abs.twimg.com/emoji/v2/... draggable="false" alt="🤚" title="Raised back of hand" aria-label="Emoji: Raised back of hand">
Good video instructions from @nrichmaths here: https://wild.maths.org/skeletal-octahedron
https://wild.maths.org/skeletal-... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Good video instructions from @nrichmaths here: https://wild.maths.org/skeletal-octahedron
https://wild.maths.org/skeletal-... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
7) Paper not your thing? Pencils are? You’ll 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">https://www.artfulmaths.com/blog/hexa... 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">https://www.artfulmaths.com/blog/hexa... 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/
https://b3d.drjimo.net/3d-solids... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Thank you to @DrOlsen314 for his blog post here: http://b3d.drjimo.net/3d-solids/burr-puzzle-origami/
https://b3d.drjimo.net/3d-solids... href="https://twtext.com//hashtag/3DMaths"> #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">https://www.artfulmaths.com/blog/tetr...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
For instructions see my #ArtfulMaths blog post here: https://www.artfulmaths.com/blog/tetrahedron-wall-art">https://www.artfulmaths.com/blog/tetr...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
10) Light up your life with beautiful #origami cube lampshades!
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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/">https://origamitutorials.com/sonobe-cu... Can you spot the Pythagoras’ 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/">https://origamitutorials.com/sonobe-cu... Can you spot the Pythagoras’ Theorem proof?
10b) Experienced origamists might wish to try the challenging, but oh-so-stunning, Shuzo Fujimoto Hydrangea cube lamp.
I used @happyfolding’s video instructions for the modules https://youtu.be/zu5F0Hmd3ZA ">https://youtu.be/zu5F0Hmd3... & this video for the construction https://youtu.be/9iM-k7EKMxI
https://youtu.be/9iM-k7EKM... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #Origami
I used @happyfolding’s video instructions for the modules https://youtu.be/zu5F0Hmd3ZA ">https://youtu.be/zu5F0Hmd3... & this video for the construction https://youtu.be/9iM-k7EKMxI
https://youtu.be/9iM-k7EKM... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #Origami
11) Try some kinetic modular #origami and make Yami Yamauchi’s wonderful rotating Fireworks model
https://abs.twimg.com/emoji/v2/... draggable="false" alt="💥" title="Collision symbol" aria-label="Emoji: Collision symbol">
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Again, @happyfolding has some useful video instructions: https://youtu.be/0ORfFjxf_Rk ">https://youtu.be/0ORfFjxf_...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #origami
Again, @happyfolding has some useful video instructions: https://youtu.be/0ORfFjxf_Rk ">https://youtu.be/0ORfFjxf_...
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #origami
12) Or get your tool box out and make some string art. You’ll need a hammer, nails or tacks, and some string. I used a canvas, but any board will do
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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">https://howaboutorange.blogspot.com/2011/11/h... them up to make pretty Easter ornaments
https://abs.twimg.com/emoji/v2/... draggable="false" alt="🐣" title="Hatching chick" aria-label="Emoji: Hatching chick">
#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
String">https://howaboutorange.blogspot.com/2011/11/h... 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
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Diagrams here: https://origamiusa.org/thefold/article/diagram-star-festival">https://origamiusa.org/thefold/a... or @happyfolding video here: https://youtu.be/zOPanlxUMek
https://youtu.be/zOPanlxUM... href="https://twtext.com//hashtag/3DMaths"> #3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Diagrams here: https://origamiusa.org/thefold/article/diagram-star-festival">https://origamiusa.org/thefold/a... or @happyfolding video here: https://youtu.be/zOPanlxUMek
https://youtu.be/zOPanlxUM... href="https://twtext.com//hashtag/3DMaths"> #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
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Enjoy!
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😊" title="Smiling face with smiling eyes" aria-label="Emoji: Smiling face with smiling eyes">
And please feel free to add ideas of your own. Be sure to include instructions, and if you can, photos too
Enjoy!