Five Fascinating Mathematical Objects That Your Pupils Need To See!
Here are five maths objects which will make your pupils go “Wow”! You could introduce one of these surprising specimens as a lesson starter, or during a maths club - they could be a great springboard for further investigation or even form part of an extended homework. Each object is accompanied by a video to bring it to life.
1. Gömböc
![](data:image/jpeg;base64,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)
The Gömböc is a truly remarkable object. It may look like a slightly wonky pebble, when in fact is the world’s first 3D self-righting convex shape which has exactly 2 equilibrium points (one stable and one unstable). In other words – put it on the floor and this strange object will wriggle around before it rights itself. (No hidden weights included).
The existence of the Gömböc was first proved by two Hungarian mathematicians Gábor Domokos and Péter Várkonyi in 2006, before they went on to design and build this amazing object. The pair also study Tortoises, some of which have Gömböc styled shells which help them to right themselves if they are turned over. The fact that this maths is so recent is eye opening for pupils who often imagine the discovery of new mathematics to have finished with Pythagoras.
Resources
Plus Magazine – The Story of the Gömböc
https://plus.maths.org/content/story-gomboc
2. Square Wheeled Bike
![](data:image/jpeg;base64,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)
It might sound impossible, but inventors have made square wheel bikes that work. There is only one small catch – you need to ride them on a surface which uses a special mathematical shape called an inverted catenary. A catenary is the shape you get when you hang a heavy chain - turn a series of catenary curves upside down and you can get riding on your square wheeled bike. You’ve got to see it to believe it.
Resources
3. Menger Sponge
![](data:image/jpeg;base64,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)
The Menger Sponge is probably the most famous 3D fractal that there is. If you haven’t met fractals before, they are typically built by repeating the same simple action over and over again. In fact – a fractal only truly becomes a fractal when the process has been repeated an infinite number of times.
In the case of the Menger Sponge, divide a cube into 27 equally sized smaller cubes. Now remove the cube that’s in the middle of each face as well as the central cube. Now turn to each smaller cube that is left and repeat. Continue this process an infinite number of times and you will have your Menger Sponge.
Fractals have some awesome properties – the Menger Sponge has a mind-boggling INFINITE surface area, but ZERO volume! It would however be a useless sponge in the bath!
Resources
4. Anti-Gravity Cone
![](data:image/jpeg;base64,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)
Normally, rolling up hill doesn’t work unless you have an engine or some other form of power. At first, the normal rules of gravity don’t seem to apply to this amazing cone which just rolls up hill all by itself - in fact the famous recreational mathematician Martin Gardner called it the ‘Anti-Gravity Cone’.
We are left wondering how can this at all be possible? Watch the video below and decide if you can see how it is done. SPOILER ALERT…………. It’s all about centre of mass – if the centre of mass is falling, then that is what’s important, even if the object is ‘rising’. This would be a great video for a Mechanics lesson.
Resources
5. Shapes of Constant Width
![](data:image/png;base64,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)
Only circles are round? True or False? It is a hard question to answer, and if you define roundness to mean a constant width in all directions, then there are lots of 2D shapes which have this property. Shapes of Constant Width are already very familiar to us in the form of coins such as the 20p and 50p pieces - their unchanging width makes them perfect to roll smoothly into vending machines from any angle. Apparently, every amazing maths shape needs to be turned into a bicycle – which is what one ingenious Chinese inventor managed to do with the most famous shape of constant width – the Reuleaux Triangle.
Resources
Shapes of Constant Width Resources for the Classroom
Shapes of Constant Width – The Hidden Properties Of The New Maths Scholar’s Pin Badge
------
Keep up-to-date with the latest Maths Scholarships news:
Find us on Twitter, Instagram, LinkedIn, YouTube, and Facebook.
Join our mailing list or get in touch Here.
------
Image Credits:
Gömböc Image Credit: https://commons.wikimedia.org/wiki/File:G%C3%B6mb%C3%B6c_statue.jpg
Square Wheeled Bike Image Credit: https://commons.wikimedia.org/wiki/File:A_bike_that_can_only_run_on_special_roads.jpg
Menger Sponge Image Credit: https://commons.wikimedia.org/wiki/File:Menger_sponge_(IFS).jpg
Anti-Gravity Cone Image Credit: https://pages.uoregon.edu/physdemo/Additional_Resources/Lund_Writeups/RollingUphill.html
Reuleaux Triangle Image Credit: https://commons.wikimedia.org/wiki/File:Reuleaux_supporting_lines.svg