006 = Squaring Shirts and Testing Toasters

006 = Squaring Shirts and Testing Toasters

Support us on Patreon!
https://www.patreon.com/aproblemsquared

Submit your data for our toaster investigation.
http://bit.ly/APS_toasterdata

Mike Hill wrote up his calculations as an official report.
https://www.dropbox.com/s/m0njel6x5xcg0z5/T-Shirt%20Quest.docx?dl=0

Energy Scavengers: Static Electricity Could Power the World
https://www.discovermagazine.com/technology/energy-scavengers-static-electricity-could-power-the-world

International Electrotechnical Commission standards 60065
https://webstore.iec.ch/publication/494

Limmy's channel.
https://www.youtube.com/user/LimmyDotComBlog/

Limmys Show: Whats heavier a kilogram of steel or a kilogram of feathers
https://www.youtube.com/watch?v=-fC2oke5MFg

Episoder(122)

018 = Make Your Vote Count & New Species Amount

018 = Make Your Vote Count & New Species Amount

This month, Matt and Bec explore voting systems in elections. Bec wonders what effect it might have to vote for a novelty candidate. And we speak to a special guest who might just know a thing or two about this. Plus a whole heap of quick-fire problem solving! Here's the video Matt mentioned that simulates alternate voting systems: https://www.youtube.com/watch?v=yhO6jfHPFQU&ab_channel=Primer

30 Apr 202148min

017 = All The Hills, Fauna Fills and Sauna Chills

017 = All The Hills, Fauna Fills and Sauna Chills

How many Bec Hills could fit in Bexhill? What species would make the longest queue if you put every individual in a single line? Plus an update on Bec's coat conundrum! If you've got a problem or a solution, hit us up on our website www.aproblemsquared.com, or on social media. Thanks to www.higherdose.com for providing the sauna blanket for the fluffy jacket problem. To find out more about Mileva Marić and the campaign to have her contributions recognised, visit www.inspiring-girls.com/ig-blog/marijamilevablog

31 Mar 202146min

016 = Biscuit Tips and Longer Trips

016 = Biscuit Tips and Longer Trips

In this month's episode, Matt investigates what is the optimal way to share biscuits amongst a group, and Bec explores how you can elongate your holiday time using all manner of creative methods. Plus updates on short shorts and how much Coronavirus is there in the world. Send your problems at www.aproblemsquared.com And here's the study Matt referenced about perceptions of Time: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0001295

28 Feb 202150min

015 = Getting Plucky and Feeling Lucky

015 = Getting Plucky and Feeling Lucky

This month Matt and Bec are problem-solving thusly: Can you cast shadow puppets on the Moon? Why do champion cyclists wear such short shorts? Is there such a thing as a lucky person? Here's a useful graphic of how the Moon orbits Earth https://www.nasa.gov/feature/goddard/from-a-million-miles-away-nasa-camera-shows-moon-crossing-face-of-earth And this is the article referenced by Bec in the show about body hair: https://www.theatlantic.com/health/archive/2017/02/the-casualties-of-womens-war-on-body-hair/514983/ Send your problems to our new improved website! www.aproblemsquared.com

31 Jan 202154min

014 = Final Cheese Drama and Quick-Fire-O-Rama

014 = Final Cheese Drama and Quick-Fire-O-Rama

It's the end of year special! We have an update on the Cheese Cover Up, the results of the listener survey, and a selection of quick-fire new problems to round off 2020. Plus, what on Earth has Matt been doing to his Christmas tree? Head to @aproblemsquared on Twitter and Instagram to see images of listeners' cheese packaging recommendations, Matt's pie charts, and Bec's framed Christmas card.

31 Des 202052min

013 = Heavy Lifting and Clever Gifting

013 = Heavy Lifting and Clever Gifting

What's the most cunning way to move furniture on your own? Thoughtful ideas for Christmas presents Answers to the riddle of Pudding's Wheel, including a brilliant piece of maths by a listener. Recipe for microwave fudge: 3 cups of milk or dark chocolate bits (roughly 500g) 1 tin condensed milk 1/4 cup of butter Step 1. Microwave all ingredients for 3-5mins, stopping to stir occasionally. Step 2. Grease or line a deep tray/dish with baking paper and pour in the mix. Step 3. Refrigerate. Step 4. Once firm, cut into squares. (Note from Bec: in Step 2, I like to dust the baking paper with cacao powder and then dust the squares again once cut in Step 4. It helps stop them from immediately melting back into each other. You can also add nuts and dried fruit or spices if you want to get experimental. Make sure you store this in the fridge whenever possible, as it has a low melting point!) Pudding's instagram: instagram.com/hamsterpud

30 Nov 202055min

012 = Series of Teeth and Queries of Cheese

012 = Series of Teeth and Queries of Cheese

To celebrate 12 episodes we're collecting some data! If you can, fill in the listener survey: http://thatsurvey.ilikeit.aproblemsquared.com Does this cheese look like it has 41% less packaging? https://www.dropbox.com/s/kuj16lmkgrx8w7i/41cheese.jpeg?dl=0 Here's the wikipedia page we used to make sense of shark teeth: https://en.wikipedia.org/wiki/Shark_tooth#/media/File:How_to_count_shark_teeth.png The Weaire-Phelan structure: https://en.wikipedia.org/wiki/Weaire%E2%80%93Phelan_structure What a truncated octahedron looks like: https://en.wikipedia.org/wiki/Truncated_octahedron And a spinning one!  https://upload.wikimedia.org/wikipedia/commons/7/7c/Truncatedoctahedron.gif MATT'S CALCULATIONS A 140mm × 60mm × 46mm block of cheese has a volume of 386.4 cm^3 and a surface area of 352 cm^2. To give a 41% reduction the original needs to have the same volume of cheese but an area of 596.6 cm^2. Matt assumed there are 4,200,000 current infections and each person has 400,000 virus particles per mL across 2L of fluid. If the SARS-CoV-2 particle has a diameter of 150nm and stacks like spheres with 74% efficiency: those 3,360,000,000,000,000 current virus particles would fill only 8mL, aka "about a teaspoon".

31 Okt 202059min

011 = Massive Halls and Ambassadors' Balls

011 = Massive Halls and Ambassadors' Balls

How long is a year of A Problem Squared podcasts? What's the qualification for a room being a room? Is the famous Ferrero Rocher advert mathematically possible? You can visit the Crafts Council campaign here: https://www.craftscouncil.org.uk/support-us/appeals-and-projects/lets-craft-packs-children Delve into luxury with the original Ferrero Rocher ad: https://www.youtube.com/watch?v=4P-nZZkQqTc The best-known packings of equal circles in a circle http://hydra.nat.uni-magdeburg.de/packing/cci/d1.html Correction: Bec's episode of Jonathan Ross's Comedy Club aired on 19th September (Series 1 Episode 2)

30 Sep 202048min

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