A Problem Squared

They debate whether to place food in the centre or off to the side of a microwave and explore how standing waves create hot and cold spots. A popcorn-style experiment with poppadoms brings the theory to life. They also unpack diagonals in higher dimensions and show why a unit hypercube’s longest diagonal scales with the square root of the dimension.

Playful ASMR banter leads into a mystery: are no two packs of Skittles really the same? They count candies, crunch combinatorics and estimate how many packs would need to exist for a match. The conversation pivots to a Moon Pi mission patch design mishap and a laser software launch. They also trace why the common cold got its name and share quirky listener notes.

They estimate how many people are airborne at any moment using flight trackers and statistics. They compare that number to city populations and even guess how many people named Greg might be in the sky. They explore when a pound of mass equals a pound sterling by checking metal prices and supermarket items, weighing rice and oat drink to find near matches.

They answer listener questions in a lively AMA special covering how their friendship and festival roots sparked the show. Hear stories about moving countries, bizarre pi and pie memories, and odd collections from rocks to props. They discuss organisation tricks, unfinished projects like a DIY Christmas tree, and why they support WaterAid. Expect tour plans, Fringe ideas, and playful closing banter.

They invent silly pantry-jar names and play a rapid-fire naming game full of puns. They ask which small integer has never been written down and compare huge named numbers like googolplex and Graham’s number. They estimate human-written numbers using deck-shuffle analogies and birthday-problem math to find when a number is likely unique. The show closes with a quirky homemade salt side project and listener reactions.

Ever wondered why the coldest day of winter doesn't align with the shortest day? Dive into fascinating science with insights on thermal lag and Earth's quirks! If you’re not drinking alcohol, discover creative uses for fancy glassware that go beyond cocktails. Plus, learn whether a defibrillator can cook a chicken—spoiler: it's a surprising no! The hosts also share indexing hacks for organizing creative projects, ensuring your next big idea is never lost. Tune in for laughs and intriguing facts!

Dive into the quirky world of farts and numbers! Discover how many people are needed for guaranteed farting and explore the charming math behind it. Learn about Matt's homemade sea salt adventure and its comedic branding dilemmas. Plus, find out which words can numerically sum to 100, with some laugh-out-loud examples. They also discuss fun ideas for annual themed shows on rocks and teeth. Join in on the playful banter and mathematical madness that blends humor with clever problem-solving!

Dive into the intriguing concept of the 'Angle of Death' and how it connects with tetraphobia! Discover the art of cider-making as the hosts share their backyard apple press adventures. Tune in for practical solutions to church music filing woes, like genre folders and inventive sorting strategies. Enjoy festive banter, creative studio names from listener submissions, and a sneak peek at their upcoming Christmas card. Plus, don't miss the taste test of defrosted apple juice, sparking a discussion about yeast and juice characteristics!

Explore the fascinating differences in nutritional value of frozen chips cooked in air fryers versus ovens. Discover how moisture loss affects calorie counts and cooking outcomes. Delve into a whimsical calculation estimating how a 2.2-meter dredged seabed could form a towering mountain. Matt's amusing math leads to the conclusion of a 44 km high hill, though practicality and environmental concerns come into play. Plus, hear about Bec's emotional Totoro stage experience and Matt's thrilling lunar-gravity flight experiments.

In a whirlwind of fun, Matt and Bec tackle quickfire problems, from the surprising logistical limits of using a defibrillator to cook chicken to brainstorming the best cat names starting with Y. They explore the intricacies of which letters are silent in words like 'scent' and share playful ideas for creatively thanking wedding guests. Expect witty banter about name mispronunciation and a unique approach to naming Dr. Sophie's gaming garage, all while inviting listeners to submit questions for an upcoming AMA!