Ep417 - Matt Parker | Things to Make and Do in the Fourth Dimension
Feb 2, 2024
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Mathematician and comedian Matt Parker discusses the counter-intuitiveness of math and the importance of understanding its logic and ideas, exploring topics such as four-dimensional shapes, prime numbers, optimization algorithms, barcodes, iPhone screens, and different types of infinity. They also talk about engaging kids with math through YouTube and share their experience building a mega-menger fractal and decoding a binary message on a knitted scarf.
Mathematics allows us to access abstract concepts beyond our natural abilities.
Math education should be revisited to cultivate a fresh perspective on math.
Shapes and dimensions in mathematics become increasingly complex in higher dimensions.
Deep dives
The Surprising World of Mathematics
Mathematician and comedian Matt Parker highlights the counter-intuitive nature of math and how it allows us to access logic and ideas beyond our natural abilities. He discusses his book 'Things to Make and Do in the Fourth Dimension' which aims to change readers' perceptions about math. Parker emphasizes the importance of revisiting math education and shows how math plays a role in various everyday applications, including barcodes and DNA. He also showcases his projects involving dominoes and knitted scarves that demonstrate math concepts in a fun and engaging manner.
The Power of Mathematics Beyond Human Abilities
Mathematician and comedian Matt Parker explains how mathematics allows us to grasp abstract concepts that go beyond our natural cognitive abilities. He shares insights from his book 'Things to Make and Do in the Fourth Dimension' and how it encourages readers to approach math with a fresh perspective. Parker illustrates the significance of logical tools in comprehending complex ideas and highlights applications of math in diverse areas such as barcodes, DNA, and computer circuits built with dominoes. His projects demonstrate that even intricate mathematical concepts can be conveyed in a playful and accessible way.
Discovering New Shapes in Different Dimensions
Mathematician and comedian Matt Parker delves into the world of shapes and dimensions. He discusses the platonic solids in three-dimensional space and reveals the existence of an additional platonic solid in four-dimensional space known as the hyperdiamond. Parker finds fascination in the fact that some shapes only exist in specific dimensions, showcasing the hyperdiamond's unique properties. He also explores the limitations of platonic solids in higher dimensions, emphasizing the intriguing and complex nature of shapes in mathematics.
Building Intricate Calculators with Dominoes
Mathematician and comedian Matt Parker shares his experience of creating complex calculators using dominoes. He describes the process of designing circuits and logic gates with dominoes, showcasing examples such as AND and XOR gates. Parker highlights the challenges faced during testing, including synchronization and crosstalk issues. Despite the difficulties, he successfully built functioning domino computers capable of performing calculations and explained the significance of such projects in understanding computer circuitry and mathematical concepts.
The Symbolic Knitted Scarf and Error Correction
Mathematician and comedian Matt Parker reflects on a knitted scarf given to him by his mother, which consists of ones and zeros. He explains how each row represents an uppercase letter in Unicode, forming a message. Parker discovers a mistake in the scarf, but realizes that the repeated patterns allow for error correction. He introduces the concept of calculating the average value across multiple repetitions to restore the original message. The scarf becomes a unique example of an error-correcting code, demonstrating how mathematical principles can be applied in everyday objects.
Math is boring, says the mathematician and comedian Matt Parker.
Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do―through its logical tools, we are able to reach beyond our innate abilities and grasp more and more abstract concepts.
In his book, “Things to Make and Do in the Fourth Dimension”, Parker sets out to convince his readers to revisit the very math that put them off the subject as schoolchildren. Starting with the foundations of math familiar from school, he takes us on a grand tour, from four dimensional shapes, knot theory, the mysteries of prime numbers, optimization algorithms, and the math behind barcodes and iPhone screens to the different kinds of infinity―and slightly beyond.