A world from a sheet of paper - Tadashi Tokieda
Oxford Mathematics・2 minutes read
Understanding significant numbers like 3.14152 reveals insights into everyday phenomena, while exploring mathematical concepts like trisecting angles and constructing regular polygons through origami techniques. The discussion extends to the Poisson ratio in materials, negative values challenging conventional beliefs, and applications in engineering innovative foldable structures like maps and solar panels.
Insights
- The number 3.14152 represents the surface tension of water at 25 degrees Celsius, aiding in understanding droplet size in everyday scenarios like showering.
- The lecture explores the interplay between intrinsic and extrinsic dimensions symbolized by the number 2.5, delving into ancient Greek angle trisection problems, Gauss's legacy in constructing regular polygons, and the unique properties of negative Poisson ratio materials, offering insights into both theoretical mathematics and practical applications.
Get key ideas from YouTube videos. It’s free
Recent questions
What is the significance of the number 3.14152?
The number 3.14152 represents the surface tension of water at 25 degrees Celsius. Understanding this number helps in comprehending the size of droplets in everyday scenarios like showering.
How did Gauss contribute to mathematics?
Gauss's legacy includes solving the problem of constructing regular polygons with ruler and compass. He made significant contributions to mathematics by exploring the construction of regular polygons using specific numbers like Fermat primes and origami techniques.
What is the Poisson ratio?
The Poisson ratio characterizes material response to compression, with a new notation proposed. It ranges from -1 to 0.5 for isotropic materials, with negative values challenging the belief that it should be positive.
How does origami relate to mathematics?
Origami offers solutions to mathematical problems like trisecting angles, showcasing how to bisect and trisect angles using paper folding. It demonstrates the interplay between geometry and mathematics through practical applications.
What is the concept of negative Poisson ratio?
Negative Poisson ratio materials exhibit unique behaviors like shrinking along specific directions when compressed. The speaker discusses theoretical discussions and practical applications of negative Poisson ratio materials, highlighting their potential in various fields.
Related videos
TED
The magic of Fibonacci numbers | Arthur Benjamin | TED
Lankan Mentor
ICT Grade-10 Unit-3 | NUMBER SYSTEMS - Part 2
Dear Sir
Maths in Real Life | Trigonometry/Algebra/Statistics/Mensuration/Calculas/Probability | Dear Sir
PW Gujarati 9 & 10
સંખ્યા પદ્ધતિ 01 | સંખ્યાઓનો પરિચય | Maths | STD 9th/GSEB
Mathologer
What does this prove? Some of the most gorgeous visual "shrink" proofs ever invented