The #Infinite #Gift Wrapped present 🎁 This is an interesting problem where the side of the nth box is 1/√n, therefore area of nth box = (6/n) As n→+∞, the gift length and surface area approaches infinite while maintaining a finite volume 🤓
François Viète was a French mathematician and the first person to uncover an infinite product formula for π in the 16th century. The formula is so elegant as it involves just a single number: 2 He provided 10 decimal places of π by applying the Archimedes method to a polygon with 6 × 216 = 393,216 sides.
The #RADIAN (RAD) is the SI unit for measuring #angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is 180/π degrees or just under 57.3° 📐
⎍ A #Hilbert #Curve is a continuous fractal space-filling curve ⎍ First described by a #German #mathematician David Hilbert in 1891. It grows exponentially with each iteration, but always being bounded by a square with a finite area 🤔
📜 #Pythagoras #Tree, turning a simple #equation a² + b² = c² into such #beauty 🤩 🔘The tree grows from a seed square of size (LxL), followed by two squares each scaled down by a factor of 1/√2, then 4 squares, then 8 and so on.. 🔘What's the total area of the tree at (n) iteration? And what's the area as n -> ∞? Assume no overlapping.
A deeply intuitive, aesthetically pleasing geometrical “proof without words” that the sum of the first n cubes is the square of the nth triangular number, sometimes called Nicomachus’s theorem.