Gabriel's Horn
A shape you can fill with a finite bucket of paint but whose inside you could never finish painting. How?
16417 min read
Italian mathematics and physics
Evangelista Torricelli
1608 – 1647
Student and successor of Galileo, and inventor of the barometer. In 1641 he discovered that the solid of revolution obtained by rotating the curve y = 1/x around the x-axis from x = 1 to infinity has finite volume but infinite surface area — a result so counterintuitive that it generated immediate controversy. The shape is now called Gabriel's Horn or Torricelli's Trumpet. His work on indivisibles and infinitely extended solids contributed to the foundations of integral calculus.