by Gaurav Tiwari | Sep 21, 2013 | Fun Stuff, Logic, Puzzles, Status Updates

You are inside a room and there are exactly three electric bulbs outside of the room. The three bulbs have their corresponding switches (exactly three) inside the room. You can turn the switches on and off and leave them in any position. How would you identify which...
by Gaurav Tiwari | Aug 30, 2013 | Featured, Fun Stuff, Images, Math, Recreations

Just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s three.js project. Here is a Youtube video on that: Hop to the source...
by Gaurav Tiwari | Aug 11, 2013 | Complex Analysis, Complex Numbers, Fun Stuff, Humor, Math, Number Theory, Problems, Puzzles, Real Analysis, Recreations

This mathematical fallacy is due to a simple simple assumption, that $ -1=\dfrac{-1}{1}=\dfrac{1}{-1}$ . Proceeding with $ \dfrac{-1}{1}=\dfrac{1}{-1}$ and taking square-roots of both sides, we get: $ \dfrac{\sqrt{-1}}{\sqrt{1}}=\dfrac{\sqrt{1}}{\sqrt{-1}}$ Now, as...
by Gaurav Tiwari | Aug 3, 2013 | Fun Stuff, Humor, Logic, Math, Number Theory, Puzzles, Recreations

People really like to twist the numbers and digits bringing fun into life. For example, someone asks, “how much is two and two?” : the answer should be four according to basic (decimal based) arithmetic. But the same with base three (in ternary number...