Tuesday, May 19, 2015

468: Fields of Green


What is the area of the whole hexagonal shape?

Can your students generalize this result?


Source:

Monday, May 18, 2015

467: Squares

Take a square number and multiply by four. Is it guaranteed to still be a square number?

Can we generalize this rule?
Can your students explain why?

Source:

Sunday, May 17, 2015

465: Probability Machine

You've all seen Plinko and its variations.  Here's one:


This one has a normal curve drawn on the background. Should it be a normal curve or more triangular like the arrangement of the pins?

Would it still be in this shape if the pins were arranged in a rectangle?

464: Illusion 4 - Side View

How did he pull this off?


Can you sketch this scene from the side?

463: Illusions 3 - Cafe Wall

Here's the original Cafe Wall, after which the Cafe Wall Illusion was named.





What went wrong with this wall? What is it that every single bricklayer and tile-setter knows as Rule #1, to avoid the Cafe Wall Illusion?


462: Illusions 2

How did this artist lay out the guidelines on this flat, concrete floor for this seemingly 3D artwork?



460: Illusions 1

What is the best way to show that the horizontal lines are, in fact, horizontal and parallel?


Why does your brain insist that they are not?