Red pentagon covered by black and white pentagons (click image for an animation of the "cover-up").
Click for .gif Is the red pentagon completely covered by smaller black and white ones? Well, yes and no. The total area of the smaller pentagons is equal to the area of the red pentagon, but some of the black and white pentagons don't really qualify as a pentagon; their size is 0. An image of these "zero" points is shown below. Their total area is also 0, which isn't surprising because "area" is a property of two dimensional objects and the dimension of the object below is approximately 1.44.