What is the minimum number of toothpicks necessary to spell the word FAT without breaking or bending any?

The straightforward answer would appear to be eight, using separate toothpicks to form each letter.

(Use 3 in the F, 3 in the A, and 2 in the T.)

However, if you can use the same toothpicks for all three letters at the same time, you only need three. (see related link)

Using 3 Toothpicks

By overlapping the three toothpicks at the proper angles, you can simultaneously form an F, an A, and a T. Place the toothpicks atop each other to form a small triangle in the middle. You will see the letters F, A, and T within the angles formed. The horizontals of the F are, however, oddly splayed and not parallel.

(see related link)