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The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen. The puzzle has appeared under various other names ...
There is one particular puzzle you may have seen. It's a drawing of a box with some dots in it, and the idea is to connect all the dots by using only four lines. You can work on that puzzle, but the only way to solve it is to draw the lines so they connect outside the box. It's so simple once you realize the principle behind it.
A partially solved puzzle. Connect the dots (also known as connect-the-dots, dot to dot, join the dots or follow the dots) is a form of puzzle containing a sequence of numbered dots. [1] When a line is drawn connecting the dots the outline of an object is revealed. The puzzles frequently contain simple line art to enhance the image created or ...
This simple puzzle game gives you a grid full of orange dots and one lonesome blue dot. Your goal is to circle the blue dot with orange dots in as few moves as possible. Only the blue dot is an ...
Proof without words: One house is temporarily deleted. The lines connecting the remaining houses with the utilities divide the plane into three regions. Whichever region the deleted house is placed into, the similarly shaded utility is outside the region. By the Jordan curve theorem, a line connecting them must intersect one of the existing lines.
Meet Dots. The idea is simple: Everyone has played connect the dots with their friends during science class or with a sibling on a long plane ride. Dots is the digital version of the classic ...
Placing a dot to the right of a notehead lengthens the note's duration by one-half. Additional dots lengthen the previous dot instead of the original note, thus a note with one dot is one and one half its original value, a note with two dots is one and three quarters—use of more than two dots is rare.
By employing an inductive proof, one can arrive at a formula for f(n) in terms of f(n − 1). Proof. In the figure the dark lines are connecting points 1 through 4 dividing the circle into 8 total regions (i.e., f(4) = 8). This figure illustrates the inductive step from n = 4 to n = 5 with the dashed lines.