Final answer:
To find a pattern where the number of toothpicks is more than double the number of tiles using exactly six tiles, you can arrange the tiles in a straight line and connect them with one toothpick per tile. Another example is to arrange the tiles in a straight line and connect each tile to two toothpicks.
Step-by-step explanation:
To find a pattern where the number of toothpicks is more than double the number of tiles using exactly six tiles, we can start with a pattern that has one toothpick per tile. For example, we can arrange the six tiles in a straight line and connect them with toothpicks, like this:
T O O T H P I C K S
Each tile is connected to a toothpick, and there are six toothpicks, which is double the number of tiles.
We can also create a pattern where the number of toothpicks is more than double the number of tiles. Let's take a look at an example:
Pattern 1:
Arrange the six tiles in a straight line, but this time, connect each tile to two toothpicks instead of one. The arrangement would look like this:
T O O T H P I C K S
In this pattern, each tile is connected to two toothpicks, and there are a total of twelve toothpicks. Since twelve is more than double six, this pattern satisfies the requirement.
This is just one example, and there could be other patterns where the number of toothpicks is more than double the number of tiles. The key is to be creative and experiment with different arrangements.