While updating your goldmines and elixir collectors, you certainly do not want enemy clans stealing these precious Resources from you. You have to deny them entry with walls, use cannons and towers to shoot enemy troops, and place mines and collectors in smart places.

    To learn more about defenses in Clash of Clans, view these sections:

• Walls (Inactive Defense)
• Actively Defensive Weapons
• Placing Mines and Collectors

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    There are several strategies for wall placement. As a rule, place walls around your precious resources, like mines and collectors. While forces are busy trying to break through your walls, cannons and towers can either stop them in their tracks or completely obliterate them. As your walls become stronger, it will take enemy forces a longer time to cut through your walls. Upgrade them as quickly as you can afford to do so.

    As you upgrade your town hall, you will be able to build more walls. Consider placing walls within walls to further slowdown enemy troops.

    Consider also leaving a strategic opening in your wall to funnel troops toward traps. To the unsuspecting invasion, several troops can be destroyed using this strategy. This is a passive defensive strategy that is clever, but has a huge weakness. Be aware that enemies can sense this funnel strategy and send in a lone goblin who will test out an area. With the use of a goblin sacrifice to trigger such traps, an enemy horde can then be unleashed and be unhindered.

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    Unlike the passive use of bombs and spring traps, players use cannons and towers to mow down incoming invasions. We will look at bad, good, and genius placement strategies for cannons and towers.

Bad
    Not using cannons and towers to protect your clan is literally asking rival players to loot you. An unprotected village is easily marauded even if heavy walls protect your clan. Placing cannons and towers outside your walls is a bad plan because players will easily overwhelm them. In either case, you are begging to be attacked and pillaged.

Good
    Place cannons and towers inside walls. This placement will allow your walls to protect them. Place resources carefully so that numerous defensive structures can defend them at the same time. Use the Venn Diagram below to see the optimum red area to place resources. The circles represent the attack radius of cannons and towers. The points, the centers of the circles [see Conic Sections for more details about circles], represent the locations of either towers or cannons.

    Resources placed within the middlemost section of the red area can be protected by all of your defensive weapons.

Genius
    Place cannons and towers inside walls AND make sure they are close enough to protect each other. To understand this strategy, you can click on an active defensive weapon to see its attack radius. Make sure other defensive structures, including mines and collectors, are within that attack radius. If your active defensive weapons are all protecting each other, as raiding troops attack a cannon, that cannon and other cannons will be attacking the raiding troops together.

    View the Venn Diagram below to see a visual representation of cannons and towers placed close together. If defensive weapons are placed close enough together, it creates a large red zone. In this red zone, each of the cannons and towers are protected by each other.

    It is extremely similar to Spartan hoplites interlocking their shields to form a unified resistance, called a phalanx. No warrior defends alone. Each member of the phalanx helps his neighbor next to him as a single, unified fighting force.

This is the Roman version of the Greek phalanx, called a testudo or tortoise formation.

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    Just like our analysis of Active Defensive Weapons, place your mines and collectors within the red area within the Venn Diagram.

    To further delve into the mathematics of layouts, we have to turn to terms found within geometry. In order to maximize defense via overlapping actively defensive structures, look at regular polygons. Regular polygons are closed figures formed by segments that have sides that are equal in length and angles that are equal in measure.

    Here is the difference between a regular quadrilateral, called a square (left) and an irregular quadrilateral (right).

    If there are ‘n’ actively defensive structures, use a regular polygon with ‘n’ sides. Place the actively defensive structures on the corners (vertices) of the regular polygons.

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