Footprint: Difference between revisions

→Bloons TD 6: Silas has a footprint of radius 6
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|Beast Handler's [[Gyrfalcon]] and higher upgrades.
|Beast Handler's [[Gyrfalcon]] and higher upgrades<br>Sub-towers (Ball of Light, [[Summon Phoenix (BTD6)|Phoenix]] (including upgrades), [[Bottle of 'Gerry's Fire' Hot Sauce|Hot Sauce creature]], Nature's Ward totem, Spirit form [[Dark Dungeons]], UAV, UCAV)
Sub-towers (Ball of Light, [[Summon Phoenix (BTD6)|Phoenix]] (including upgrades), [[Bottle of 'Gerry's Fire' Hot Sauce|Hot Sauce creature]], Nature's Ward totem, Spirit form [[Dark Dungeons]], UAV, UCAV)
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|[[Dart Monkey (BTD6)|Dart Monkey]], [[Tack Shooter (BTD6)|Tack Shooter]], [[Ice Monkey (BTD6)|Ice Monkey]], [[Glue Gunner (BTD6)|Glue Gunner]], [[Sniper Monkey (BTD6)|Sniper Monkey]], [[Ninja Monkey (BTD6)|Ninja Monkey]], [[Alchemist (BTD6)|Alchemist]], [[Rosalia (BTD6)|Rosalia]], [[Silas (BTD6)|Silas]]
|[[Dart Monkey (BTD6)|Dart Monkey]], [[Tack Shooter (BTD6)|Tack Shooter]], [[Ice Monkey (BTD6)|Ice Monkey]], [[Glue Gunner (BTD6)|Glue Gunner]], [[Sniper Monkey (BTD6)|Sniper Monkey]], [[Ninja Monkey (BTD6)|Ninja Monkey]], [[Alchemist (BTD6)|Alchemist]], [[Rosalia (BTD6)|Rosalia]], [[Silas (BTD6)|Silas]]<br>Sub-towers (Planes from [[Aircraft Carrier (BTD6)|Aircraft Carrier]] and higher upgrades, Etienne's Drones, Sacrificial Totem, Mini-Sun Avatar)
Sub-towers (Planes from [[Aircraft Carrier (BTD6)|Aircraft Carrier]] and higher upgrades, Etienne's Drones, Sacrificial Totem, Mini-Sun Avatar)
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|[[Monkey Buccaneer (BTD6)|Monkey Buccaneer]], [[Mermonkey (BTD6)|Mermonkey]], [[Spike Factory (BTD6)|Spike Factory]], [[Captain Churchill (BTD6)|Captain Churchill]], [[Pat Fusty (BTD6)|Pat Fusty]], trance totem from The Final Harmonic.
|[[Monkey Buccaneer (BTD6)|Monkey Buccaneer]], [[Mermonkey (BTD6)|Mermonkey]], [[Spike Factory (BTD6)|Spike Factory]], [[Captain Churchill (BTD6)|Captain Churchill]], [[Pat Fusty (BTD6)|Pat Fusty]], trance totem from The Final Harmonic
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Towers and Heroes do not change their footprint when they are upgraded, even if the model is visually larger, which is specially evident on [[Paragon|Paragons]], however, this behavior has one exception, which is when a [[Sun Avatar (BTD6)|Sun Avatar]] is upgraded into a [[Sun Temple (BTD6)|Sun Temple]], in this case the footprint grows from a radius of 8 units to a rectangle with a width of 37 units and a height of 40 units. This usually does not have any interactions with other regular towers as they are sacrificed when the upgrade is purchased, however as the Sun Temple cannot sacrifice Powers or Heroes, if they are placed right next to the Super Monkey before being upgraded, they will end up inside of the Sun Temple's footprint, this interaction does not impact the towers and can bet moved away by using the Redeployment ability of a [[Support Chinook (BTD6)|Support Chinook]],
Towers and Heroes do not change their footprint when they are upgraded, even if the model is visually larger, which is specially evident on [[Paragon|Paragons]], however, this behavior has one exception, which is when a [[Sun Avatar (BTD6)|Sun Avatar]] is upgraded into a [[Sun Temple (BTD6)|Sun Temple]], in this case the footprint grows from a radius of 8 units to a rectangle with a width of 37 units and a height of 40 units. This usually does not have any interactions with other regular towers as they are sacrificed when the upgrade is purchased, however as the Sun Temple cannot sacrifice Powers or Heroes, if they are placed right next to the Super Monkey before being upgraded, they will end up inside of the Sun Temple's footprint, this interaction does not impact the towers and can bet moved away by using the Redeployment ability of a [[Support Chinook (BTD6)|Support Chinook]],


This behavior can is used used on [[Freeplay]] strategies to save space for [[Tech Bot (BTD6)|Tech Bots]] by placing them around Super Monkeys that are intended to become Sun Temples later in the game. Also, there is a small window of time after purchasing the Sun Temple where after the Monkeys around it are sacrificed but before its footprint grows, this can be exploited by using a Support Chinook to move a tower right next to the Sun Avatar during the transform animation so it ends inside the Temple's footprint.
This behavior is usable in [[Freeplay]] strategies to save space for [[Tech Bot (BTD6)|Tech Bots]] by placing them around Super Monkeys that are intended to become Sun Temples later in the game. Also, there is a small window of time after purchasing the Sun Temple where after the Monkeys around it are sacrificed but before its footprint grows, which can be exploited by using a Support Chinook to move a tower right next to the Sun Avatar during the transform animation so it ends inside the Temple's footprint.


Optimal placements of towers with the same or different sizes within a certain area is a common problem that is found in recreational mathematics, known as [[wikipedia:Circle packing|circle packing]], and despite the intuition of going for hexagonal or triangular patterns (where the form indicates the arrangement of the center of the circles) are usually not the [[wikipedia:Circle packing in a square|optimal solution]]. Although [https://www.sciencedirect.com/science/article/abs/pii/S0305054812001141 procedures exist] for regular forms, the variety of shapes of open areas in maps in ''BTD6'' makes finding optimal solution it a difficult task that usually can only be solved by a brute force trial and error approach.
Optimal placements of towers with the same or different sizes within a certain area is a common problem that is found in recreational mathematics, known as [[wikipedia:Circle packing|circle packing]], and despite the intuition of going for hexagonal or triangular patterns (where the form indicates the arrangement of the center of the circles) are usually not the [[wikipedia:Circle packing in a square|optimal solution]]. Although [https://www.sciencedirect.com/science/article/abs/pii/S0305054812001141 procedures exist] for regular forms, the variety of shapes of open areas in maps in ''BTD6'' makes finding optimal solution it a difficult task that usually can only be solved by a brute force trial and error approach.