Expedition: Difference between revisions

573 bytes removed ,  2 years ago
The formulas for running speed and carrying speed have finally been found! Thanks to Cirrus for working out the formulas and Sike for collecting the data that made finding this possible.
(Cirrus on the Pikcord was able to work out a formula for the overall time of the expedition. However, I have no idea how this fits into the existing research, so it has to go in a separate section.)
(The formulas for running speed and carrying speed have finally been found! Thanks to Cirrus for working out the formulas and Sike for collecting the data that made finding this possible.)
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==Weight==
==Weight==
Different items collectable on expeditions have different [[carry]]ing weights and thus take a different number of Pikmin to carry. [[Red Pikmin]], [[Yellow Pikmin]], [[Blue Pikmin]], [[White Pikmin]], and [[Winged Pikmin]] can carry 1 weight unit. [[Rock Pikmin]] can carry 3 weight units. [[Purple Pikmin]] can carry 5 weight units. Below is a table of the weight of each collectable item (in weight units) and the maximum number of Pikmin that can carry it (as a number of Pikmin).
Different items collectable on expeditions have different [[carry]]ing weights and thus take a different number of Pikmin to carry. [[Red Pikmin]], [[Yellow Pikmin]], [[Blue Pikmin]], [[White Pikmin]], and [[Winged Pikmin]] can carry 1 weight unit. [[Rock Pikmin]] can carry 3 weight units. [[Purple Pikmin]] can carry 5 weight units. Below is a table of the weight of each collectable item (in weight units) and the maximum number of Pikmin that can carry it (as a number of Pikmin).
{|class="wikitable"
{|class="wikitable sortable"
!Item
!Item
!Weight
!Weight
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==Speed==
==Speed==
{{game help|pb|Work out more details of how speed works.}}
The length of time an expedition takes depends on the Pikmin that are sent on it. Generally, the more Pikmin are sent, the faster the expedition will be, but different Pikmin types have different attributes. Speed is only influenced by the type of Pikmin, not its [[maturity]] or [[friendship]]. Before starting the expedition, the game shows an estimate of how long it will take with the currently-selected Pikmin.
The length of time an expedition takes depends on the Pikmin that are sent on it. Generally, the more Pikmin are sent, the faster the expedition will be. However, different Pikmin types have different traits, and mixing them can produce different results. Speed is only influenced by the type of Pikmin, not its [[maturity]] or [[friendship]].


An expedition has 2 stages. First, the Pikmin run from the player's starting location to the location of the expedition. Then, they pick the item up and carry it back to the player. These stages take different lengths of time. The time it takes for the Pikmin to carry the item back also depends on the player's movement, as the expedition will not be over until the Pikmin reach the player's current location. If the player moves away from the expedition, it will take more time, and if they move towards it, it will take less time. This can make the time estimate from the beginning of the expedition inaccurate.
An expedition has 2 stages. First, the Pikmin run from the player's location to the location of the item. Then, they pick up the item and carry it back to the player. These stages take different lengths of time. The time it takes for the Pikmin to carry the item back also depends on the player's movement, as the expedition will not be over until the Pikmin reach the player's current location. If the player moves away from the expedition, it will take more time, and if they move towards it, it will take less time. This can make the time estimate from the beginning of the expedition inaccurate.


In the running stage, each type of Pikmin has a set speed it runs at, and the speed of the group isn't affected by the number of Pikmin sent. [[Red Pikmin]], [[Yellow Pikmin]], and [[Blue Pikmin]] run at {{tt|4 meters per second (m/s)|13.1 feet per second}}. [[White Pikmin]] run at {{tt|8m/s|26.2 feet per second}}. [[Winged Pikmin]] run at {{tt|20m/s|65.6 feet per second}}. [[Purple Pikmin]] and [[Rock Pikmin]] run at just over {{tt|3m/s|about 10 feet per second}}. When multiple Pikmin types are on the same expedition, the running speed is some kind of average of the speeds of the Pikmin on the expedition, though the details are not yet known. To note is that when Winged Pikmin are with other types, their speed is reduced to that of a Red/Yellow/Blue Pikmin for the purposes of speed calculation.
Each Pikmin type has 2 attributes that go into speed calculation: its carrying strength, and its speed modifier. These are listed in the table below. Note that the modifiers are inverted from what you might expect – for example, a modifier of 0.5 is twice as fast as a modifier of 1 (as it takes half of the time). The last column lists the relative speeds, but these values are not used for speed calculation.
{|class="wikitable sortable"
!colspan="2"|Pikmin type
!Carrying strength
!Speed modifier
!Relative speed
|-
|colspan="2"|{{icon|Red Pikmin|y|v=PB}}
|1
|1
|1×
|-
|colspan="2"|{{icon|Yellow Pikmin|y|v=PB}}
|1
|1
|1×
|-
|colspan="2"|{{icon|Blue Pikmin|y|v=PB}}
|1
|1
|1×
|-
|colspan="2"|{{icon|Purple Pikmin|y|v=PB}}
|5
|1.25
|0.8×
|-
|colspan="2"|{{icon|White Pikmin|y|v=PB}}
|1
|0.5
|2×
|-
|rowspan="2"|{{icon|Winged Pikmin|y|v=PB}}
|when they are the only type in the group
|1
|0.2
|5×
|-
|when there are other types in the group
|1
|1
|1×
|-
|colspan="2"|{{icon|Rock Pikmin|y|v=PB}}
|3
|1.25
|0.8×
|}
 
The running speed of the group in meters per second is equal to 4 divided by the average speed modifier of all the Pikmin in the group. For example, a group with equal numbers of [[Red Pikmin]] and [[White Pikmin]] has an average speed modifier of 0.75, and 4 divided by 0.75 is approximately 5.333, so this group will run at about 5.333 meters per second.


In the carrying stage, the speed is affected by how many Pikmin are carrying the object. Each Pikmin added to the group increases the speed by some amount, and that amount depends on the type of Pikmin and the weight of the object. Each type has some value which is divided by the weight of the object to get the speed increment. For [[Red Pikmin]], [[Yellow Pikmin]], and [[Blue Pikmin]] (the main types), this value is 1, so adding one to the group will increase the speed (in meters per second) by 1 divided by the weight of the object. For fruits, which have a weight of 6, this increment will be 1/6 for these three types. For [[White Pikmin]] and [[Rock Pikmin]], this value is 2, so they carry twice as fast as the main types. For [[Purple Pikmin]], this value is 4. For [[Winged Pikmin]], this value is 5. The increased carrying strength of Purple Pikmin and Rock Pikmin appears to have no effect on the speed, as these types add a speed increment for each Pikmin in the same way the other types do. It is not yet known how carrying speed works when multiple Pikmin types are sent on the same expedition.
The carrying speed of the group in meters per second is equal to the total strength of the group, divided by the weight of the object being carried, divided by the average speed modifier of all the Pikmin in the group. For example, a [[Fruit (Pikmin Bloom)|fruit]] (with a weight of 6), carried by 3 [[Blue Pikmin]] and 2 [[Purple Pikmin]] (with a total carrying strength of 13 and an average speed modifier of 1.1), will be carried at 13 / 6 / 1.1 = about 1.9697 meters per second.


===Formula===
These speeds can be used to find the approximate time of each stage of the expedition, by dividing the distance of the item (in meters) by the speed of the group.
Separate research has found a formula for the overall time an expedition takes (in seconds), assuming the player does not move:
:Distance / 0.8 * (Average Pikmin Speed) * ((Strength - Weight) * 0.2 + Weight) / Strength
In this formula, the distance is in meters, the strength is the overall strength of the group, and the weight is the weight of the object. The Pikmin speed is an average of the speeds of each of the Pikmin in the group, where Red/Yellow/Blue Pikmin have a speed of 1, White Pikmin have a speed of 0.5, Winged Pikmin have a speed of 0.2 (1 if any other types are in the group), and Rock/Purple Pikmin have a speed of 1.25. It is not known how this fits into other research.


==See also==
==See also==
*[[Challenge]]
*[[Pikmin Park]]
*[[Pikmin Park]]
*[[Carry]]
*[[Carry]]