Trees

A tree is a tall, abundant, multi-material structure that is generated in forests and can be grown through berries in survival mode.

## Morphology

Trees come in three varieties, one is found in all game modes, the second is found only in the dark forest biome of Battle Royale (See Dark Forest Tree), and the third is found in the taiga biome of battle royale (See Taiga Tree). This is a description of the first variety.

### Foliage

The foliage is made of three voxel circles of different radius, one on top of the other, occupying a single y coordinate each, such that the foliage is 3 blocks in height, and having the same x and z coordinates in some vertex between blocks (that is, in a position that is a multiple of 0.5 in terms of player position). The voxel circles have the following radii: the bottom has a radius of 3, the middle has a radius of 5, and the top has a radius of 4.

Since the minimum number of points to uniquely define an ellipse is six, and we can take, for instance, (0, 5), (-1, 3), (-1, -3), (0,-5), (1, -4), and (1, 4) where 3, 4 and 5 are the radii of the aforementioned voxel circles, and since these points reflect each other across the y axis, we have that an axis-aligned ellipse could pass through the six points, such that, all in all, the foliage can be seen as an oblate spheroid with centre at approximately 0.14 blocks above the centre of a block, though arguably, this definition is less parsimonious than the previously mentioned one.

There exists four big kinds of foliages, as categorized by their berries: the orange berry tree that has only orange berries and that can be grown with orange berries; likewise but with red berries for the red berry tree; the mixed berry tree, that apparently cannot be cross-bred and that grows naturally; and finally, the infertile berry tree that doesn't grow any berry. For a tree grown through berry, the number of berries will depend on how many berries were used to grow the tree, the exact number of which is yet to be determined. For a generated tree, the number of berries is also yet to be determined but it might be between 0 to 5 berry blocks of each kind, for mixed trees.

### Trunk

The trunks are voxel circles of radius 1, the heights of a trunk are yet to be determined, but possibly they vary between 5 to 11 for grown trees, and 4 to 10 for naturally generated trees.

### Roots

The roots are a natural extension of the trunk being of wood and with a square circumference of dimensions 2x2 and those of grown through berries are in addition always of height 2, while those generated always have a height of 3.

## Growth

A tree will grow from a berry in a place such that the form chosen by the world, excluding the root is not blocked by any block, though this doesn't apply to generated trees, as they can still override each other, like the foliage overriding other foliage or trunk (though it is not known if it's possible for a trunk to override a trunk). Additionally, a tree's north western corner has to be directly on top  of dirt or grass (not snow), with perhaps the exception of the Oasis map in capture the gems where trees might be generated in sand. If the tree grows near an edge of the world, the tree will be clipped accordingly so as to only exist within a chunk inside the limits of the world.

### Distribution and Generation

Trees are found in forests and around 0.2% of points on top of grass (between -620 to 640 in x and z in Survival Mode), are chosen to generate a tree, such that they occupy roughly 16% of forest space if one counts the whole canopy or 0.8% counting the trunk only. which unlike trees grown through berries, always have a mixed foliage of about 4 to 15 berries of each kind.

### Growth Through Berries

In survival mode, at least, it is possible to grow trees, as long as the berry is placed on top of a block of dirt and the randomly chosen form of the tree, excluding the root, is not blocked by any block. Thereafter, one would have to wait around 1 to 1.5 minutes for it to appear as a grown tree. The resulting tree will have its north-western trunk grow directly on top of the berry, will have everything in the path of its root deleted, and will yield a produce that correlates with the amounts of berries placed in that block and of the kind of berry placed, though the exact relationship is still an open problem.

## Uses

With 1 Log You Can Make 9 Wood. A Usual Tree Gives 20-25 Logs, Shorter Trees Give 10-15 Logs. Besides, one can obtain several berries, with a limit of roughly 36 berries per tree, the exact value of which has yet to be determined.

By growing a tree, making sufficient space for its growth, and placing a berry on top of a block of dirt which itself is on top of bedrock, the world will replace 2x2 bedrocks at the bottom layer of the root of the tree for wood.

One can also gain a static x-ray if the tree spawns such that the user is inside the tree and the user removes one of the blocks and looks beneath. However this has been hard to replicate, so it is not clear exactly which block has to be deleted and where the tree has to spawn with respect to the user.

1. ↑ So that together with the trunk and the foliage, the heights are between 10 to 16 for trees generated and grown through berries
2. ↑ Evidence for this can be obtained by growing a sufficient number of trees (since the height of the trunk is variable) inside a shell of a specific size, in which it will only be able to tightly fit inside or for a range of such possibilities (e.g. a shell where only trees of size 6 to 10 fit in)
3. ↑ Evidence of the north western block exists for generation by taking the fact that dirt is 4 blocks deep (including the top grass), and for berries through its placement on top of dirt and getting always a similarly aligned tree.
4. ↑ Evidence for which exists by taking the steps shown here: https://www.unige.ch/medecine/bioimaging/files/3714/1208/5964/CellCounting.pdf in imageJ to find the region covered by the forest alone, and the region covered by the foliages alone. And dividing the area covered by foliage by the area of the forest, and then multiplying by 0.05% (the area of the circumference of the trunk divided by the area of the second layer of the foliage: 4/80) to obtain the space occupied by the trunk alone, and dividing that by 4 to obtain the portion occupied by the place where a tree would generate: the north-western corner of the tree trunk.