Dandelifeon

The Dandelifeon is a generational flower featured in Botania. It is one of the fastest Mana generators in Botania—earlier versions of this flower produced enormous amount of Mana. It produces Mana by simulating Conway's Game of Life in a 12 square radius around it.

Usage
When a redstone signal is applied to it, it will advance one generation every half second (or 10 ticks).

Each square in the 25x25 area is referred to as a Cell. Cells can have two possible states:
 * Live: the cell has a Cellular Block above it.
 * Dead: the cell does not have a Cellular Block above it.

The state of a cell will change depending on the states of its Neighbours, which are the 8 squares surrounding the cell:
 * Live → Dead: The live cell has fewer than two or more than three live neighbours.
 * Live → Live: The live cell has exactly two or three live neighbours.
 * Dead → Live: The dead cell has exactly three live neighbours.

All transitions occur simultaneously.

Botania has some additional rules over the original Game of Life.
 * Age: each live cell will have an age value attached to it. For each generation the cell will have its age increased by 1. When a dead cell becomes a live cell, its new age is $$A_{new\ cell}=neighbour_{oldest}+1$$. Once a cell passes the age of 60 it will die.
 * Mana conversion: the 3x3 area centered on the Dandelifeon is uninhabitable by cells. Any cells that grow into that area will be converted into Mana. The age of a cell is directly proportional to the Mana it produces. Age 0 cells will not generate Mana.
 * Restricted initial area: the 5x5 area centered on the Dandelifeon excluding the 3x3 area mentioned previously cannot sustain age 0 cells (i.e., Cellular Blocks may not start there before a Game of Life is run).
 * Multiple Dandelifeons: a cell that is in the functional range of at least 2 Dandelifeons will die and cannot be turned into a live one.
 * Means of transport: Cellular blocks that are moved by other means than the Dandelifeon will break and cannot be recovered.
 * Cell occupation: Cellular blocks will not generate on cells that are already occupied by non-air blocks.

Complete up to date rules are listed in Lexica Botania.

Unlike other flowers, Dandelifeons are not found naturally.