User:Blobs2/Renewable resources

These are resources that are not renewable but are required to make renewable items.

Things get Meta!
Let’s say that a non-renewable resource is, and a renewable resource that requires a non-renewable resource is. In general, a renewable resource that requires an resource or less is.

2-Renewable Items
The table below lists blocks and items.

The only blocks or items are field masoned banners. No blocks or items are or higher.

Infinite Renewability
Usually, a resource obtainable as a mob drop or related method cannot be described as for any n. We will call these resources infinitely renewable.

Sometimes, a resource is renewable with an initial use of itself. In this case, if the resource were, then the resource would be renewable with an initial use of an resource (namely itself) making it at least. This conflicts with the resource being only, so the resource must be infinitely renewable. We will show some examples.

Dirt
The player can kill vindicators and evokers in raids. This is an initial use of podzol, dirt, or grass block (so the pillager patrol can spawn) but the emeralds can be used to buy podzol from a wandering trader. By the logic described above, dirt and emeralds are infinitely renewable.

The infinite renewability of emeralds implies the infinite renewability of anything that wandering traders sell. Furthermore, an initial use of dirt to plant trees. This makes crafting tables, fishing rods and many profession blocks infinitely renewable, along with items obtainable from fishing or a corresponding villager infinitely renewable.

Obsidian
We will consider a process that initially requires only obsidian and a diamond pickaxe. The steps are:
 * 1) Make a nether portal frame. The portal will activate when lightning strikes next to it. Call this portal A.
 * 2) Make and active another portal (call it portal B) sufficiently far from portal A that the 2 portals cannot connect to the same portal in The Nether.
 * 3) Say that portals A and B connect to portals A’ and B’, respectively. Build a path between portals A’ and B’.
 * 4) Use your diamond pickaxe to mine the obsidian from portal B. Use portal A to return to the nether, and use portal B’ to recreate portal B. Repeat this step as many times as desired.

Since obsidian requires an initial use of only itself and an infinitely renewable resource, obsidian is also infinitely renewable.

Quasi-Renewable Resources
Let’s consider blocks and items that would be “renewable” with the initial use of a resource that cannot be obtained legitimately.

First, consider command blocks, programmed as. This would make the corresponding resource “renewable”, but the command block cannot be obtained legitimately and cannot be programmed in survival.

Command blocks would make any resource “renewable”, so we will exclude them from the definition of quasi-renewability. The only other unobtainable blocks that make certain resources “renewable” are the element constructor, material reducer, compound creator, and lab table (they can only be obtained in Creative in worlds with “Education Edition” enabled. We will therefore consider chemistry blocks and items.

Chemistry
The following blocks and items require chemistry to create:
 * Balloons
 * Bleach
 * Colored Torches
 * Compounds
 * Elements
 * Garabage
 * Glow Sticks
 * Hardened Glass
 * Hardened Glass Panes
 * Heat Blocks
 * Ice Bombs
 * Medicine
 * Sparklers
 * Super Fertilizer
 * Underwater Torches
 * Underwater TNT

We can show that all of these are quasi-renewable:
 * An element constructor can produce an unlimited amount of most elements, making elements quasi-renewable.
 * The exception is ???, which cannot be obtained using an element constructor. This element can, however, be obtained from renewable netherrack, glowstone, or end stone, using a material reducer.
 * A compound creator can create compounds out of quasi-renewable elements, making compounds quasi-renewable.
 * A lab table can construct bleach, ice bombs, super fertilizer, and garbage out of quasi-renewable elements and compounds, or construct a heat block from renewable and quasi-renewable resources.
 * Medicine can be brewed by adding certain elements to Awkward Potion, making medicine quasi-renewable.
 * The remaining blocks and items can be crafted from renewable and quasi-renewable resources.