Fractal Self-Replication

Exploring Fractal Nodes in Solidity

Overview

The FractalSelfReplication contract introduces fractal nodes that can replicate recursively and evolve over time. Each node is associated with data and can be used to generate complex fractal structures. Below, we explore the structure of the contract and its advantages and disadvantages.

1. Creating Fractal Nodes

The contract allows the creation of fractal nodes, each owned by a specific user:

struct FractalNode {
    uint256 nodeId;
    address owner;
    uint256 creationTime;
    bytes32 data;
}

mapping(uint256 => FractalNode) public fractalNodes;
uint256 public nextNodeId;

Advantages

  • Recursive Replication: Fractal nodes can replicate recursively, allowing the creation of self-replicating structures.
  • Time-based Evolution: The fractal structure evolves over time, providing a dynamic aspect to the system.

Disadvantages

  • Gas Costs: Recursive replication can increase gas costs, especially for deeper fractal structures.
  • Complex Data Management: The recursive nature of the contract may make data retrieval and management more complex.

2. Replicating Fractals

The contract allows users to replicate fractal nodes recursively:

function replicateFractal(uint256 nodeId, uint8 depth) public {
    require(fractalNodes[nodeId].owner == msg.sender, "Not the owner");
    require(depth > 0, "Depth must be greater than 0");

    FractalNode storage parentNode = fractalNodes[nodeId];

    for (uint8 i = 0; i < depth; i++) {
        uint256 newNodeId = nextNodeId++;
        fractalNodes[newNodeId] = FractalNode({
            nodeId: newNodeId,
            owner: msg.sender,
            creationTime: block.timestamp + (i * 1 minutes),
            data: keccak256(abi.encodePacked(parentNode.data, i))
        });

        emit FractalCreated(newNodeId, msg.sender, block.timestamp + (i * 1 minutes));

        if (depth > 1) {
            replicateFractal(newNodeId, depth - 1);
        }
    }
}

Advantages

  • Fractal Expansion: Users can expand fractal nodes recursively, creating a self-replicating and expanding structure.
  • Data Evolution: Each new node is derived from its parent, creating a dynamic and evolving data structure.

Disadvantages

  • Gas-Intensive: Deep recursive replication may lead to high gas consumption, limiting the depth of fractal replication.
  • Recursive Complexity: Managing deep fractal structures can introduce significant complexity and may require optimized handling of recursive calls.

Full Contract Code


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.21;

contract FractalSelfReplication {
    struct FractalNode {
        uint256 nodeId;
        address owner;
        uint256 creationTime;
        bytes32 data;
    }

    mapping(uint256 => FractalNode) public fractalNodes;
    uint256 public nextNodeId;

    event FractalCreated(uint256 nodeId, address owner, uint256 creationTime);

    function createFractalNode(bytes32 data) public {
        uint256 nodeId = nextNodeId++;
        fractalNodes[nodeId] = FractalNode({
            nodeId: nodeId,
            owner: msg.sender,
            creationTime: block.timestamp,
            data: data
        });

        emit FractalCreated(nodeId, msg.sender, block.timestamp);
    }

    function replicateFractal(uint256 nodeId, uint8 depth) public {
        require(fractalNodes[nodeId].owner == msg.sender, "Not the owner");
        require(depth > 0, "Depth must be greater than 0");

        FractalNode storage parentNode = fractalNodes[nodeId];

        for (uint8 i = 0; i < depth; i++) {
            uint256 newNodeId = nextNodeId++;
            fractalNodes[newNodeId] = FractalNode({
                nodeId: newNodeId,
                owner: msg.sender,
                creationTime: block.timestamp + (i * 1 minutes),
                data: keccak256(abi.encodePacked(parentNode.data, i))
            });

            emit FractalCreated(newNodeId, msg.sender, block.timestamp + (i * 1 minutes));

            if (depth > 1) {
                replicateFractal(newNodeId, depth - 1);
            }
        }
    }

    function getFractalData(uint256 nodeId, uint8 depth)
        public
        view
        returns (bytes32[] memory)
    {
        bytes32[] memory dataSequence = new bytes32[](depth);
        FractalNode memory currentNode = fractalNodes[nodeId];

        for (uint8 i = 0; i < depth; i++) {
            dataSequence[i] = keccak256(abi.encodePacked(currentNode.data, i));
        }

        return dataSequence;
    }

    function timeFractalLogic(uint256 nodeId)
        public
        view
        returns (string memory)
    {
        FractalNode storage node = fractalNodes[nodeId];
        require(node.owner == msg.sender, "Not the owner");

        uint256 timeSinceCreation = block.timestamp - node.creationTime;

        if (timeSinceCreation < 1 hours) {
            return "The fractal is still forming.";
        } else if (timeSinceCreation < 24 hours) {
            return "The fractal is stable.";
        } else {
            return "The fractal is evolving.";
        }
    }

    function generateFractalKey(uint256 nodeId) public view returns (bytes32) {
        FractalNode storage node = fractalNodes[nodeId];
        require(node.owner == msg.sender, "Not the owner");

        bytes32 fractalKey = keccak256(
            abi.encodePacked(node.data, block.timestamp, node.nodeId)
        );
        return fractalKey;
    }
}