Network Topology System Using Prime Number Connection Rules
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Solution Overview
Problem
High-performance computer networks with multiple nodes become complex and power-consuming due to the increasing number of switches required for efficient communication, leading to higher costs and reduced efficiency.
Innovation Solution
A network topology system and method that calculates connection rules based on prime number differences and recursive sequences to establish connections between nodes without using switches, resulting in a simplified structure and reduced power consumption, while maintaining efficient communication.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If switches are used to enable communication between multiple nodes, then communication speed between nodes is improved, but device complexity and power consumption increase significantly
Solution Approach 1:
The patent extracts and eliminates the switch component from the network architecture. By using direct peer-to-peer connections between nodes based on mathematical connection rules, the system removes the need for intermediate switching devices, thereby reducing device complexity while maintaining communication capability
Solution Approach 2:
Each node in the network autonomously determines its connections using mathematical algorithms (prime number differences and recursive sequences). Nodes self-organize their communication paths without requiring external switch control, enabling the network to serve itself and eliminating the need for centralized switching infrastructure
2Productivity
If the number of nodes is increased to improve processing power, then computational capability is improved, but the number of switches and network complexity increase
Solution Approach 1:
The mathematical connection rules (based on prime number differences and recursive sequences) provide a universal framework that works for any number of nodes. This universal algorithm allows the network to scale indefinitely without requiring different switching architectures, as the same connection rules adapt automatically to any node count
Solution Approach 2:
By removing switches from the system entirely and replacing them with direct node-to-node connections governed by mathematical rules, the patent eliminates the component that would otherwise need to increase in quantity as the network scales. The system achieves scalability without proportional increases in switching infrastructure
3Productivity
If switches are used to maintain communication efficiency, then communication capability is improved, but power consumption increases
Solution Approach 1:
Nodes autonomously manage their own communication connections using local computation of the mathematical algorithms. Each node independently determines which other nodes to connect with based on the connection rules, eliminating the need for energy-consuming switch devices that would otherwise control and manage network traffic
Solution Approach 2:
The patent removes the power-consuming switch component from the network architecture. By replacing active switching infrastructure with passive direct connections between nodes, the system eliminates the stationary power consumption associated with switches while maintaining communication efficiency through optimized node-to-node pathways
Data Source
AI summary
A network topology system comprises a plurality of nodes, each of the plurality of nodes having a set of connection rules which is built by the steps of: generating a series of prime number differences; generating a series of communication strategy numbers; extracting as many terms as the number of connecting nodes from a recursive sequences to serve as an index series; generating a series of connection strategy numbers by extracting the Nth terms from the series of communication strategy numbers, wherein N stands for each number of the index series; and generating a series of connecting nodes numbers by calculating the sum of each odd number and each term of the series of connection strategy numbers so as to build the connection rules for each odd-numbered node to connect the nodes numbered in corresponding with the numbers of the connecting nodes number series.