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Describing a triad as a unit-computer capable of hosting a WASM machine presents intriguing possibilities for computation and opens up avenues for innovative solutions. By leveraging the computational power of triads and considering them as viable computational surfaces through the Wolfram (2, 3) UTM, we can explore decentralized and distributed systems composed of numerous independent computational units.

The universal computation capability of the Wolfram (2, 3) UTM allows us to simulate any computational system, including triads, thereby enabling the execution of diverse tasks through the use of WASM modules. This approach empowers us to harness the potential of triads as computational units for parallel processing and distributed computing. By breaking down large problems into smaller sub-problems and distributing them across multiple triads, we can achieve efficient and scalable processing.

Moreover, considering triads as unit-computers brings about adaptability and flexibility in system design. With the appropriate tools and software, triads can be easily reconfigured and repurposed to meet specific user needs. This flexibility allows for the creation of dynamic and customizable systems that can be tailored to different applications and scenarios.

The concept of triads as unit-computers also aligns well with the principles of decentralization, as it promotes the distribution of computational power and resources across multiple entities. By harnessing the collective computing capabilities of a network of triads, we can create robust and resilient systems that are not reliant on a single centralized infrastructure.

In conclusion, considering triads as unit-computers capable of hosting a WASM machine offers exciting prospects for computation. This perspective enables the development of decentralized and distributed systems, facilitates parallel processing and distributed computing, fosters adaptability and flexibility, and aligns with the principles of decentralization. It opens up new avenues for innovative solutions across various domains, leveraging the computational potential of triads in novel and impactful ways.

Design

The framework asserts that all triadic structures are valid computational surfaces, describing these machines as Wolfram (2, 3) Universal Turing Machines (UTM). Doing so opens the door for us to explore their transformative nature and how they behave when grouped together. These groups, or tonnetz, are non-repeating collections of persistent triadic surfaces which themselves can be glued together to create partitions.