Positional notation is an ultrametric tree of nested time-cycles. Every "base-10" contains a silent interpretive frame — and every silent frame is a latent failure mode. Explore the dual geometry where ultrametric trees meet Archimedean surfaces.
Interactive dual-geometry knowledge interface. Witness how ultrametric trees flatten into Archimedean lines — and the information lost in flattening.
D3.js • Interactive • LiveConstruct numbers by drawing distinctions. Switch between base systems and watch the positional tree grow in real-time. Build 10 in any base. Coming soon.
React • D3.js • In DevelopmentPaper: Ultrametric foundations for quantum advantage. Explore the connection between p-adic spaces and qubit topologies.
Paper • HTML • Published