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+--- Thread: A verifiable knowledge graph of tetration (/showthread.php?tid=1829)
A verifiable knowledge graph of tetration - Lightrunner - 10/13/2026
Hey everyone,
I’ve been building a knowledge graph of tetration: an attempt to collect what is known about it in one place and make it accessible to everyone. I did this with a lot of help from AI, so I tried to make everything checkable and structured
Interactive graph: https://lightrunnerwastaken.github.io/tetration-graph/
Repository: https://github.com/Lightrunnerwastaken/tetration-graph
A lot of it comes from this forum, and I’ve tried to attribute results to the threads and people they come from. Mapping the literature also showed me that several things I first thought were new were already here, e.g. Sheldon’s 2017 computation of the critical bases of higher hyperoperations. If you find a result that is attributed wrongly, or missing, please tell me.
A few things where I’d especially value your opinion:
- New values for the TPID 10 sequence: η₇ ≈ 1.8397586607 and η₈ ≈ 1.8681465773 (Heptation/Octation touching y = x). Has anyone computed these independently?
- A first attempt at a “half rank” between exponentiation and tetration at base 2, and why perturbation theory around x+1 stops at about 4 digits: the remaining freedom is exactly the 1-periodic θ.
- Which papers or threads are still missing from the literature map?
RE: A verifiable knowledge graph of tetration - Lightrunner - 10/13/2026
test
sry I messed up smth with editing...