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The Sketch
Raw ideas, half-formed proofs, wild conjectures, all welcome here. Post your mathematical thinking before it's ready. No credentials required. ?The Sketch is a public wall for mathematical intuitions at any stage of development. No gatekeeping. Post your idea before it's ready.
Only sketches whose author is asking for help making the idea rigorous.
Filtered by tag:#3n+1
Seeking rigorous insight
Intuition
The wedge of triangles feels like a hidden coordinate system for the 3n+1 problem — the same orbits everyone plots as a tree, but the geometry reorganizes them into a self-similar tiling. The golden ratio falling out of the side lengths feels like the geometry is telling me something the arithmetic keeps hidden.