2⁵ = 32 is the vertex count of a 5-dimensional hypercube — a penteract. Each vertex is a 5-bit address (00000…11111); each edge flips exactly one bit. 32 vertices, 80 edges, folded from five dimensions onto the page and turning. Where the 512 rung was a 3-cube in space, the 32 is a 5-cube in address.
the 32 rung · 2⁵ · a penteract · 32 vertices · 80 edgesReal hypercube, real math. This is the exact 5-cube graph: 32 vertices (the 5-bit strings), joined when they differ in one bit — 5·32/2 = 80 edges, verified. It's rotated in two of its five planes and projected 5D→2D (a fixed pentagonal projection, no library). What's LIT: the graph and the count 2⁵=32. The tower-reading — that 32 is the 5-bit rung of a binary corpus — is the honest frame; the address space is real, its contents are the tower above.