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In the context of the AdS/CFT correspondence, we propose a general scheme forreconstructing bulk geometric quantities in a static pure AdS background usingthe partial entanglement entropy (PEE), a measure of the entanglement structureon the boundary CFT. The PEE between any two points $\mathcal{I}(\vec{x},\vec{y})$ serves as the fundamental building block of the PEE structure.Following \cite{Lin:2023rbd}, we geometrize any two-point PEE$\mathcal{I}(\vec{x}, \vec{y})$ by the bulk geodesic connecting two boundarypoints $\vec{x}$ and $\vec{y}$, which we call the PEE thread, with the densityof the threads determined by the boundary PEE structure. In the AdS bulk, theset of all the PEE threads forms a continuous ``network'', which we call thePEE network.  In this paper, we show that the density of the PEE threads passing throughany bulk point is exactly $1/(4G)$. Based on this observation we give acomplete reformulation of the Ryu-Takayanagi (RT) formula for a genericboundary region in general dimensional Poincar\'e AdS space. More explicitly,for any static boundary region $A$, the homologous surface $\Sigma_{A}$ thathas the minimal number of intersections with the bulk PEE network is exactlythe RT surface of $A$, and the minimal number of intersections reproduces theholographic entanglement entropy. The reconstruction for the area of bulkgeometric quantities by counting the number of intersections with the bulk PEEnetwork applies to generic bulk geometric quantities. Interestingly, thisreconstruction indicates a pure geometric statement, which is exactly theso-called \emph{Crofton formula} in Poincar\'e AdS.

Weaving the (AdS) spaces with partial entanglement entropy threads