magnifies details of the 1-D fingerprints. The red lines in the figures on the left show the zeolite structures and the navy dots are the set of randomly sampled points on the pore surfaces. The SI contains animations of growing these fingerprints.  \
Fig. 2. [**Structures similar to a reference material**]{} (a) For each known zeolite, the two sets of four most similar structures, once selected using the TDA descriptor (PerH, one blue dot for a set of four) and once selected by the conventional descriptor (ConD, one red dot per set) are compared. This is done by plotting their average distances $D_{CS}$ in conventional space (x-axis) and their average distance $D_{TS}$ in the barcode space (y-axis) to the reference zeolite. The distances are normalized by the largest pairwise distance in the database. (b) The four structures most similar to the zeolite SSF respectively to IWV, as selected by either PerH or ConD. Their structural properties are given in Table \[StructProp\]. The inset in (a) highlights the four sets of four structures shown in (b).  \
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Fig. 3. [**Materials from the CoRE-MOF database that have a similar pore geometry**]{}. Each row gives examples of materials that are very similar. 