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. Author manuscript; available in PMC: 2022 Jul 11.

Published in final edited form as: Found Data Sci. 2021 Dec;3(4):677–700. doi: 10.3934/fods.2021017

Figure 7. — The illustration of the persistent Betti numbers $β_{q}^{α, 0}$ and the smallest nonzero eigenvalues of persistent Laplacians $λ_{q}^{α, 0}$ for the octahedron. Its edge length is $\sqrt{2}$ . The circumradius of any face is equal to $\sqrt{2} / \sqrt{3} \approx 0.8$ . The circumradius of the octahedron itself is equal to 1.