For the Poincaré half-space model in dimension 2, the metric evaluates on the coordinate tangent vectors \(\frac{\partial}{\partial x}, \frac{\partial}{\partial y} \in T_pM\) as \[g_p\!\left(\frac{\partial}{\partial x^i}\bigg|_p,\;\frac{\partial}{\partial x^j}\bigg|_p\right) = \frac{1}{y^2}\,\delta_{ij},\] i.e. the coordinate tangent vectors are orthogonal and each has length \(\frac{1}{y}\) — shrinking to zero as \(p\) approaches the boundary \(y\to 0\), which is what makes the space “infinitely large” near the boundary.
Марк Эйдельштейн привлек внимание иностранных журналистов на модном показе14:58
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And yet the prospect of using origami to improve existing technologies is, for some, tantalizing. Moneesh Upmanyu at Northeastern University in the US, and one of his PhD students, were awarded a patent last year for a design that uses origami to make strong but foldable wing structures.
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