A <a href="https://en.wikipedia.org/wiki/Cairo_pentagonal_tiling" class="extiw" title="en:Cairo pentagonal tiling">Cairo pentagonal tiling</a>, formed by overlaying two perpendicular hexagonal tilings, each formed by flattening a regular hexagonal tiling by a factor of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {3}}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><msqrt><mn>3</mn></msqrt></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle {\sqrt {3}}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b19c09494138b5082459afac7f9a8d99c546fcd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:2.843ex;" alt="{\displaystyle {\sqrt {3}}}"></span> in perpendicular directions. The resulting pentagonal tiles can be given integer coordinates (±2,0), (±3,3), (0,4). Unlike many other forms of the Cairo tiling, each edge is collinear with infinitely many other edges.
<a href="//commons.wikimedia.org/wiki/User:David_Eppstein" class="mw-redirect" title="User:David Eppstein">David Eppstein</a>
<span class="int-own-work" lang="en">Own work</span>