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Four [[Catalan solid]]s, convex: ...[[Pyramid (geometry)|pyramids]], and include certain Johnson solids and [[Catalan solid]]s. ...

...3=Tagantsev |first3=Alexander K. |date=2013 |title=Flexoelectric Effect in Solids |journal=[[Annual Review of Materials Research]] |volume=43 |pages=387–421 ...material.<ref>{{cite journal| vauthors = Abdollahi A, Domingo N, Arias I, Catalan G | date = 2019| title = Converse flexoelectricity yields large piezorespon ...

...s solid is topologically equivalent to the [[disdyakis dodecahedron]], a [[Catalan solid]], which can be seen as a rhombic dodecahedron with shorter rhombic p [[File:HC R1-1stellation.png|thumb|240px|Tesselation of space with Escher's solids]] ...

.../ref><ref>{{Cite web|url=https://oeis.org/A000108|title=Sloane's A000108 : Catalan numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEI ==== Solids ==== ...

Cubes and all rectangular solids have Rupert passages in every direction that is not parallel to any of thei ...2, J73, J74, J75, J77) are known to have the Rupert property. (The Catalan solids for which the Rupert property are not known are the [[deltoidal hexecontahe ...

...ean solids, and have symmetries taking any face to any other face. Catalan solids that cannot be ideal include the [[rhombic dodecahedron]] and the [[triakis ...yhedron; for instance this is true of the [[tetrakis hexahedron]], another Catalan solid.{{sfnp|Dillencourt|Smith|1996}} ...

...ce. The most prominent among these are the five [[Platonic solids|Platonic Solids]], and the 4-dimensional polytopes related to the [[120-cell]] and the [[60 * Two of the [[Catalan solid]]s ...

| chapter = Chapter 21, ''Naming the Archimedean and Catalan polyhedra and tilings, Euclidean Plane Tessellations'' ...]] calls the uniform duals '''''Catalan tilings''''', in parallel to the [[Catalan solid]] polyhedra. ...

</ref> ''Beginner's Book of Modular Origami Polyhedra: The Platonic Solids'', 2008. ''Modular Origami Polyhedra'', also with Lewis Simon, 2nd ed., 199 ...nal)|Science]]|jstor=1734491|pages=653–655|series=New Series|title=Planes, solids, and nolids|volume=176}} ...

...s rendus hebdomadaires des séances de l'Académie des sciences 59|author=E. Catalan|publisher=Kluwer Academic éditeurs|year=1864|page=618}}</ref> |0.91596 55941 77219 01505 <ref group="Mw">{{MathWorld|CatalansConstant|Catalan's Constant}}</ref><ref group="OEIS">{{OEIS2C|A006752}}</ref> ...

* 2002&nbsp;– [[Preda Mihăilescu]] proves [[Catalan's conjecture]]. ...