These diagrams are drawn by Michael Barr’s diagxy package and are taken from the manual:
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This site is a showcase for using LatexRender for mathematics in WordPress
![\bfig
\square/>>`>`>` >->/[A`B`C`D;e`f`g`m]
\morphism(500,500)|m|/.>/<-500,-500>[B`C;h]
\efig](/steve/wordpress/latexrender/pictures/f122b30e3dbe06eb273ed86f98a3cae3.gif "\bfig
\square/>>`>`>` >->/[A`B`C`D;e`f`g`m]
\morphism(500,500)|m|/.>/<-500,-500>[B`C;h]
\efig")
![\bfig
\Vtrianglepair[A`B`C`D;f`g`h`k`l]
\efig](/steve/wordpress/latexrender/pictures/9da0bf15214a3e91d475b3719d670b50.gif "\bfig
\Vtrianglepair[A`B`C`D;f`g`h`k`l]
\efig")
![\bfig
\place(0,0)[\twoar(1,0)]
\place(200,0)[\twoar(0,1)]
\place(400,0)[\twoar(1,1)]
\place(600,0)[\twoar(0,-1)]
\place(800,0)[\twoar(1,2)]
\place(1000,0)[\twoar(1,3)]
\place(1200,0)[\twoar(1,-3)]
\place(1400,0)[\twoar(-3,1)]
\place(1600,0)[\twoar(-1,-3)]
\place(1800,0)[\twoar(255,77)]
\efig](/steve/wordpress/latexrender/pictures/3706c6db142b5b344709bda477c05ff6.gif "\bfig
\place(0,0)[\twoar(1,0)]
\place(200,0)[\twoar(0,1)]
\place(400,0)[\twoar(1,1)]
\place(600,0)[\twoar(0,-1)]
\place(800,0)[\twoar(1,2)]
\place(1000,0)[\twoar(1,3)]
\place(1200,0)[\twoar(1,-3)]
\place(1400,0)[\twoar(-3,1)]
\place(1600,0)[\twoar(-1,-3)]
\place(1800,0)[\twoar(255,77)]
\efig")
![\bfig
\cube|arlb|/ >->` >->`>`>/<1000,1000>[A`B`C`D;f`g`h`k]%
(400,400)|arlb|/>`>`>`>/<900,900>[A^{\prime}`B^{\prime}`C^{\prime}`D^{\prime};f^{\prime}`g^{\prime}`h^{\prime}`k^{\prime}]%
|rrrr|/<-`<-`<-`<-/[\alpha`\beta`\gamma`\delta]
\efig](/steve/wordpress/latexrender/pictures/49fa5a8a95ca8a3f80c8d87b40a54830.gif "\bfig
\cube|arlb|/ >->` >->`>`>/<1000,1000>[A`B`C`D;f`g`h`k]%
(400,400)|arlb|/>`>`>`>/<900,900>[A^{\prime}`B^{\prime}`C^{\prime}`D^{\prime};f^{\prime}`g^{\prime}`h^{\prime}`k^{\prime}]%
|rrrr|/<-`<-`<-`<-/[\alpha`\beta`\gamma`\delta]
\efig")
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