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| Keywords: WedgeSumSpheres.png en A wedge sum of two spheres with a cover appropriate to apply the Mayer-Vietoris sequence to calculate its homology groups Own work using POV-Ray and Inkscape Based on a drawing by User GeometryGirl public domain RobHar 2008-12-17 Data file The spheres were produced using POV-Ray v3 6 using the following code <source lang povray > include colors inc include shapes inc include textures inc camera location <0 0 -2> look_at <0 0 0> //Striped textures declare bluestripes texture pigment gradient y colour_map 0 rgb <0 0 1>0 1 rgb <1 1 1> scale 0 05 finish ambient 0 3 rotate <0 0 45> declare redstripes texture pigment gradient y colour_map 0 rgb <0 8 0 0>0 1 rgb <1 1 1> scale 0 05 finish ambient 0 3 rotate <0 0 -45> declare blueredstripes texture pigment gradient y colour_map 0 rgb <0 8 0 0>0 1 rgb <1 1 1> scale 0 05 finish ambient 0 3 rotate <0 0 -45> texture pigment gradient y colour_map 0 rgb <0 0 0 8>0 1 rgb <1 1 1> filter 1 scale 0 05 finish ambient 0 3 rotate <0 0 45> //Blue sphere object sphere <-0 5 0 0> 0 5 texture bluestripes clipped_by plane x -0 20 //Red sphere object sphere <0 5 0 0> 0 5 texture redstripes clipped_by plane -x -0 20 //Middle part union sphere <-0 5 0 0> 0 5 clipped_by plane -x 0 2 sphere <0 5 0 0> 0 5 clipped_by plane x 0 2 texture blueredstripes //Basepoint sphere <0 0 -0 2> 0 02 pigment colour Black //Empty background plane <0 1 0> -2 no_image light_source <0 1 5 -2> color White </source> Algebraic topology Created with Persistence of Vision Images with Povray source code | ||||
