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Programs: geodesic 6 images
tree :: Antiprism Examples and Visual Reference > Program Examples > Programs: geodesic
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    Example commands using the geodesic program. The main purpose of the program is to convert a polyhedron to a Class I, II or III geodesic sphere. It can also create a planar subdivided model, and be used to convert a polyhedron into an approximation of a spherical tiling.
 
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F4 Class I  Med    Lrg  
Description : A four frequency Class I icosahedral geodesic sphere.

This can be specified as the Class I pattern repeated according to Fuller's stepping frequency

   geodesic -F 4 std_ico | antiview
as the Class I pattern repeated four times along an edge
   geodesic -f 4 std_ico | antiview
or as general pattern
   geodesic -c 4,0 std_ico | antiview

View this model with the command

geodesic -f 4 std_ico | antiview
Click on one of the size names above to enlarge this image
 
F4 Class II  Med    Lrg  
Description : A four frequency Class II icosahedral geodesic sphere.

This can be specified as the Class II pattern repeated according to Fuller's stepping frequency

   geodesic -F 4 -c 2 std_ico | antiview
as the Class II pattern repeated twice along an edge
   geodesic -f 2 -c 2 std_ico | antiview
or using a general pattern
   geodesic -c 2,2 std_ico | antiview

View this model with the command

geodesic -F 4 -c 2 std_ico | antiview
Click on one of the size names above to enlarge this image
 
F6 Class III  Med    Lrg  
Description : A six frequency Class III icosahedral geodesic sphere.

This can be specified as the particular Class III pattern repeated according to Fuller's stepping frequency

   geodesic -F 6 -c 2,1 std_ico | antiview
as the Class III pattern repeated twice along an edge
   geodesic -f 2 -c 2,1 std_ico | antiview
or using a general pattern
   geodesic -c 4,2 std_ico | antiview

View this model with the command

geodesic -F 6 -c 2,1 std_ico | antiview
Click on one of the size names above to enlarge this image
 
Pre-triangulate  Med    Lrg  
Description : The geodesic division is only carried out on polyhedra whose faces are all triangles. When a polyhedron has faces with more than three sides these are first converted to triangles by attaching the edges of the face to its centre. The following example is a 'one frequency' rhombicosidodecahedron. The square and pentagonal faces have been converted to triangles. This would be the base model used for any higher frequency subdivisions.

View this model with the command

off_color -e white u_rhombicosi | geodesic | antiview -v 0.015
Click on one of the size names above to enlarge this image
 
Planar  Med    Lrg  
Description : The following example is a planar Class III 2,1 rhombicosidodecahedron. The square and pentagonal faces are first converted to triangles by joining a face's edges to its centre. The geodesic subdivision is applied to this base model. In the planar models the subdivision is based on dividing the original edges by equal length (as opposed to equal central angle in the spherical models), and the models are not projected onto a sphere afterwards.

View this model with the command

geodesic -M p -c 2,1 u_rhombicosi | antiview -v 0.01
Click on one of the size names above to enlarge this image
 
Spherical Tiling  Med    Lrg  
Description : The elements of an icosahedron are coloured. It is converted to a geodesic sphere. The new edges and vertices are not displayed (coloured invisible), the subdivided faces and edges, and the original vertices, keep their original colours. The result is an approximation of a spherical tiling of the original polyhedron.

View this model with the command

off_color -e white -v red -f P -m map_darkred:tan:grey20 ico | geodesic -f 8 | antiview -v 0.04 -e 0.02 -V x -E x
Click on one of the size names above to enlarge this image
 

 

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Contact: adrian@antiprism.com      -      Generated on vie 22 dic 2017 13:37:55 CET