#include <symmetry.h>
Inheritance diagram for EMAN::IcosahedralSym:
Public Member Functions | |
IcosahedralSym () | |
Constructor calls PlatonicSym::init. | |
virtual | ~IcosahedralSym () |
virtual string | get_name () const |
Return IcosahedralSym::NAME. | |
virtual string | get_desc () const |
Get a description. | |
virtual int | get_max_csym () const |
Gets the maximum symmetry of this object. | |
virtual Transform | get_sym (const int n) const |
This function provides access to the unique rotational symmetries of an icosahedron. | |
virtual int | get_nsym () const |
Gets the total number of unique roational symmetry operations associated with this symmetry For icosahedral symmetry, this is 60. | |
virtual float | get_az_alignment_offset () const |
Get the azimuth alignment offset required to ensure that orientations align correctly with symmetric axes of the icosahedron. | |
Static Public Member Functions | |
Symmetry3D * | NEW () |
Factory support function NEW. | |
Static Public Attributes | |
const string | NAME = "icos" |
The name of this class - used to access it from factories etc. Should be "icos". | |
Private Member Functions | |
IcosahedralSym (const IcosahedralSym &) | |
Disallow copy construction. | |
IcosahedralSym & | operator= (const IcosahedralSym &) |
Disallow assignment. |
An icosahedron has m=5, n=3, F=20 E=30=nF/2, V=12=nF/m,since vertices shared by 5 triangles It is composed of 20 triangles. E=3*20/2 A dodecahedron has m=3, n=5 F=12 E=30 V=20 It is composed of 12 pentagons. E=5*12/2; V= 5*12/3, since vertices shared by 3 pentagons"
Definition at line 858 of file symmetry.h.
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Constructor calls PlatonicSym::init.
Definition at line 863 of file symmetry.h. 00863 {init(); }
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Definition at line 864 of file symmetry.h. 00864 { }
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Disallow copy construction.
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Get the azimuth alignment offset required to ensure that orientations align correctly with symmetric axes of the icosahedron. This offset is directly related to the way the symmetric operations are generated by get_sym. All orientations generated as a result of using the delimiters supplied by this class should by offset by this azimuth to ensure proper alignment with tetrahedral objects in EMAN2 Reimplemented from EMAN::Symmetry3D. Definition at line 1743 of file symmetry.cpp. Referenced by get_sym(). 01743 { return 234.0; } // This offset positions a 3 fold axis on the positive x axis
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Get a description.
Implements EMAN::FactoryBase. Definition at line 882 of file symmetry.h. 00882 { return "Icosahedral symmetry support"; }
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Gets the maximum symmetry of this object. This is used by OrientationGenerators, and is probably not something a general user would utilize.
Implements EMAN::Symmetry3D. Definition at line 888 of file symmetry.h. 00888 { return 5; }// 5 is the greatest symmetry
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Return IcosahedralSym::NAME.
Implements EMAN::FactoryBase. Definition at line 877 of file symmetry.h. 00877 { return NAME; };
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Gets the total number of unique roational symmetry operations associated with this symmetry For icosahedral symmetry, this is 60.
Implements EMAN::Symmetry3D. Definition at line 902 of file symmetry.h. 00902 { return 60; };
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This function provides access to the unique rotational symmetries of an icosahedron. We have placed the icosahedral symmetry group with a face along the z-axis. In all, there are 60 (accessed by get_nysm) unique rotational symmetric operations for the icosahedron.
Implements EMAN::Symmetry3D. Definition at line 1745 of file symmetry.cpp. References get_az_alignment_offset(). 01746 { 01747 // These rotations courtesy of Phil Baldwin 01748 static double lvl0=0.; // there is one pentagon on top; five-fold along z 01749 static double lvl1= 63.4349; // that is atan(2) // there are 5 pentagons with centers at this height (angle) 01750 static double lvl2=116.5651; //that is 180-lvl1 // there are 5 pentagons with centers at this height (angle) 01751 static double lvl3=180.0; 01752 01753 static double ICOS[180] = { // This is with a pentagon normal to z 01754 0,lvl0,0, 0,lvl0,288, 0,lvl0,216, 0,lvl0,144, 0,lvl0,72, 01755 0,lvl1,36, 0,lvl1,324, 0,lvl1,252, 0,lvl1,180, 0,lvl1,108, 01756 72,lvl1,36, 72,lvl1,324, 72,lvl1,252, 72,lvl1,180, 72,lvl1,108, 01757 144,lvl1,36, 144,lvl1,324, 144,lvl1,252, 144,lvl1,180, 144,lvl1,108, 01758 216,lvl1,36, 216,lvl1,324, 216,lvl1,252, 216,lvl1,180, 216,lvl1,108, 01759 288,lvl1,36, 288,lvl1,324, 288,lvl1,252, 288,lvl1,180, 288,lvl1,108, 01760 36,lvl2,0, 36,lvl2,288, 36,lvl2,216, 36,lvl2,144, 36,lvl2,72, 01761 108,lvl2,0, 108,lvl2,288, 108,lvl2,216, 108,lvl2,144, 108,lvl2,72, 01762 180,lvl2,0, 180,lvl2,288, 180,lvl2,216, 180,lvl2,144, 180,lvl2,72, 01763 252,lvl2,0, 252,lvl2,288, 252,lvl2,216, 252,lvl2,144, 252,lvl2,72, 01764 324,lvl2,0, 324,lvl2,288, 324,lvl2,216, 324,lvl2,144, 324,lvl2,72, 01765 0,lvl3,0, 0,lvl3,288, 0,lvl3,216, 0,lvl3,144, 0,lvl3,72 01766 }; 01767 01768 int idx = n % 60; 01769 Dict d("type","eman"); 01770 // Transform3D ret; 01771 if (get_az_alignment_offset() == 234.0) { 01772 d["az"] =(float)ICOS[idx * 3 ]+90; 01773 d["alt"] = (float)ICOS[idx * 3 + 1]; 01774 d["phi"] = (float)ICOS[idx * 3 + 2]-90; 01775 // ret.set_rotation((float)ICOS[idx * 3 ]+90,(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]-90); 01776 } 01777 else { 01778 d["az"] =(float)(float)ICOS[idx * 3 ]; 01779 d["alt"] = (float)ICOS[idx * 3 + 1]; 01780 d["phi"] = (float)ICOS[idx * 3 + 2]; 01781 // ret.set_rotation((float)ICOS[idx * 3 ],(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]); 01782 } 01783 01784 // ret.set_rotation((float)ICOS[idx * 3 ],(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]); 01785 // if ( get_az_alignment_offset() != 0 ) { 01786 // Transform3D t(get_az_alignment_offset(),0,0); 01787 // ret = t*ret; 01788 // } 01789 return Transform(d); 01790 01791 }
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Factory support function NEW.
Definition at line 869 of file symmetry.h. 00870 { 00871 return new IcosahedralSym(); 00872 }
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Disallow assignment.
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The name of this class - used to access it from factories etc. Should be "icos".
Definition at line 45 of file symmetry.cpp. |