#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 rotational 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 | |
static Symmetry3D * | NEW () |
Factory support function NEW. | |
Static Public Attributes | |
static 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 855 of file symmetry.h.
EMAN::IcosahedralSym::IcosahedralSym | ( | ) | [inline] |
Constructor calls PlatonicSym::init.
Definition at line 860 of file symmetry.h.
References EMAN::PlatonicSym::init().
Referenced by NEW().
00860 {init(); }
virtual EMAN::IcosahedralSym::~IcosahedralSym | ( | ) | [inline, virtual] |
EMAN::IcosahedralSym::IcosahedralSym | ( | const IcosahedralSym & | ) | [private] |
Disallow copy construction.
float IcosahedralSym::get_az_alignment_offset | ( | ) | const [virtual] |
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 1783 of file symmetry.cpp.
Referenced by get_sym().
virtual string EMAN::IcosahedralSym::get_desc | ( | ) | const [inline, virtual] |
Get a description.
Implements EMAN::FactoryBase.
Definition at line 879 of file symmetry.h.
virtual int EMAN::IcosahedralSym::get_max_csym | ( | ) | const [inline, virtual] |
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 885 of file symmetry.h.
virtual string EMAN::IcosahedralSym::get_name | ( | ) | const [inline, virtual] |
Return IcosahedralSym::NAME.
Implements EMAN::FactoryBase.
Definition at line 874 of file symmetry.h.
References NAME.
00874 { return NAME; };
virtual int EMAN::IcosahedralSym::get_nsym | ( | ) | const [inline, virtual] |
Gets the total number of unique rotational symmetry operations associated with this symmetry For icosahedral symmetry, this is 60.
Implements EMAN::Symmetry3D.
Definition at line 899 of file symmetry.h.
Transform IcosahedralSym::get_sym | ( | const int | n | ) | const [virtual] |
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.
n | the symmetric operation number. |
Implements EMAN::Symmetry3D.
Definition at line 1785 of file symmetry.cpp.
References get_az_alignment_offset().
01786 { 01787 // These rotations courtesy of Phil Baldwin 01788 static double lvl0=0.; // there is one pentagon on top; five-fold along z 01789 static double lvl1= 63.4349; // that is atan(2) // there are 5 pentagons with centers at this height (angle) 01790 static double lvl2=116.5651; //that is 180-lvl1 // there are 5 pentagons with centers at this height (angle) 01791 static double lvl3=180.0; 01792 01793 static double ICOS[180] = { // This is with a pentagon normal to z 01794 0,lvl0,0, 0,lvl0,288, 0,lvl0,216, 0,lvl0,144, 0,lvl0,72, 01795 0,lvl1,36, 0,lvl1,324, 0,lvl1,252, 0,lvl1,180, 0,lvl1,108, 01796 72,lvl1,36, 72,lvl1,324, 72,lvl1,252, 72,lvl1,180, 72,lvl1,108, 01797 144,lvl1,36, 144,lvl1,324, 144,lvl1,252, 144,lvl1,180, 144,lvl1,108, 01798 216,lvl1,36, 216,lvl1,324, 216,lvl1,252, 216,lvl1,180, 216,lvl1,108, 01799 288,lvl1,36, 288,lvl1,324, 288,lvl1,252, 288,lvl1,180, 288,lvl1,108, 01800 36,lvl2,0, 36,lvl2,288, 36,lvl2,216, 36,lvl2,144, 36,lvl2,72, 01801 108,lvl2,0, 108,lvl2,288, 108,lvl2,216, 108,lvl2,144, 108,lvl2,72, 01802 180,lvl2,0, 180,lvl2,288, 180,lvl2,216, 180,lvl2,144, 180,lvl2,72, 01803 252,lvl2,0, 252,lvl2,288, 252,lvl2,216, 252,lvl2,144, 252,lvl2,72, 01804 324,lvl2,0, 324,lvl2,288, 324,lvl2,216, 324,lvl2,144, 324,lvl2,72, 01805 0,lvl3,0, 0,lvl3,288, 0,lvl3,216, 0,lvl3,144, 0,lvl3,72 01806 }; 01807 01808 int idx = n % 60; 01809 Dict d("type","eman"); 01810 // Transform3D ret; 01811 if (get_az_alignment_offset() == 234.0) { 01812 d["az"] =(float)ICOS[idx * 3 ]+90; 01813 d["alt"] = (float)ICOS[idx * 3 + 1]; 01814 d["phi"] = (float)ICOS[idx * 3 + 2]-90; 01815 // ret.set_rotation((float)ICOS[idx * 3 ]+90,(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]-90); 01816 } 01817 else { 01818 d["az"] =(float)(float)ICOS[idx * 3 ]; 01819 d["alt"] = (float)ICOS[idx * 3 + 1]; 01820 d["phi"] = (float)ICOS[idx * 3 + 2]; 01821 // ret.set_rotation((float)ICOS[idx * 3 ],(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]); 01822 } 01823 01824 // ret.set_rotation((float)ICOS[idx * 3 ],(float)ICOS[idx * 3 + 1], (float)ICOS[idx * 3 + 2]); 01825 // if ( get_az_alignment_offset() != 0 ) { 01826 // Transform3D t(get_az_alignment_offset(),0,0); 01827 // ret = t*ret; 01828 // } 01829 return Transform(d); 01830 01831 }
static Symmetry3D* EMAN::IcosahedralSym::NEW | ( | ) | [inline, static] |
Factory support function NEW.
Definition at line 866 of file symmetry.h.
References IcosahedralSym().
00867 { 00868 return new IcosahedralSym(); 00869 }
IcosahedralSym& EMAN::IcosahedralSym::operator= | ( | const IcosahedralSym & | ) | [private] |
Disallow assignment.
const string IcosahedralSym::NAME = "icos" [static] |
The name of this class - used to access it from factories etc. Should be "icos".
Definition at line 910 of file symmetry.h.
Referenced by EMAN::PlatonicSym::get_delimiters(), and get_name().