#include <symmetry.h>
Inheritance diagram for EMAN::OctahedralSym:
Public Member Functions | |
OctahedralSym () | |
Constructor calls PlatonicSym::init. | |
virtual | ~OctahedralSym () |
virtual string | get_name () const |
Return OctahedralSym::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 octahedron. | |
virtual int | get_nsym () const |
Gets the total number of unique roational symmetry operations associated with this symmetry For octahedral symmetry this is 24. | |
Static Public Member Functions | |
Symmetry3D * | NEW () |
Factory support function NEW. | |
Static Public Attributes | |
const string | NAME = "oct" |
The name of this class - used to access it from factories etc. Should be "oct". | |
Private Member Functions | |
OctahedralSym (const OctahedralSym &) | |
Disallow copy construction. | |
OctahedralSym & | operator= (const OctahedralSym &) |
Disallow assignment. |
"A cube has m=3, n=4, F=6 E=12=nF/2, V=8=nF/m,since vertices shared by 3 squares; It is composed of 6 squares. An octahedron has m=4, n=3, F=8 E=12=nF/2, V=6=nF/m,since vertices shared by 4 triangles"
Definition at line 782 of file symmetry.h.
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Constructor calls PlatonicSym::init.
Definition at line 787 of file symmetry.h. 00787 {init();}
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Definition at line 788 of file symmetry.h. 00788 {}
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Disallow copy construction.
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Get a description.
Implements EMAN::FactoryBase. Definition at line 806 of file symmetry.h. 00806 { return "Octahedral 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 812 of file symmetry.h. 00812 { return 4; }
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Return OctahedralSym::NAME.
Implements EMAN::FactoryBase. Definition at line 801 of file symmetry.h. 00801 { return NAME; };
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Gets the total number of unique roational symmetry operations associated with this symmetry For octahedral symmetry this is 24.
Implements EMAN::Symmetry3D. Definition at line 837 of file symmetry.h. 00837 { return 24; };
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This function provides access to the unique rotational symmetries of an octahedron. We have placed the octahedral symmetry group with a face along the z-axis. In all, there are 24 (accessed by get_nysm) unique rotational symmetric operations for the octahedron. In the terminology defined Append A (titled Symmetry Elements) in the manuscript Baldwin and Penczek, 2007. The Transform Class in SPARX and EMAN2. JSB 157(250-261), Doctor Phil has this to say: "B^4=A^3=1; BABA=1; implies AA=BAB, ABA=B^3 , AB^2A = BBBABBB and 20 words with at most a single A 1 B BB BBB A BA AB BBA BAB ABB BBBA BBAB BABB ABBB BBBAB BBABB BABBB BBBABB BBABBB BBBABBB also ABBBA is distinct yields 4 more words ABBBA BABBBA BBABBBA BBBABBBA for a total of 24 words Note A BBB A BBB A reduces to BBABB and B A BBB A is the same as A BBB A BBB etc."
Implements EMAN::Symmetry3D. Definition at line 1796 of file symmetry.cpp. 01797 { 01798 // These rotations courtesy of Phil Baldwin 01799 // We have placed the OCT symmetry group with a face along the z-axis 01800 static double lvl0=0.; 01801 static double lvl1=90.; 01802 static double lvl2=180.; 01803 01804 static double OCT[72] = {// This is with a face of a cube along z 01805 0,lvl0,0, 0,lvl0,90, 0,lvl0,180, 0,lvl0,270, 01806 0,lvl1,0, 0,lvl1,90, 0,lvl1,180, 0,lvl1,270, 01807 90,lvl1,0, 90,lvl1,90, 90,lvl1,180, 90,lvl1,270, 01808 180,lvl1,0, 180,lvl1,90, 180,lvl1,180, 180,lvl1,270, 01809 270,lvl1,0, 270,lvl1,90, 270,lvl1,180, 270,lvl1,270, 01810 0,lvl2,0, 0,lvl2,90, 0,lvl2,180, 0,lvl2,270 01811 }; 01812 01813 int idx = n % 24; 01814 // Transform3D ret; 01815 // ret.set_rotation((float)OCT[idx * 3 ],(float)OCT[idx * 3 + 1], (float)OCT[idx * 3 + 2] ); 01816 Dict d("type","eman"); 01817 d["az"] = (float)OCT[idx * 3 ]; 01818 d["alt"] = (float)OCT[idx * 3 + 1]; 01819 d["phi"] = (float)OCT[idx * 3 + 2]; 01820 return Transform(d); 01821 01822 }
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Factory support function NEW.
Definition at line 793 of file symmetry.h. 00794 { 00795 return new OctahedralSym(); 00796 }
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Disallow assignment.
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The name of this class - used to access it from factories etc. Should be "oct".
Definition at line 44 of file symmetry.cpp. |