Magic Cube

  static final int NUM_CORNERS = 20;

  static final int NUM_CENTERS = 12;

  static final int NUM_EDGES   = 30;

  // the quadruple ( vertex1, vertex2, face1, face2 ) defining an edge.

  // In fact the 2 vertices already define it, the faces only provide easy

  // way to get to know the colors. Order: arbitrary. Face1 arbitrarily on

  // the 'left' or right of vector vertex1 --> vertex2, according to Quat.

  static final int[][] mEdgeMap =

         {

           {  0, 12,  0,  8},

           { 12,  4,  0,  9},

           {  4, 14,  0,  4},

           { 14,  2,  0, 11},

           {  2,  0,  0,  1},

           { 14,  9,  4, 11},

           {  9, 11,  3, 11},

           { 11, 18,  2, 11},

           { 18,  2,  1, 11},

           { 18,  6,  1,  2},

           {  6, 16,  1,  7},

           { 16,  0,  8,  1},

           { 16, 10,  7,  8},

           { 10,  8, 10,  8},

           {  8, 12,  9,  8},

           {  8, 13,  9, 10},

           { 13,  5,  9,  5},

           {  5,  4,  9,  4},

           {  5, 15,  5,  4},

           { 15,  9,  3,  4},

           { 11, 19,  2,  3},

           { 19,  7,  2,  6},

           {  7,  6,  2,  7},

           {  7, 17,  7,  6},

           { 17, 10,  7, 10},

           { 17,  1, 10,  6},

           {  1,  3,  5,  6},

           {  3, 19,  3,  6},

           {  1, 13, 10,  5},

           {  3, 15,  3,  5},

         };

  // the five vertices that form a given face. Order: the same as colors

  // of the faces in TwistyMinx.

  static final int[][] mCenterMap =

         {

           { 0, 12,  4, 14,  2},

           { 0,  2, 18,  6, 16},

           { 6, 18, 11, 19,  7},

           { 3, 15,  9, 11, 19},

           { 4,  5, 15,  9, 14},

           { 1, 13,  5, 15,  3},

           { 1,  3, 19,  7, 17},

           {10, 16,  6,  7, 17},

           { 0, 12,  8, 10, 16},

           { 8, 13,  5,  4, 12},

           { 1, 13,  8, 10, 17},

           { 2, 14,  9, 11, 18},

         };

  static final float[][] mCenterCoords = new float[NUM_CENTERS][3];

  static

    {

    for(int center=0; center<NUM_CENTERS; center++)

      {

      int[] map = mCenterMap[center];

      float x = CORNERS[map[0]][0] +

                CORNERS[map[1]][0] +

                CORNERS[map[2]][0] +

                CORNERS[map[3]][0] +

                CORNERS[map[4]][0] ;

      float y = CORNERS[map[0]][1] +

                CORNERS[map[1]][1] +

                CORNERS[map[2]][1] +

                CORNERS[map[3]][1] +

                CORNERS[map[4]][1] ;

      float z = CORNERS[map[0]][2] +

                CORNERS[map[1]][2] +

                CORNERS[map[2]][2] +

                CORNERS[map[3]][2] +

                CORNERS[map[4]][2] ;

      mCenterCoords[center][0] = x/5;

      mCenterCoords[center][1] = y/5;

      mCenterCoords[center][2] = z/5;

      }

    }

  static final Static4D[] mBasicCornerV, mCurrCornerV;

  static

    {

    mBasicCornerV = new Static4D[3];

    mCurrCornerV  = new Static4D[3];

    mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );

    mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );

    mBasicCornerV[2] = new Static4D(              0,        -0.500f,    0.0f, 0.0f );

    }