lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular...

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Transcript of lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular...

Page 1: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 2: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 3: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 4: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 5: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 6: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 7: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 8: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 9: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 10: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 11: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 12: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 13: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 14: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 15: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 16: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 17: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 18: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 19: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 20: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 21: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 22: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 23: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 24: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 25: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 26: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 27: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 28: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 29: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 30: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 31: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 32: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 33: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 34: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 35: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 36: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 37: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 38: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 39: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 40: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 41: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 42: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 43: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 44: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 45: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 46: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 47: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 48: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 49: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 50: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 51: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 52: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 53: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 54: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 55: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 56: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 57: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 58: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 59: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 60: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 61: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 62: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 63: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 64: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 65: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 66: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 67: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 68: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 69: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 70: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 71: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 72: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 73: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 74: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 75: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 76: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 77: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 78: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 79: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 80: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 81: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 82: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 83: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 84: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 85: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 86: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 87: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 88: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 89: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 90: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 91: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 92: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 93: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 94: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 95: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 96: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 97: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 98: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 99: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 100: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 101: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 102: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 103: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 104: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 105: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 106: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 107: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 108: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 109: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 110: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 111: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 112: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 113: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 114: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 115: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 116: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 117: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 118: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 119: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 120: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For

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