Schrägbild-Projektor (Oblique x-Axis k=1/√2)
Vorlage
Perspektive
Winkel x-Achse:
Schrägbildwinkel Φ=45°, Verkürzung der x-Achse α=54.7°=atand(sqrt(2)), k=1/sqrt(2)
d.h. y3D angetragen auf x-Achse2D : z3D angetragen auf y-Achse2D werden auf der Diagonalen (x-Achse2D) 2 Einheiten der x-Achse3D gezeichnet!
Quader A=(3,2,1) + Schrägbild - fehlende Ecken ermitteln lassen:
Grid={{1, 2, 3, 4}, {2, 6, 8, 3}, {3, 8, 7, 4}, {4, 7, 5, 1}, {1, 2, 6, 5}}
Fig={(3, 2, -1), (3, 5, -1), (1, 5, -1), (1, 2, -1), (3, 2, 1), (3, 5, 1), (1, 2, 1), (1, 5, 1)}
Abgefräsete Kanten Pyramide, Volumen und Schrägbild
Grid={{1, 2, 3, 4}, {5, 6, 13}, {7, 8, 13}, {9, 10, 13}, {11, 12, 13}, {1, 5, 7, 2}, {2, 8, 10, 3}, {3, 9, 11, 4}, {4, 12, 6, 1}}
Fig={(50, -50, 0), (50, 50, 0), (-50, 50, 0), (-50, -50, 0), (25, -25 / 2, 30), (25 / 2, -25, 30), (25, 25 / 2, 30), (25 / 2, 25, 30), (-25, 25 / 2, 30), (-25 / 2, 25, 30), (-25, -25 / 2, 30), (-25 / 2, -25, 30), (0, 0, 120)}
KnickPyramidendach
Grid={{1, 2, 3, 4}, {5, 6, 13}, {7, 8, 13}, {9, 10, 13}, {11, 12, 13}, {1, 5, 7, 2}, {2, 8, 10, 3}, {3, 9, 11, 4}, {4, 12, 6, 1}}
Fig={(50, -50, 0), (50, 50, 0), (-50, 50, 0), (-50, -50, 0), (25, -25 / 2, 30), (25 / 2, -25, 30), (25, 25 / 2, 30), (25 / 2, 25, 30), (-25, 25 / 2, 30), (-25 / 2, 25, 30), (-25, -25 / 2, 30), (-25 / 2, -25, 30), (0, 0, 120)}
V_{Umpyramide}:P_u= Pyramid(Fig(1), Fig(2), Fig(3), Fig(4), Fig(13))
V_{Kantenpyramide}:P_a=Pyramid(Fig(1), Fig(6), Fig(5), Fig(13))
V_{Seitenpyramide}:P_b= Pyramid(Fig(1), Fig(5), Fig(7), Fig(2), Fig(13))
V_{Werkstück}P_u - 4 (P_a + P_b)
TumMitPyramidenDach
Grid={{1, 2, 3, 4}, {2, 3, 7, 6}, {2, 6, 5, 1}, {1, 4, 8, 5}, {3, 4, 8, 7}, {5, 6, 9}, {6, 7, 9}, {7, 8, 9}, {5, 8, 9}}
Fig={(4, 0, 0), (4, 4, 0), (0, 4, 0), (0, 0, 0), (4, 0, 6), (4, 4, 6), (0, 4, 6), (0, 0, 6), (2, 2, 9)}
TurmSchloßTurm
Grid={{2, 3, 7, 8}, {19, 20, 21, 22}, {2, 3, 20, 19}, {1, 2, 12, 11}, {1, 11, 14, 10}, {2, 9, 13, 12}, {11, 12, 23}, {23, 12, 13}, {11, 23, 14}, {3, 6, 18, 15}, {3, 4, 16, 15}, {4, 5, 17, 16}, {15, 16, 24}, {24, 16, 17}, {18, 15, 24}, {7, 8, 22, 21}, {13, 14, 23}, {17, 18, 24}, {5, 6, 18, 17}, {9, 10, 14, 13}}
Fig={(12, -6, 0), (12, 0, 0), (12, 18, 0), (12, 24, 0), (6, 24, 0), (6, 18, 0), (0, 18, 0), (0, 0, 0), (6, 0, 0), (6, -6, 0), (12, -6, 18), (12, 0, 18), (6, 0, 18), (6, -6, 18), (12, 18, 16), (12, 24, 16), (6, 24, 16), (6, 18, 16), (12, 0, 12), (12, 18, 12), (0, 18, 12), (0, 0, 12), (9, -3, 21), (9, 21, 19)}
mit Hand gestrichelte unsichtbaren
