數學實驗  930245  吳是賢

 

1.簡單操作

2.torus

3.patternontorus

4.patternontorus2

5.twisted prismatic ring

6.Construct one-half of a torus as thus

7.Construct a torus

8.Construct one-half of a torus consisting of two linking circles by rotating the circle about the z-axis by p1

9.Construct one-half of a torus consisting of two linking circles by rotating the circle about the z-axis by p

10.Monkey's Saddle

11.surface

12.surface2

13.Wrap the graph of y = sin 2x around a cylinder

14.Construct one-half of a torus as thus1

15.Construct a sphere1

16.Constructa sphere2

17.Constuct a wedge as thus

18.pattern

19.beachball

20.six congruent pieces

21.ρ = sin φ sin 2φ

22.圓柱體

23.Surface of revolution: rotating z = cos x + 2 about the x-axis

24.Surface of revolution: rotating z = cos x + 2 about the z-axis

25.A Knot Based on [cos 3t, sin 4t, sin 5t]

26.Torus and knot

27.wedge(動畫)

28.seaball(動畫)

29.Ruled surface with spiral boundary(動畫)

30.intersection of the cylinder

31.intersection of the cylinder2

32.n circle cross

33.Four mutually tangent circles of the same size

34.Four mutually tangent circles of the same size on the sphere

35.Three Cylinders Having One Point in Common for Each Pair

 

Construct an animation displaying the various positions of the osculating circle of the following: the nephroid, the astroid, the deltoid and the cardioid.

42.(a) 半徑作簡諧的圓 (b) an animation displaying various ellipses tangent to the astroid.(做法)

36.a(動畫)

37.b(動畫)

43.(c) 半徑與星形內部相切邊與橢圓相切的圓(做法)

38.c(動畫)

44.(d)cardioid(做法)

39.d(動畫)

45.(e) nephroid(做法)

40.e(動畫)

46.(f) astroid(做法)

41.f(動畫)

 

47.馬鞍

48.馬鞍(動畫)

49.wave(動畫)

50.circle

51.wave

52.圓柱

53.雙拋物面

54.cube

55.cube(動畫)

56.cuboctahedron

57.cuboctahedron(動畫)

58.HexakisIcosahedron

59.HexakisIcosahedron(動畫)

60.HexakisOctahedron

61.HexakisOctahedron(動畫)

62.icosidodecahedron

63.icosidodecahedron(動畫)

64.octahedron

65octahedron(動畫)

66.PentagonalHexacontahedron

67.PentagonalHexacontahedron(動畫)

68.PentagonalIcositetrahedron

69.PentagonalIcositetrahedron(動畫)

70.PentakisDodecahedron

71.PentakisDodecahedron(動畫)

72.SmallRhombicuboctahedron

73.SmallRhombicuboctahedron(動畫)

74.SnubDodecahedron

75.SnubDodecahedron(動畫)

76.TrapezoidalHexecontahedron

77.TrapezoidalHexecontahedron(動畫)

78.TrapezoidalIcositetrahedron

79.TrapezoidalIcositetrahedron(動畫)

80.TriakisOctahedron

81.TriakisOctahedron(動畫)

82.TruncatedCuboctahedron

83.TruncatedCuboctahedron(動畫)

84.TruncatedHexahedron

85.TruncatedHexahedron(動畫)

86.TruncatedIcosahedron

87.TruncatedIcosahedron(動畫)

88.TruncatedIcosidodecahedron

89.TruncatedIcosidodecahedron(動畫)

90.TruncatedOctahedron

91.TruncatedOctahedron(動畫)

92.TruncatedTetrahedron

93.TruncatedTetrahedron(動畫)