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For questions specific to the Graphics3D command and related 3D graphics functionality.

1 vote
2 answers
979 views

How to draw a cube?

Draw a cube, ABCDA1B1C1D1, with the length of the edge as 1. How to draw this cube and establish a space rectangular coordinate system at the same time. Point A on the bottom is the origin of the coor …
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0 votes

How to find the cosine of dihedral angle on the premise of satisfying the line plane angle?

My own answer, I look forward to better solutions from everyone! In[258]:= BM = t {p - b} // First Out[258]= {-2 t, 0, 2 t} In[259]:= M = BM + b Out[259]= {2 - 2 t, 0, 2 t} In[260]:= b Out[260]= …
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  • 1
2 votes
1 answer
151 views

What objects can be placed in a cube container with a length of 1 meter?

AbsoluteThickness[2], {Red, Line[{{c, d}, {c, c1}, {b, c}}]}}; realLines = {AbsoluteThickness[2], Line[{{a, b}, {a, d}, {d, d1}, {b, b1}, {a1, a}, {b, b1}, {b1, a1}, {b1, c1}, {c1, d1}, {a1, d1}}]}; Show[Graphics3D … [{dashLines, realLines, labels}, Boxed -> False, ViewPoint -> {2, 3.5, 1.28}], Graphics3D[{Arrow[{{c1, c1 + {0, 0, 1}}, {d, d + {1, 0, 0}}, {b, b + {0, 1, 0}}}], Text[Style["z", 20, Italic …
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  • 1
2 votes
2 answers
626 views

How to draw four spheres of equal radius that are tangent to each other pairwise, and additi...

sphere = Sphere[{0, 0, 0}, 1]; Graphics3D[{sphere}] Graphics3D[{sphere}, Boxed -> False, Lighting -> "Neutral", Background -> Black] How to draw four spheres of equal radius that are tangent to each …
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  • 1
1 vote
4 answers
278 views

What is a quick way to draw a regular pyramid?

Clear["`*"] a = {0, 0, 0}; b = {2, 0, 0}; c = {2, 2, 0}; d = {0, 2, 0}; p = {1, 1, Sqrt[2]}; pyramid = Graphics3D[Polyhedron[{{a, b, p}, {b, c, p}, {c, d, p}, {d, a, p}}], Axes -> True, Boxed -> False …
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  • 1
1 vote
1 answer
188 views

How to draw a pyramid according to the requirements?

I am trying to solve the problem step by step, and I welcome your guidance Draw a pyramid with the intersection point of the bottom diamond diagonal as the origin of the spatial coordinate system: Graphics3D
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  • 1
1 vote
1 answer
125 views

How to optimize and add code to complete this Conical Frustum?

[{dashLines, realLines, boundaryLines, labels}], Graphics3D[{Thick, Dashed, Line[{a, p}, VertexColors -> {Blue, Orange}]}], Graphics3D[{Thick, Dashed, Red, Line[{q, p}]}], Graphics3D[{Thick, … Dashed, Red, Line[{a, q}]}], Graphics3D[{Thick, Dashed, Green, Line[{a, c}]}], Graphics3D[{Thick, Dashed, Green, Line[{p, c}]}], cir1, cir2, Boxed -> False, Axes -> False, ViewPoint -> {-0.29, -3.26 …
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  • 1
3 votes
1 answer
161 views

What method is there to translate and transform the coordinate system of a three-dimensional...

}}]}, {Red, Line[{{c, b}, {d, c}}]}, {Purple, Line[{{e, f}}]}, {Black, Line[{{e, a}, {d, e}}]}}; realLines = {AbsoluteThickness[2], Line[{{a, d}, {a, b}, {b, d}, {a, f}, {b, f}}]}; Show[Graphics3D … RegionPlot3D[Polygon[{a, b, d}], MeshFunctions -> {#1 + #2 + #3 &}, PlotStyle -> Opacity[0.2]], RegionPlot3D[Polygon[{a, b, f}], MeshFunctions -> {#1 + #2 + #3 &}, PlotStyle -> Opacity[0.3]], Graphics3D
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  • 1
3 votes
2 answers
124 views

How to optimize the method of drawing a Square Pyramidal Frustum?

{a, d}, {b, d}, {a, c}}]}}; realLines = {AbsoluteThickness[2], Line[{{a, b}, {b, b1}, {a1, a}, {b, b1}, {b1, a1}, {c, c1}, {b1, c1}, {c1, d1}, {b, c}, {a1, c1}, {b1, d1}, {a1, d1}}]}; Show[Graphics3D … [{dashLines, realLines, labels}, Boxed -> False, ViewPoint -> {2, 3.5, 1.28}], Graphics3D[{Arrow[{{o1 - o, o1 - o + {0, 0, 1}}, {a - o, a - o + {1, 0, 0}}, {b - o, b - o + {0, 1, 0}}}], …
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  • 1
1 vote
2 answers
117 views

How to draw the projection of a figure on another plane and find the corresponding circumfer...

{a, c}}]}, {Red, Line[{{c, d}, {c1, c}, {c, b}}]}}; realLines = {AbsoluteThickness[2], Line[{{a, d}, {a, b}, {a1, a}, {b, b1}, {a1, d1}, {a1, b1}, {c1, d1}, {b1, c1}, {d, d1}}]}; Show[Graphics3D … [{dashLines, realLines, labels}, Boxed -> False, ViewPoint -> {2, 3.5, 1.28}], RegionPlot3D[Polygon[{e, f, b1}], MeshFunctions -> {#1 + #2 + #3 &}, Mesh -> 20, PlotStyle -> Cyan], Graphics3D[{ …
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  • 1
2 votes
3 answers
671 views

How can drawing this cone always show code running?

,Black}]; dashLines={Dashed,AbsoluteThickness[2],Line[{{o,p},{a,b},{a,c},{b,c}}]}; realLines={AbsoluteThickness[2],Line[{{a,p},{b,p}}]}; boundaryLines={AbsoluteThickness[2],Line[{{a,p},{b,p}}]}; Show[Graphics3D
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  • 1
0 votes
1 answer
85 views

How to automatically draw the intersection line of two planes in spatial geometry?

, Line[{{a, b}, {a, a1}}]}, {Black, Line[{{b, a1}}]}}; realLines = {AbsoluteThickness[2], Line[{{a1, b1}, {a1, c1}, {b1, c1}, {b, c}, {b, b1}, {c, c1}}], {Red, Line[{{c, b1}}]}}; Show[Graphics3D … [{dashLines, realLines, labels}, Boxed -> False, ViewPoint -> {2, 3, 2}], Graphics3D[{Arrow[{{d, d + {0, 0, 2}}, {b, b + {1, 0, 0}}, {c, c + {0, 1, 0}}}], Text[Style["z", Red, 20, Italic …
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  • 1
-5 votes
1 answer
133 views

How to draw such a spatial geometry and calculate its volume and surface area?

The shape of the spatial geometry is shown in the above figure. Specifically, it is as follows: This is a cup with parallel circular surfaces at the top and bottom, and a portion of a spherical surfa …
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  • 1
0 votes
1 answer
166 views

How to fold a known planar figure into a spatial geometry?

A planar expansion diagram of a tetrahedron ABCD is shown in the above figure, where the quadrilateral AEFD has a diamond with a side length of 2Sqrt 2, B and C are the midpoints of AE and FD, respec …
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  • 1
0 votes
0 answers
57 views

How to draw a dynamic graph where the sum of the internal distances is a constant value?

FontFamily -> "Times"], s, {2, -1}]}; dashLines = {Dashed, AbsoluteThickness[2], {Black, Line[{{a, c}}]}}; realLines = {AbsoluteThickness[2], Line[{{s, a}, {s, c}, {b, s}, {b, a}, {b, c}}]}; Show[Graphics3D … [{dashLines, realLines, labels}, Boxed -> False, ViewPoint -> {2, 3, 2}], Graphics3D[{Arrow[{{s, s + {0, 0, 1}}, {a, a + {2, 0, 0}}, {c, c + {0, 1, 0}}}], Text[Style["z", Red, 20, Italic …
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