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Graphing random points on the XY-plane
How to generate random points in a region?How one can make the boundary of the regionplot smaller or bigger?Put random points into a specific 2D subregionHow to draw the trajectory of a moving particleRandomPoint in geographic region from Polygon[region_]?How to generate a random pulsar graph between two points?Bounded random walkRandom points on the Cuboid, and using FindShortestTourIntersection between knot and planeDisplaying Points and Lines in 3DGraphing a cylinder packing in 3D
$begingroup$
I am trying to generate around 10-20 points on the xy- plane in the domain $[-10,10]times[-10,10]$ (in 3D) and I am having trouble. I want to draw the plane in 3D, graph the random (they do not have to be random but at least nicely dispersed) points, and then graph vertical lines through these points. I found this How to generate random points in a region? and tried to adopt it for a plane in 3D but since i am very new to Mathematica I cannot seem to make it work. I am aware of the RandomPoint command but the problem is i need to describe the region and I do not know how to describe the region of xy-plane. I tried z=0 but I think it only accepts "worded" regions.
Any help would be appreciated.
plotting graphics3d random
edited yesterday
m_goldberg
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I am trying to generate around 10-20 points on the xy- plane in the domain $[-10,10]times[-10,10]$ (in 3D) and I am having trouble. I want to draw the plane in 3D, graph the random (they do not have to be random but at least nicely dispersed) points, and then graph vertical lines through these points. I found this How to generate random points in a region? and tried to adopt it for a plane in 3D but since i am very new to Mathematica I cannot seem to make it work. I am aware of the RandomPoint command but the problem is i need to describe the region and I do not know how to describe the region of xy-plane. I tried z=0 but I think it only accepts "worded" regions.
Any help would be appreciated.
plotting graphics3d random
edited yesterday
m_goldberg
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
If you want to useRandomPoint, there'sImplicitRegion:RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100]will give you 100 points in the specified region. Alternatively, you could also generate points in 2D usingRandomReal[10,{100,2}]and add the z coordinate usingAppend[0]/@pts
$endgroup$
– Lukas Lang
yesterday
add a comment |
$begingroup$
I am trying to generate around 10-20 points on the xy- plane in the domain $[-10,10]times[-10,10]$ (in 3D) and I am having trouble. I want to draw the plane in 3D, graph the random (they do not have to be random but at least nicely dispersed) points, and then graph vertical lines through these points. I found this How to generate random points in a region? and tried to adopt it for a plane in 3D but since i am very new to Mathematica I cannot seem to make it work. I am aware of the RandomPoint command but the problem is i need to describe the region and I do not know how to describe the region of xy-plane. I tried z=0 but I think it only accepts "worded" regions.
Any help would be appreciated.
plotting graphics3d random
edited yesterday
m_goldberg
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am trying to generate around 10-20 points on the xy- plane in the domain $[-10,10]times[-10,10]$ (in 3D) and I am having trouble. I want to draw the plane in 3D, graph the random (they do not have to be random but at least nicely dispersed) points, and then graph vertical lines through these points. I found this How to generate random points in a region? and tried to adopt it for a plane in 3D but since i am very new to Mathematica I cannot seem to make it work. I am aware of the RandomPoint command but the problem is i need to describe the region and I do not know how to describe the region of xy-plane. I tried z=0 but I think it only accepts "worded" regions.
Any help would be appreciated.
plotting graphics3d random
plotting graphics3d random
edited yesterday
m_goldberg
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
m_goldberg
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
m_goldberg
87.4k872198
edited yesterday
m_goldberg
87.4k872198
edited yesterday
m_goldberg
87.4k872198
87.4k872198
asked yesterday
SorfoshSorfosh
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
SorfoshSorfosh
1403
asked yesterday
SorfoshSorfosh
1403
1403
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Sorfosh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
If you want to useRandomPoint, there'sImplicitRegion:RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100]will give you 100 points in the specified region. Alternatively, you could also generate points in 2D usingRandomReal[10,{100,2}]and add the z coordinate usingAppend[0]/@pts
$endgroup$
– Lukas Lang
yesterday
add a comment |
$begingroup$
If you want to useRandomPoint, there'sImplicitRegion:RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100]will give you 100 points in the specified region. Alternatively, you could also generate points in 2D usingRandomReal[10,{100,2}]and add the z coordinate usingAppend[0]/@pts
$endgroup$
– Lukas Lang
yesterday
$begingroup$
If you want to use
RandomPoint, there's ImplicitRegion: RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100] will give you 100 points in the specified region. Alternatively, you could also generate points in 2D using RandomReal[10,{100,2}] and add the z coordinate using Append[0]/@pts$endgroup$
– Lukas Lang
yesterday
$begingroup$
If you want to use
RandomPoint, there's ImplicitRegion: RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100] will give you 100 points in the specified region. Alternatively, you could also generate points in 2D using RandomReal[10,{100,2}] and add the z coordinate using Append[0]/@pts$endgroup$
– Lukas Lang
yesterday
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
You can use RandomPoint with InfinitePlane and draw lines using InfiniteLine:
plane = InfinitePlane[{{0, 0, 0}, {1, 0, 0}, {0, 1, 0}}];
pts = RandomPoint[plane, 20, {{-10, 10}, {-10, 10}, {0, 0}}];
Graphics3D[{plane, Red, InfiniteLine[#, {0, 0, 1}] & /@ pts, Blue,
Sphere[pts, .1]}, PlotRange -> {{-10, 10}, {-10, 10}, {-5, 5}}]
answered yesterday
halmirhalmir
10.3k2543
$endgroup$
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
add a comment |
$begingroup$
Maybe this will work for you.
First define a function for generating $n$ random points on the xy-plane.
pts[n_] := {#1, #2, 0} & @@@ RandomReal[{-10., 10.}, {n, 2}]
Then
SeedRandom[42];
Module[{n = 20, p0} ,
p0 = pts[n];
Graphics3D[
{{AbsolutePointSize[4], Point[p0]},
{Red, Thick, HalfLine[#, {0, 0, 1}] & /@ p0}},
PlotRange -> {{-10, 10}, {-10, 10}, {0, 10}}]]
answered yesterday
m_goldbergm_goldberg
87.4k872198
$endgroup$
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You can use RandomPoint with InfinitePlane and draw lines using InfiniteLine:
plane = InfinitePlane[{{0, 0, 0}, {1, 0, 0}, {0, 1, 0}}];
pts = RandomPoint[plane, 20, {{-10, 10}, {-10, 10}, {0, 0}}];
Graphics3D[{plane, Red, InfiniteLine[#, {0, 0, 1}] & /@ pts, Blue,
Sphere[pts, .1]}, PlotRange -> {{-10, 10}, {-10, 10}, {-5, 5}}]
answered yesterday
halmirhalmir
10.3k2543
$endgroup$
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
add a comment |
$begingroup$
You can use RandomPoint with InfinitePlane and draw lines using InfiniteLine:
plane = InfinitePlane[{{0, 0, 0}, {1, 0, 0}, {0, 1, 0}}];
pts = RandomPoint[plane, 20, {{-10, 10}, {-10, 10}, {0, 0}}];
Graphics3D[{plane, Red, InfiniteLine[#, {0, 0, 1}] & /@ pts, Blue,
Sphere[pts, .1]}, PlotRange -> {{-10, 10}, {-10, 10}, {-5, 5}}]
answered yesterday
halmirhalmir
10.3k2543
$endgroup$
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
add a comment |
$begingroup$
You can use RandomPoint with InfinitePlane and draw lines using InfiniteLine:
plane = InfinitePlane[{{0, 0, 0}, {1, 0, 0}, {0, 1, 0}}];
pts = RandomPoint[plane, 20, {{-10, 10}, {-10, 10}, {0, 0}}];
Graphics3D[{plane, Red, InfiniteLine[#, {0, 0, 1}] & /@ pts, Blue,
Sphere[pts, .1]}, PlotRange -> {{-10, 10}, {-10, 10}, {-5, 5}}]
answered yesterday
halmirhalmir
10.3k2543
$endgroup$
You can use RandomPoint with InfinitePlane and draw lines using InfiniteLine:
plane = InfinitePlane[{{0, 0, 0}, {1, 0, 0}, {0, 1, 0}}];
pts = RandomPoint[plane, 20, {{-10, 10}, {-10, 10}, {0, 0}}];
Graphics3D[{plane, Red, InfiniteLine[#, {0, 0, 1}] & /@ pts, Blue,
Sphere[pts, .1]}, PlotRange -> {{-10, 10}, {-10, 10}, {-5, 5}}]
answered yesterday
halmirhalmir
10.3k2543
edited yesterday
answered yesterday
halmirhalmir
10.3k2543
answered yesterday
halmirhalmir
10.3k2543
answered yesterday
halmirhalmir
10.3k2543
10.3k2543
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
add a comment |
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
$begingroup$
Wow, that is perfect. Now if i wanted to change the direction vector of the line depending on the points, how would i do that? I tried changing ${0,0,1}$ to ${#[[2]], #[[1]], sqrt[#[[2]]^2 + #[[1]]^2]}$ but that didn't work.
$endgroup$
– Sorfosh
yesterday
1
1
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
@Sorfosh it works fine to me. Did you type sqrt instead Sqrt ?
$endgroup$
– halmir
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
$begingroup$
oh... wow. I forgot it is case sensitive. Thank you! :P
$endgroup$
– Sorfosh
yesterday
add a comment |
$begingroup$
Maybe this will work for you.
First define a function for generating $n$ random points on the xy-plane.
pts[n_] := {#1, #2, 0} & @@@ RandomReal[{-10., 10.}, {n, 2}]
Then
SeedRandom[42];
Module[{n = 20, p0} ,
p0 = pts[n];
Graphics3D[
{{AbsolutePointSize[4], Point[p0]},
{Red, Thick, HalfLine[#, {0, 0, 1}] & /@ p0}},
PlotRange -> {{-10, 10}, {-10, 10}, {0, 10}}]]
answered yesterday
m_goldbergm_goldberg
87.4k872198
$endgroup$
add a comment |
$begingroup$
Maybe this will work for you.
First define a function for generating $n$ random points on the xy-plane.
pts[n_] := {#1, #2, 0} & @@@ RandomReal[{-10., 10.}, {n, 2}]
Then
SeedRandom[42];
Module[{n = 20, p0} ,
p0 = pts[n];
Graphics3D[
{{AbsolutePointSize[4], Point[p0]},
{Red, Thick, HalfLine[#, {0, 0, 1}] & /@ p0}},
PlotRange -> {{-10, 10}, {-10, 10}, {0, 10}}]]
answered yesterday
m_goldbergm_goldberg
87.4k872198
$endgroup$
add a comment |
$begingroup$
Maybe this will work for you.
First define a function for generating $n$ random points on the xy-plane.
pts[n_] := {#1, #2, 0} & @@@ RandomReal[{-10., 10.}, {n, 2}]
Then
SeedRandom[42];
Module[{n = 20, p0} ,
p0 = pts[n];
Graphics3D[
{{AbsolutePointSize[4], Point[p0]},
{Red, Thick, HalfLine[#, {0, 0, 1}] & /@ p0}},
PlotRange -> {{-10, 10}, {-10, 10}, {0, 10}}]]
answered yesterday
m_goldbergm_goldberg
87.4k872198
$endgroup$
Maybe this will work for you.
First define a function for generating $n$ random points on the xy-plane.
pts[n_] := {#1, #2, 0} & @@@ RandomReal[{-10., 10.}, {n, 2}]
Then
SeedRandom[42];
Module[{n = 20, p0} ,
p0 = pts[n];
Graphics3D[
{{AbsolutePointSize[4], Point[p0]},
{Red, Thick, HalfLine[#, {0, 0, 1}] & /@ p0}},
PlotRange -> {{-10, 10}, {-10, 10}, {0, 10}}]]
answered yesterday
m_goldbergm_goldberg
87.4k872198
edited yesterday
answered yesterday
m_goldbergm_goldberg
87.4k872198
answered yesterday
m_goldbergm_goldberg
87.4k872198
answered yesterday
m_goldbergm_goldberg
87.4k872198
87.4k872198
add a comment |
add a comment |
Sorfosh is a new contributor. Be nice, and check out our Code of Conduct.
Sorfosh is a new contributor. Be nice, and check out our Code of Conduct.
Sorfosh is a new contributor. Be nice, and check out our Code of Conduct.
Sorfosh is a new contributor. Be nice, and check out our Code of Conduct.
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$begingroup$
If you want to use
RandomPoint, there'sImplicitRegion:RandomPoint[ ImplicitRegion[Abs@x < 10 && Abs@y < 10 && z == 0, {x, y, z}], 100]will give you 100 points in the specified region. Alternatively, you could also generate points in 2D usingRandomReal[10,{100,2}]and add the z coordinate usingAppend[0]/@pts$endgroup$
– Lukas Lang
yesterday