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Plotting octahedron inside the sphere and sphere inside the cube

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4

1

$begingroup$

How to plot an octahedron inside a sphere and the same sphere inside a cube in 3d?

plotting

share|improve this question

asked 18 hours ago

SunitaSunita

2111 bronze badge

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Take a look at PolyhedronData and GeometricTransform. Have you tried anything?
  $endgroup$
  – Kuba♦
  18 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I tried in graphics 3D for the circumsphere of octahedron. But the output is saying octahedron is not a graphic 3d primitive.I did not understand this.
  $endgroup$
  – Sunita
  18 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Hard do say anything without a code sample. Also, make sure you went through examples in documentation I mentioned.
  $endgroup$
  – Kuba♦
  18 hours ago
  

  
  
  
  

add a comment | 

4

1

$begingroup$

How to plot an octahedron inside a sphere and the same sphere inside a cube in 3d?

plotting

share|improve this question

asked 18 hours ago

SunitaSunita

2111 bronze badge

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Take a look at PolyhedronData and GeometricTransform. Have you tried anything?
  $endgroup$
  – Kuba♦
  18 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I tried in graphics 3D for the circumsphere of octahedron. But the output is saying octahedron is not a graphic 3d primitive.I did not understand this.
  $endgroup$
  – Sunita
  18 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Hard do say anything without a code sample. Also, make sure you went through examples in documentation I mentioned.
  $endgroup$
  – Kuba♦
  18 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

How to plot an octahedron inside a sphere and the same sphere inside a cube in 3d?

plotting

share|improve this question

asked 18 hours ago

SunitaSunita

2111 bronze badge

$endgroup$

share|improve this question

asked 18 hours ago

SunitaSunita

2111 bronze badge

share|improve this question

asked 18 hours ago

SunitaSunita

2111 bronze badge

asked 18 hours ago

SunitaSunita

2111 bronze badge

asked 18 hours ago

SunitaSunita

2111 bronze badge

2 Answers
2

active

oldest

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8

$begingroup$

Try

Graphics3D[Opacity[.25], PolyhedronData["Octahedron", "Faces"],Sphere[0, 0, 0, 1/Sqrt[2]],Cuboid[1/Sqrt[2] -1, -1, -1, 1/Sqrt[2] 1, 1, 1]]

share|improve this answer

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  One can use Octahedron as well.
  $endgroup$
  – Chip Hurst
  17 hours ago
  

  
  
  
  

add a comment | 

3

$begingroup$

cs = Circumsphere @ Octahedron[];

cuboid = Cuboid @@ Transpose[RegionBounds[cs]];

Graphics3D[Opacity[0.6, Red], Octahedron[],
 Opacity[.4, Blue], cs, 
 Opacity[.4, Yellow], cuboid]

share|improve this answer

answered 17 hours ago

kglrkglr

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8

$begingroup$

Try

Graphics3D[Opacity[.25], PolyhedronData["Octahedron", "Faces"],Sphere[0, 0, 0, 1/Sqrt[2]],Cuboid[1/Sqrt[2] -1, -1, -1, 1/Sqrt[2] 1, 1, 1]]

share|improve this answer

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  One can use Octahedron as well.
  $endgroup$
  – Chip Hurst
  17 hours ago
  

  
  
  
  

add a comment | 

8

$begingroup$

Try

Graphics3D[Opacity[.25], PolyhedronData["Octahedron", "Faces"],Sphere[0, 0, 0, 1/Sqrt[2]],Cuboid[1/Sqrt[2] -1, -1, -1, 1/Sqrt[2] 1, 1, 1]]

share|improve this answer

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  One can use Octahedron as well.
  $endgroup$
  – Chip Hurst
  17 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

Try

Graphics3D[Opacity[.25], PolyhedronData["Octahedron", "Faces"],Sphere[0, 0, 0, 1/Sqrt[2]],Cuboid[1/Sqrt[2] -1, -1, -1, 1/Sqrt[2] 1, 1, 1]]

share|improve this answer

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

$endgroup$

Graphics3D[Opacity[.25], PolyhedronData["Octahedron", "Faces"],Sphere[0, 0, 0, 1/Sqrt[2]],Cuboid[1/Sqrt[2] -1, -1, -1, 1/Sqrt[2] 1, 1, 1]]

share|improve this answer

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

answered 18 hours ago

Ulrich NeumannUlrich Neumann

13.5k77 silver badges2222 bronze badges

3

$begingroup$

cs = Circumsphere @ Octahedron[];

cuboid = Cuboid @@ Transpose[RegionBounds[cs]];

Graphics3D[Opacity[0.6, Red], Octahedron[],
 Opacity[.4, Blue], cs, 
 Opacity[.4, Yellow], cuboid]

share|improve this answer

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges

$endgroup$

add a comment | 

3

$begingroup$

cs = Circumsphere @ Octahedron[];

cuboid = Cuboid @@ Transpose[RegionBounds[cs]];

Graphics3D[Opacity[0.6, Red], Octahedron[],
 Opacity[.4, Blue], cs, 
 Opacity[.4, Yellow], cuboid]

share|improve this answer

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges

$endgroup$

add a comment | 

$begingroup$

cs = Circumsphere @ Octahedron[];

cuboid = Cuboid @@ Transpose[RegionBounds[cs]];

Graphics3D[Opacity[0.6, Red], Octahedron[],
 Opacity[.4, Blue], cs, 
 Opacity[.4, Yellow], cuboid]

share|improve this answer

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges

$endgroup$

cs = Circumsphere @ Octahedron[];

cuboid = Cuboid @@ Transpose[RegionBounds[cs]];

Graphics3D[Opacity[0.6, Red], Octahedron[],
 Opacity[.4, Blue], cs, 
 Opacity[.4, Yellow], cuboid]

share|improve this answer

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges

answered 17 hours ago

kglrkglr

210k1010 gold badges241241 silver badges482482 bronze badges