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$begingroup$

I have a convex tilted hexagonal figure (6 corners) in 3-D space (imagine a tilted hexagon floating in a cube). I acquire this object by applying a projection $Q$ onto a cuboid. So a point of the hexagonal object is $X in mathcalhatX$ where $mathcalhatX = QX $.

I want to rotate this 2-D object so that its parallel to one of the sides of a cube i.e. I want it to be standing straight in 3d space as opposed to be tilted. I think I need to find a matrix $R$ that I can left multiply with $Q$ to accomplish this but I don't know how to construct it. How should I do this?

linear-algebra linear-transformations rotations reflection

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asked Mar 17 at 22:56

user52932user52932

55114

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add a comment | 

0

$begingroup$

I have a convex tilted hexagonal figure (6 corners) in 3-D space (imagine a tilted hexagon floating in a cube). I acquire this object by applying a projection $Q$ onto a cuboid. So a point of the hexagonal object is $X in mathcalhatX$ where $mathcalhatX = QX $.

I want to rotate this 2-D object so that its parallel to one of the sides of a cube i.e. I want it to be standing straight in 3d space as opposed to be tilted. I think I need to find a matrix $R$ that I can left multiply with $Q$ to accomplish this but I don't know how to construct it. How should I do this?

linear-algebra linear-transformations rotations reflection

share|cite|improve this question

asked Mar 17 at 22:56

user52932user52932

55114

$endgroup$

add a comment | 

$begingroup$

I have a convex tilted hexagonal figure (6 corners) in 3-D space (imagine a tilted hexagon floating in a cube). I acquire this object by applying a projection $Q$ onto a cuboid. So a point of the hexagonal object is $X in mathcalhatX$ where $mathcalhatX = QX $.

I want to rotate this 2-D object so that its parallel to one of the sides of a cube i.e. I want it to be standing straight in 3d space as opposed to be tilted. I think I need to find a matrix $R$ that I can left multiply with $Q$ to accomplish this but I don't know how to construct it. How should I do this?

linear-algebra linear-transformations rotations reflection

share|cite|improve this question

asked Mar 17 at 22:56

user52932user52932

55114

$endgroup$

share|cite|improve this question

asked Mar 17 at 22:56

user52932user52932

55114

share|cite|improve this question

asked Mar 17 at 22:56

user52932user52932

55114

asked Mar 17 at 22:56

user52932user52932

55114

asked Mar 17 at 22:56

user52932user52932

55114