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## Re: Direction of rotation - clockwise or counterclockwise

Forum: Geometry
Re: Direction of rotation - clockwise or counterclockwise (Patrik Eschle)
Re: Re: Direction of rotation - clockwise or counterclockwise (michel maire)
Re: Re: Direction of rotation - clockwise or counterclockwise (Patrik Eschle)
Date: 02 Apr, 2015
From: John Allison <John Allison>

 I can't let this thread pass without comment. I don't think there are two conventions. The schemes within Geant4 and CLHEP are the same and consistent. You comment that in Rotate3D it says, "Function: Create 3D Rotation through angle "a" (counterclockwise)". That is the normal way of viewing things - looking down the axis. Think about it...The normal two-dimensional representation of the x-y plane has the x-axis to the right, the y-axis up. Polar coordinates (r, theta) specify a counter-clockwise rotation theta from the x-axis. In three dimensions, if you are looking at a x-y plane, with the x-axis to the right, the z-axis will be pointing towards you. So a positive rotation will be counter-clockwise. Your picture has the x-axis to the left, so the z-axis points away from you and a positive rotation will appear clockwise, as though you were looking from behind the x-y plane. ```> new G4PVPlacement(transform1, // Rotates clockwise, right hand - ok > fTrdVolume,"Trd", fWorldVolume, false,1); ``` I agree, this is correct for an object rotation - it is clockwise in your upside-down 3D view. ```> new G4PVPlacement(rm,-shiftX, // Rotates ccw - confusing > fTrdVolume,"Trd", fWorldVolume, false,1); ``` The header file clearly says that the transformation is applied to the coordinate system, so it will always have an apparent opposite effect. Personally, like you, I find the former more intuitive. There is no inconsistency in the definition of transformations, just two constructors that do different things - one rotates the object, the other rotates the coordinate system, John

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