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Create plane using 3 nodes

tarup chordia

I am trying to create a plane through macro using 3 nodes. for that i want to use following command/syntax -

*createplane plane id normal x normal y normal z base x base y base z

can anyone help how to find out normal X normal y normal z required to define plane?

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Yuvi (Yuvraj Kumar)_22322

Inputs

plane id: The ID of the plane being defined (1 or 2).
normal x: The x component of the normal of the plane.
normal y: The y component of the normal of the plane.
normal z: The z component of the normal of the plane.
base x: The x component of the base point of the plane.
base y: The y component of the base point of the plane.
base z: The z component of the base point of the plane.

Eg.

To create plane 1 with a normal along the x axis and a base point of (2.0, 3.0, 4.0):

*createplane(1,1.0,0.0,0.0,2.0,3.0,4.0)

tarup chordia

Inputs

plane id

The ID of the plane being defined (1 or 2).

normal x

The x component of the normal of the plane.

normal y

The y component of the normal of the plane.

normal z

The z component of the normal of the plane.

base x

The x component of the base point of the plane.

base y

The y component of the base point of the plane.

base z

The z component of the base point of the plane.

Eg.

To create plane 1 with a normal along the x axis and a base point of (2.0, 3.0, 4.0):
*createplane(1,1.0,0.0,0.0,2.0,3.0,4.0)

Thanks Yuvi for the answer.

Do you know any method to calculate the normal X, Y & Z of the plane, if the plane normal is not along the any standard axis?

tinh

Hi,

mathematically, you can use vector operations to calculate normal of plane that passing through 3 nodes

like this:

from N1 -> N2: calculate v12

from N2 -> N3: calculate v23

calculate normal = v12 x v23 (cross product)

example:

proc getPlaneNormal args { 	set args [join $args] 	lassign $args nodeId1 nodeId2 nodeId3 	lassign [hm_getdistance nodes $nodeId1 $nodeId2 0] -> nx ny nz 	if {[llength $args]==3} { 		lassign [hm_getdistance nodes $nodeId2 $nodeId3 0] -> vx vy vz 		lassign [list [expr {$ny*$vz - $vy*$nz}] [expr {$nz*$vx - $vz*$nx}] [expr {$nx*$vy - $vx*$ny}]] nx ny nz 	} 	set mag 0 	foreach c [list $nx $ny $nz] {set mag [expr {hypot($mag,$c)}]} 	if {!$mag} {return {0. 0. 0.}} 	list [expr {$nx/$mag}] [expr {$ny/$mag}] [expr {$nz/$mag}] }  #apply: *createlistpanel nodes 1 "Pick 2 or 3 nodes defining plane:" set nodeList [hm_getlist nodes 1] set planeNormal [getPlaneNormal $nodeList] lassign $planeNormal normalx normaly normalz lassign [join [hm_nodevalue [lindex $nodeList 0]]] basex basey basez *createplane 1 $normalx $normaly $normalz $basex $basey $basez

you can use:

getPlaneNormal $n1 $n2 $n3

In case you want to pick n1, n2, n3

use hm_getplanepanel:

set planeDef {*}[hm_getplanepanel] lassign $planeDef planeNormal planeBase lassign $planeNormal normalx normaly normalz lassign $planeBase basex basey basez *createplane 1 $normalx $normaly $normalz $basex $basey $basez

tarup chordia

Hi,

mathematically, you can use vector operations to calculate normal of plane that passing through 3 nodes

like this:

from N1 -> N2: calculate v12

from N2 -> N3: calculate v23

calculate normal = v12 x v23 (cross product)

example:

proc getPlaneNormal args { 	set args [join $args] 	lassign $args nodeId1 nodeId2 nodeId3 	lassign [hm_getdistance nodes $nodeId1 $nodeId2 0] -> nx ny nz 	if {[llength $args]==3} { 		lassign [hm_getdistance nodes $nodeId2 $nodeId3 0] -> vx vy vz 		lassign [list [expr {$ny*$vz - $vy*$nz}] [expr {$nz*$vx - $vz*$nx}] [expr {$nx*$vy - $vx*$ny}]] nx ny nz 	} 	set mag 0 	foreach c [list $nx $ny $nz] {set mag [expr {hypot($mag,$c)}]} 	if {!$mag} {return {0. 0. 0.}} 	list [expr {$nx/$mag}] [expr {$ny/$mag}] [expr {$nz/$mag}] }  #apply: *createlistpanel nodes 1 "Pick 2 or 3 nodes defining plane:" set nodeList [hm_getlist nodes 1] set planeNormal [getPlaneNormal $nodeList] lassign $planeNormal normalx normaly normalz lassign [join [hm_nodevalue [lindex $nodeList 0]]] basex basey basez *createplane 1 $normalx $normaly $normalz $basex $basey $basez

you can use:

getPlaneNormal $n1 $n2 $n3

In case you want to pick n1, n2, n3

use hm_getplanepanel:

set planeDef {*}[hm_getplanepanel] lassign $planeDef planeNormal planeBase lassign $planeNormal normalx normaly normalz lassign $planeBase basex basey basez *createplane 1 $normalx $normaly $normalz $basex $basey $basez

Thanks. Working perfectly.