define a general tetrahedron - Maple Help

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geom3d[gtetrahedron] - define a general tetrahedron

Calling Sequence

gtetrahedron(T, gv)

Parameters

T

-

name; tetrahedron

gv

-

list; four points or planes that define a tetrahedron

Description

• 

The gtetrahedron(T,gv) function defines a tetrahedron from the four vertices or planes gv.

• 

For more details on the tetrahedron T, use geom3d[detail].

• 

The command with(geom3d,gtetrahedron) allows the use of the abbreviated form of this command.

Examples

withgeom3d:

pointA,0,0,0,pointB,1,0,0,pointC,0,0,1,pointF,0,1,0:

gtetrahedronT1,A,B,C,F

T1

(1)

detailT1

name of the objectT1form of the objectgtetrahedron3dthe 4 vertices0,0,0,1,0,0,0,0,1,0,1,0the 4 faces0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0

(2)

volumeT1

16

(3)

_EnvXName:='x':_EnvYName:='y':_EnvZName:='z':

planep1,x+y+z=1,planep2,x=0,planep3,y=0,planep4,z=0:

gtetrahedronT2,p1,p2,p3,p4

T2

(4)

detailT2

name of the objectT2form of the objectgtetrahedron3dthe 4 vertices0,0,1,0,1,0,1,0,0,0,0,0the 4 faces0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0

(5)

See Also

geom3d[detail], geom3d[line], geom3d[plane], geom3d[point]


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