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def O (0,0,0) % orig
def J [0,1,0] % rotation axis
% Wedge with 6 nodes
def wedge1 {
def p0 (2.5,3)
def p1 (2.5,0)
def N 3
def seg_rot rotate(360 / N, [J])
% draw the wedge by rotating a line about the J axis
sweep[fill=black!20] { N<>, [[seg_rot]] }
line[cull=false,fill=blue!20,fill opacity=0.5](p0)(p1)
% define nodal points
def p04 (p0)
def p01 (p1)
def p05 (p0) then [[seg_rot]]
def p03 (p0) then [[seg_rot]]^2
def p02 (p1) then [[seg_rot]]
def p00 (p1) then [[seg_rot]]^2
dots(p00)(p01)(p02)(p03)(p04)(p05)
% label nodal points
special|\fill[black,font=\footnotesize]
#1 node [below] {0}
#2 node [below] {1}
#3 node [below] {2}
#4 node [above] {3}
#5 node [above] {4}
#6 node [above] {5};|
(p00)(p01)(p02)(p03)(p04)(p05)
}
% Wedge with 15 nodes
def wedge2 {
def p0 (2.5,3)
def p1 (2.5,0)
def N 3
def seg_rot rotate(360 / N, [J])
% draw the wedge by rotating a line about the J axis
sweep[fill=black!20] { N<>, [[seg_rot]] }
line[cull=false,fill=blue!20,fill opacity=0.5](p0)(p1)
% define nodal points
def p04 (p0)
def p01 (p1)
def p05 (p0) then [[seg_rot]]
def p03 (p0) then [[seg_rot]]^2
def p02 (p1) then [[seg_rot]]
def p00 (p1) then [[seg_rot]]^2
def mid1 ((p00)-(O)+(p01)-(O))/2+(O)
def mid2 ((p01)-(O)+(p02)-(O))/2+(O)
def mid3 ((p02)-(O)+(p00)-(O))/2+(O)
def mid4 ((p00)-(O)+(p03)-(O))/2+(O)
def mid5 ((p01)-(O)+(p04)-(O))/2+(O)
def mid6 ((p02)-(O)+(p05)-(O))/2+(O)
def mid7 ((p03)-(O)+(p04)-(O))/2+(O)
def mid8 ((p04)-(O)+(p05)-(O))/2+(O)
def mid9 ((p05)-(O)+(p03)-(O))/2+(O)
dots(p00)(p01)(p02)(p03)(p04)(p05)(mid1)(mid2)(mid3)(mid4)(mid5)(mid6)(mid7)(mid8)(mid9)
% label nodal points
special|\fill[black,font=\footnotesize]
#1 node [below] {0}
#2 node [below] {1}
#3 node [below] {2}
#4 node [above] {3}
#5 node [above] {4}
#6 node [above] {5}
#7 node [below] {6}
#8 node [below] {7}
#9 node [above] {8}
#10 node [left] {9}
#11 node [right] {10}
#12 node [right] {11}
#13 node [above] {12}
#14 node [above] {13}
#15 node [above] {14};|
(p00)(p01)(p02)(p03)(p04)(p05)(mid1)(mid2)(mid3)(mid4)(mid5)(mid6)(mid7)(mid8)(mid9)
}
% Wedge with 18 nodes
def wedge3 {
def p0 (2.5,3)
def p1 (2.5,0)
def N 3
def seg_rot rotate(360 / N, [J])
% draw the wedge by rotating a line about the J axis
sweep[fill=black!20] { N<>, [[seg_rot]] }
line[cull=false,fill=blue!20,fill opacity=0.5](p0)(p1)
% define nodal points
def p04 (p0)
def p01 (p1)
def p05 (p0) then [[seg_rot]]
def p03 (p0) then [[seg_rot]]^2
def p02 (p1) then [[seg_rot]]
def p00 (p1) then [[seg_rot]]^2
def mid1 ((p00)-(O)+(p01)-(O))/2+(O)
def mid2 ((p01)-(O)+(p02)-(O))/2+(O)
def mid3 ((p02)-(O)+(p00)-(O))/2+(O)
def mid4 ((p00)-(O)+(p03)-(O))/2+(O)
def mid5 ((p01)-(O)+(p04)-(O))/2+(O)
def mid6 ((p02)-(O)+(p05)-(O))/2+(O)
def mid7 ((p03)-(O)+(p04)-(O))/2+(O)
def mid8 ((p04)-(O)+(p05)-(O))/2+(O)
def mid9 ((p05)-(O)+(p03)-(O))/2+(O)
def mid10 ((p00)-(O)+(p01)-(O)+(p04)-(O)+(p03)-(O))/4+(O)
def mid11 ((p01)-(O)+(p02)-(O)+(p05)-(O)+(p04)-(O))/4+(O)
def mid12 ((p02)-(O)+(p00)-(O)+(p03)-(O)+(p05)-(O))/4+(O)
dots(p00)(p01)(p02)(p03)(p04)(p05)(mid1)(mid2)(mid3)(mid4)(mid5)(mid6)(mid7)(mid8)(mid9)(mid10)(mid11)(mid12)
% label nodal points
special|\fill[black,font=\footnotesize]
#1 node [below] {0}
#2 node [below] {1}
#3 node [below] {2}
#4 node [above] {3}
#5 node [above] {4}
#6 node [above] {5}
#7 node [below] {6}
#8 node [below] {7}
#9 node [above] {8}
#10 node [left] {9}
#11 node [right] {10}
#12 node [right] {11}
#13 node [above] {12}
#14 node [above] {13}
#15 node [above] {14}
#16 node [above] {15}
#17 node [above] {16}
#18 node [below] {17};|
(p00)(p01)(p02)(p03)(p04)(p05)(mid1)(mid2)(mid3)(mid4)(mid5)(mid6)(mid7)(mid8)(mid9)(mid10)(mid11)(mid12)
}
% Wedge edge numbering
def wedge4 {
def p0 (2.5,3)
def p1 (2.5,0)
def N 3
def seg_rot rotate(360 / N, [J])
% draw the wedge by rotating a line about the J axis
sweep[fill=black!20] { N<>, [[seg_rot]] }
line[cull=false,fill=blue!20,fill opacity=0.5](p0)(p1)
def p04 (p0)
def p01 (p1)
def p05 (p0) then [[seg_rot]]
def p03 (p0) then [[seg_rot]]^2
def p02 (p1) then [[seg_rot]]
def p00 (p1) then [[seg_rot]]^2
def mid1 ((p00)-(O)+(p01)-(O))/2+(O)
def mid2 ((p01)-(O)+(p02)-(O))/2+(O)
def mid3 ((p02)-(O)+(p00)-(O))/2+(O)
def mid7 ((p00)-(O)+(p03)-(O))/2+(O)
def mid8 ((p01)-(O)+(p04)-(O))/2+(O)
def mid9 ((p02)-(O)+(p05)-(O))/2+(O)
def mid4 ((p03)-(O)+(p04)-(O))/2+(O)
def mid5 ((p04)-(O)+(p05)-(O))/2+(O)
def mid6 ((p05)-(O)+(p03)-(O))/2+(O)
special|\fill[black,font=\footnotesize]
#1 node [below] {0}
#2 node [below] {1}
#3 node [above] {2}
#4 node [above] {3}
#5 node [above] {4}
#6 node [above] {5}
#7 node [left] {6}
#8 node [right] {7}
#9 node [right] {8};|
(mid1)(mid2)(mid3)(mid4)(mid5)(mid6)(mid7)(mid8)(mid9)
}
% Wedge face numbering
def wedge5 {
def p0 (2.5,3)
def p1 (2.5,0)
def N 3
def seg_rot rotate(360 / N, [J])
% draw the wedge by rotating a line about the J axis
sweep[fill=black!20] { N<>, [[seg_rot]] }
line[cull=false,fill=blue!20,fill opacity=0.5](p0)(p1)
def p04 (p0)
def p01 (p1)
def p05 (p0) then [[seg_rot]]
def p03 (p0) then [[seg_rot]]^2
def p02 (p1) then [[seg_rot]]
def p00 (p1) then [[seg_rot]]^2
def mid1 ((p00)-(O)+(p01)-(O)+(p04)-(O)+(p03)-(O))/4+(O)
def mid2 ((p01)-(O)+(p02)-(O)+(p05)-(O)+(p04)-(O))/4+(O)
def mid3 ((p00)-(O)+(p03)-(O)+(p05)-(O)+(p02)-(O))/4+(O)
def mid4 ((p00)-(O)+(p01)-(O)+(p02)-(O))/3+(O)
def mid5 ((p03)-(O)+(p04)-(O)+(p05)-(O))/3+(O)
special|\fill[black,font=\footnotesize]
#1 node [] {0}
#2 node [] {1}
#3 node [] {2}
#4 node [] {3}
#5 node [] {4};|
(mid1)(mid2)(mid3)(mid4)(mid5)
}
put { view((10,4,2)) } {wedge5}
global { language tikz }
|
