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Do[
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ru = Polygon[{p1ru, p2ru, p3ru, p4ru}];
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rd = Polygon[{p1rd, p2rd, p3rd, p4rd}];
LU = basicBird[lu, N[-i]];
RU = basicBird[ru, N[i]];
LD = basicBird[ld, N[i]];
RD = basicBird[rd, N[-i]];
BirdBaseStages = Append[BirdBaseStages,
Graphics3D[Join[{EdgeForm[{RGBColor[.1, .0, .9],
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Boxed -> False,
PlotRange -> All, ViewPoint -> {.0, -1., 1.}]],
{i, .01, Pi-.01, Pi/8 - .01}];
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The essential points for building the beam of the bird.
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(* searching points for beam*)
ugol = N[(Pi/24 -.002) 24];
LU = basicBird[lu, N[-ugol]];
RU = basicBird[ru, N[ugol]];
LD = basicBird[ld, N[ugol]];
RD = basicBird[rd, N[-ugol]];
RU = basicBird[ru, N[ugol]];
M = First[RU];
l = Line[{First[M][[3]], First[M][[1]]}];
m4 = First[Last[c]][[3]];
m3 = First[First[RU]][[1]];
m2 = First[First[RU]][[3]];
m1 = m2 + .18 (m3 - m2);
m0 = First[Last[RU]][[3]];
Pol = {Polygon[{m4, m0, m3, m1, m2}]};
fig1 = Join[{EdgeForm[{RGBColor[.1, .0, .9],
Thickness[.005]}]}, LU, RU, LD, RD, c];
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(*Finding the unmoved part of figurine*)
c6 = LU[[1]][[1]][[1]];
c5 = LU[[3]][[1]][[3]];
c0 = First[Last[c]][[3]];
c2d = LD[[1]][[1]][[3]];
c2 = LU[[3]][[1]][[2]];
cu = LU[[2]][[1]][[3]];
cd = LD[[2]][[1]][[3]];
fig2 = {EdgeForm[{RGBColor[.1, .0, .9],
Thickness[.005]}],
SurfaceColor[RGBColor[1, 1, 1]],
Polygon[{c6, c2, c0}],
SurfaceColor[RGBColor[1, 1, 1]],
Polygon[{c6, c2d, c0}]};
NS = Join[{EdgeForm[{RGBColor[.1, .0, .9],
Thickness[.005]}]}, LD, fig2, LU];
cur = RU[[2]][[1]][[3]];
cdr = RD[[2]][[1]][[3]];
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Pseudoreverse Fold for opening the surfaces
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ReverseStages = {};
Do[boo = Chop[reverseFoldAuxOne[m0, m1, m2, m3, m4, N[fee],
False]];
t = boo[[2,1,3]];
t1 = reflection3[t, Polygon[{m0, m2, m3}]];
joo = Join[NS, {Polygon[{cur, t1, m3}],
Polygon[{cdr, t, m3}],
RGBColor[.2, .0, .8],
Thickness[.005],
Line[{t1, (c6 + cu)/2 + {.0,.0,10^-3}}],
Line[{t, (c6 + cu)/2 - {.0, .0, .1}}]},
boo, Map[reflection3[#,
Polygon[{m0, m2, m3}]]&, boo]];
ReverseStages = Append[ReverseStages,
Graphics3D[Prepend[joo, EdgeForm[
RGBColor[.1, .0, .9]]],
Boxed->False,
PlotRange -> All,
ViewPoint->{1,0,1}]],
{fee, .001, Pi/2 - .001, Pi/12 - .01}];
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Map[Show, ReverseStages];
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