Making Eggs by Brian Prentice --

Here is how I made my eggs:

First make an image that you like (image 1).

Next add symmetry by adding a transforation to each layer.  Sylvie
Gallet's Hexagonal Tiling in 'sg' is a good one (image 2).

Then add the 3D mapping transformation from 'fs' to each layer and
select the egg shape. Move the 3D mapping transformation above the
symmetry transformation.  Notice that image 2 is centered at (0, 0).  If
it were not the center coordinates would need to be copied into the 3D
mapping's fractal center coordinates.  You might also adjust the 3D
mapping's fractal magnification.  You will probably need to center the
image (image 3).

Now generate some highlighting (image 4).

Then copy the highlighting layer to image 3 and resize and position to
taste (image 5).

Now you can play with the image in various ways.  I rotated it 45
degrees about the horizontal Y axis (image 6).

I hope this helps you.  Please post an egg when you have generated one
that you like.

All the best.

Brian

image1 {
fractal:
  title="image1" width=320 height=240 author="Brian Prentice"
  created="April 30, 1999" numlayers=2
layer:
  method=linear caption="Layer 2" opacity=75 visible=yes alpha=no
mapping:
  center=0/0 magn=1 angle=0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" transfer=linear repeat=yes
  p_power=2/0 p_bailout=128
gradient:
  smooth=yes numnodes=5 index=10 color=461306 index=169 color=3814493
  index=245 color=1768399 index=347 color=1396536 index=389
color=3417559
layer:
  method=linear caption="Layer 1" visible=yes alpha=no
mapping:
  center=0/0 magn=1 angle=0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="lkm.ucl" entry="conic-sections" transfer=linear repeat=yes
  p_aa=0 p_bb=1 p_cc=0 p_dd=-1 p_ee=0 p_ff=0 p_colorby="minimum
distance"
gradient:
  smooth=yes numnodes=7 index=15 color=4481553 index=79 color=14403783
  index=119 color=5514010 index=170 color=15919057 index=223
color=1063245
  index=306 color=15790033 index=382 color=1710096
}

image2 {
fractal:
  title="image2" width=320 height=240 author="Brian Prentice"
  created="April 30, 1999" numlayers=2
layer:
  method=linear caption="Layer 2" opacity=75 visible=yes alpha=no
mapping:
  center=0/0 magn=1 angle=0 numtransforms=1
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" transfer=linear repeat=yes
  p_power=2/0 p_bailout=128
gradient:
  smooth=yes numnodes=5 index=10 color=461306 index=169 color=3814493
  index=245 color=1768399 index=347 color=1396536 index=389
color=3417559
layer:
  method=linear caption="Layer 1" visible=yes alpha=no
mapping:
  center=0/0 magn=1 angle=0 numtransforms=1
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="lkm.ucl" entry="conic-sections" transfer=linear repeat=yes
  p_aa=0 p_bb=1 p_cc=0 p_dd=-1 p_ee=0 p_ff=0 p_colorby="minimum
distance"
gradient:
  smooth=yes numnodes=7 index=15 color=4481553 index=79 color=14403783
  index=119 color=5514010 index=170 color=15919057 index=223
color=1063245
  index=306 color=15790033 index=382 color=1710096
}

image3 {
fractal:
  title="image3" width=320 height=240 author="Brian Prentice"
  created="April 30, 1999" numlayers=2
layer:
  method=linear caption="Layer 2" opacity=75 visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=0
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" transfer=linear repeat=yes
  p_power=2/0 p_bailout=128
gradient:
  smooth=yes numnodes=5 index=10 color=461306 index=169 color=3814493
  index=245 color=1768399 index=347 color=1396536 index=389
color=3417559
layer:
  method=linear caption="Layer 1" visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=0
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="lkm.ucl" entry="conic-sections" transfer=linear repeat=yes
  p_aa=0 p_bb=1 p_cc=0 p_dd=-1 p_ee=0 p_ff=0 p_colorby="minimum
distance"
gradient:
  smooth=yes numnodes=7 index=15 color=4481553 index=79 color=14403783
  index=119 color=5514010 index=170 color=15919057 index=223
color=1063245
  index=306 color=15790033 index=382 color=1710096
}

image4 {
fractal:
  title="image4" width=320 height=240 author="Brian Prentice"
  created="April 30, 1999" numlayers=1
layer:
  method=linear caption="Layer 1" opacity=62 visible=yes alpha=no
  mergemode=luminance
mapping:
  center=-0.0436182938965608476/0.890073874339581344
  magn=1.09679735681335321 angle=90
formula:
  filename="Standard.ufm" entry="Mandelbrot" maxiter=1 percheck=normal
  p_start=0/0 p_power=2/0 p_bailout=1E20
inside:
  filename="dmj.ucl" entry="dmj-Trap" density=0.75 transfer=linear
  repeat=no p_trapshape="egg" p_trapcolor="distance"
p_traptype="closest"
  p_traporder=3 p_trapfreq=1 p_trapcenter=0/0 p_trapdrift=0/0
  p_traporbit=0/0 p_movetrap=no p_aspect=1 p_threshold=0.25
p_diameter=1.25
  p_angle=0 p_anglestep=0 p_skew=0 p_skewstep=0 p_trapstart=0
  p_trapiter=10000 p_trapskip=0 p_gauss=0 p_gaussr=0 p_gausss=0
  p_gausscenter=0/0 p_radialmode="kaleidoscope"
outside:
  filename="dmj.ucl" entry="dmj-Lyapunov" transfer=linear repeat=yes
  p_trackvariable="imaginary part of z" p_negative="absolute value"
gradient:
  smooth=no numnodes=3 index=147 color=0 index=148 color=16777215
index=348
  color=0
}

image5 {
fractal:
  title="image5" width=320 height=240 author="Brian Prentice"
  created="January 2, 1999" numlayers=3
layer:
  method=linear caption="Layer 3" opacity=62 visible=yes alpha=no
  mergemode=luminance
mapping:
  center=-0.0436182938965608476/0.890073874339581344
  magn=1.09679735681335321 angle=90
formula:
  filename="Standard.ufm" entry="Mandelbrot" maxiter=1 percheck=normal
  p_start=0/0 p_power=2/0 p_bailout=1E20
inside:
  filename="dmj.ucl" entry="dmj-Trap" density=0.75 transfer=linear
  repeat=no p_trapshape="egg" p_trapcolor="distance"
p_traptype="closest"
  p_traporder=3 p_trapfreq=1 p_trapcenter=0/0 p_trapdrift=0/0
  p_traporbit=0/0 p_movetrap=no p_aspect=1 p_threshold=0.25
p_diameter=1.25
  p_angle=0 p_anglestep=0 p_skew=0 p_skewstep=0 p_trapstart=0
  p_trapiter=10000 p_trapskip=0 p_gauss=0 p_gaussr=0 p_gausss=0
  p_gausscenter=0/0 p_radialmode="kaleidoscope"
outside:
  filename="dmj.ucl" entry="dmj-Lyapunov" transfer=linear repeat=yes
  p_trackvariable="imaginary part of z" p_negative="absolute value"
gradient:
  smooth=no numnodes=3 index=147 color=0 index=148 color=16777215
index=348
  color=0
layer:
  method=linear caption="Layer 2" opacity=75 visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=0
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" transfer=linear repeat=yes
  p_power=2/0 p_bailout=128
gradient:
  smooth=yes numnodes=5 index=10 color=461306 index=169 color=3814493
  index=245 color=1768399 index=347 color=1396536 index=389
color=3417559
layer:
  method=linear caption="Layer 1" visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=0
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="lkm.ucl" entry="conic-sections" transfer=linear repeat=yes
  p_aa=0 p_bb=1 p_cc=0 p_dd=-1 p_ee=0 p_ff=0 p_colorby="minimum
distance"
gradient:
  smooth=yes numnodes=7 index=15 color=4481553 index=79 color=14403783
  index=119 color=5514010 index=170 color=15919057 index=223
color=1063245
  index=306 color=15790033 index=382 color=1710096
}

image6 {
fractal:
  title="image6" width=320 height=240 author="Brian Prentice"
  created="April 30, 1999" numlayers=3
layer:
  method=linear caption="Layer 3" opacity=62 visible=yes alpha=no
  mergemode=luminance
mapping:
  center=-0.0436182938965608476/0.890073874339581344
  magn=1.09679735681335321 angle=90
formula:
  filename="Standard.ufm" entry="Mandelbrot" maxiter=1 percheck=normal
  p_start=0/0 p_power=2/0 p_bailout=1E20
inside:
  filename="dmj.ucl" entry="dmj-Trap" density=0.75 transfer=linear
  repeat=no p_trapshape="egg" p_trapcolor="distance"
p_traptype="closest"
  p_traporder=3 p_trapfreq=1 p_trapcenter=0/0 p_trapdrift=0/0
  p_traporbit=0/0 p_movetrap=no p_aspect=1 p_threshold=0.25
p_diameter=1.25
  p_angle=0 p_anglestep=0 p_skew=0 p_skewstep=0 p_trapstart=0
  p_trapiter=10000 p_trapskip=0 p_gauss=0 p_gaussr=0 p_gausss=0
  p_gausscenter=0/0 p_radialmode="kaleidoscope"
outside:
  filename="dmj.ucl" entry="dmj-Lyapunov" transfer=linear repeat=yes
  p_trackvariable="imaginary part of z" p_negative="absolute value"
gradient:
  smooth=no numnodes=3 index=147 color=0 index=148 color=16777215
index=348
  color=0
layer:
  method=linear caption="Layer 2" opacity=75 visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=45
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" transfer=linear repeat=yes
  p_power=2/0 p_bailout=128
gradient:
  smooth=yes numnodes=5 index=10 color=461306 index=169 color=3814493
  index=245 color=1768399 index=347 color=1396536 index=389
color=3417559
layer:
  method=linear caption="Layer 1" visible=yes alpha=no
mapping:
  center=0.0375/-0.9 magn=1 angle=90 numtransforms=2
transform:
  filename="fs.uxf" entry="fs-3d-map" p_shape="Egg" p_rotx=0 p_roty=45
  p_rotz=0 p_transx=0 p_transy=-0.5 p_transz=2 p_fraccenter=0/0
  p_fracmagn=1 p_fracangle=0
transform:
  filename="sg.uxf" entry="Hexagonal_tiling" p_mode="hexagonal tiling"
  p_tw=1 p_center=0/0
formula:
  filename="lkm.ufm" entry="z^n+1=0-newton" maxiter=1000 percheck=off
  p_nexp=4 p_bailout=100
inside:
  transfer=none repeat=yes
outside:
  filename="lkm.ucl" entry="conic-sections" transfer=linear repeat=yes
  p_aa=0 p_bb=1 p_cc=0 p_dd=-1 p_ee=0 p_ff=0 p_colorby="minimum
distance"
gradient:
  smooth=yes numnodes=7 index=15 color=4481553 index=79 color=14403783
  index=119 color=5514010 index=170 color=15919057 index=223
color=1063245
  index=306 color=15790033 index=382 color=1710096
}