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EJBayl — Popcorned 3b

#popcorn #redux #ultrafractal #octoberchallenge
Published: 2021-10-26 06:50:25 +0000 UTC; Views: 1871; Favourites: 20; Downloads: 5
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Description Another entry for the UltraFractal Redux October Challenge. In addition to the PopcornJulia-based Kaleidobrot mapping, on this occasion Hyperbolic Tiling has also been used, as well as spherical 3D Projection for the central element. Apart from the circular fractal boundary nothing else is symmetrical. The parameters are attached.

Popcorned3b {
fractal:
 title="Popcorned 3b" width=1280 height=960 layers=8
 credits="Evan Bayliss;10/25/2021"
layer:
 caption="Layer 7" opacity=100 mergemode=screen
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=5
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=None p_center=0/0 p_rot=0.0 p_magn=1.0 p_corrmap=no
 p_niter=1000
transform:
 filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere p_rotx=0.0
 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5 p_transz=2.0
 p_fraccenter=-0.0156370335/-0.0316609465 p_fracmagn=0.3362165
 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1/0 p_p4=1/0 p_p6=0.75/0 p_p7=1/0 p_p8=1/0 p_p10=1/0
 p_p9=1/0 f_fn1=ident f_fn2=flip f_fn3=atanh f_fn4=ident f_fn5=ident
 f_fn6=sinh p_p11=1/0 p_p12=0/0 p_p13=1/0 p_p14=0/0 p_p15=1/0
 p_p16=0/0 p_p17=1/0 p_p18=0/0 p_p5=-0.05/0 p_p21=0/0 p_bt=Convergent
 p_bailcon=0.00000001 p_baildiv=1e18
inside:
 transfer=none
outside:
 transfer=cuberoot filename="ejb.ucl"
 entry="Smooth(OUTSIDE)EBver10witherror" p_bailout=128.0 p_choice=0/0
 p_power=2/0 f_final1=log p_initer1=1 p_initer2=0 p_numiter=1
 f_final2=log
gradient:
 smooth=yes rotation=-113 index=30 color=10946560 index=82
 color=16777215 index=91 color=14143439 index=137 color=786432
 index=176 color=16512961 index=181 color=16777161 index=187
 color=15722428 index=192 color=15125957 index=196 color=14406611
 index=197 color=13090751 index=238 color=2752461 index=279
 color=16777215 index=282 color=16316921 index=306 color=13703617
 index=317 color=9045164 index=332 color=6815928 index=345
 color=6555857 index=-42 color=9611946 index=-37 color=14081791
 index=-33 color=16761343 index=-29 color=15975363 index=-19
 color=16777215
opacity:
 smooth=no index=0 opacity=255
layer:
 caption="Layer 6" opacity=100 mergemode=screen
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=5
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=None p_center=0/0 p_rot=0.0 p_magn=1.0 p_corrmap=no
 p_niter=1000
transform:
 filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere p_rotx=0.0
 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5 p_transz=2.0
 p_fraccenter=-0.0156370335/-0.0316609465 p_fracmagn=0.3362165
 p_fracangle=0
transform:
 enabled=no filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1/0 p_p4=1/0 p_p6=0.75/0 p_p7=1/0 p_p8=1/0 p_p10=1/0
 p_p9=1/0 f_fn1=ident f_fn2=flip f_fn3=atanh f_fn4=ident f_fn5=ident
 f_fn6=sinh p_p11=1/0 p_p12=0/0 p_p13=1/0 p_p14=0/0 p_p15=1/0
 p_p16=0/0 p_p17=1/0 p_p18=0/0 p_p5=-0.05/0 p_p21=0/0 p_bt=Convergent
 p_bailcon=0.00000001 p_baildiv=1e18
inside:
 transfer=none
outside:
 transfer=cuberoot filename="ejb.ucl"
 entry="Smooth(OUTSIDE)EBver10witherror" p_bailout=128.0 p_choice=0/0
 p_power=2/0 f_final1=log p_initer1=1 p_initer2=0 p_numiter=1
 f_final2=log
gradient:
 smooth=yes rotation=7 index=809 color=16777215 index=606 color=0
 index=207 color=0 index=607 color=0
opacity:
 smooth=no index=0 opacity=255
layer:
 caption="Layer 5" opacity=100 mergemode=difference transparent=yes
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 enabled=no filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere
 p_rotx=0.0 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5
 p_transz=2.0 p_fraccenter=-0.0156370335/-0.0316609465
 p_fracmagn=0.3362165 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1.064095/-0.019964 p_p4=0.948514/0.007355 p_p6=0.75/0
 p_p7=1/0 p_p8=3/0 p_p10=1/0 p_p9=1/0 f_fn1=ident f_fn2=ident
 f_fn3=ident f_fn4=ident f_fn5=ident f_fn6=ident p_p11=1/0 p_p12=0/0
 p_p13=1/0 p_p14=0/0 p_p15=1/0 p_p16=0/0 p_p17=1/0 p_p18=0/0
 p_p5=-0.05/0 p_p21=0/0 p_btivergent p_bailcon=0.00000001
 p_baildiv=1e18
inside:
 transfer=none solid=0
outside:
 transfer=exp filename="Standard.ucl" entry="Smooth" p_power=2/0
 p_bailout=128.0
gradient:
 comments="Ink Wash Gradient - Multi Hue" linked=yes smooth=yes
 rotation=-185 index=-373 color=10793646 index=-571 color=2769985
 index=-164 color=3821646 index=-140 color=2649691 index=-130
 color=2920051 index=-115 color=3065507 index=-103 color=3262929
 index=-498 color=3988168 index=-91 color=5167842 index=-76
 color=5099963 index=-56 color=3709622 index=-417 color=9039330
opacity:
 smooth=yes rotation=-185 index=-373 opacity=0 index=-571 opacity=0
 index=-164 opacity=0 index=-140 opacity=0 index=-130 opacity=67
 index=-115 opacity=86 index=-103 opacity=143 index=-498 opacity=234
 index=-91 opacity=254 index=-76 opacity=240 index=-56 opacity=114
 index=-417 opacity=51
layer:
 caption="Layer 4" opacity=100 mergemode=lighten transparent=yes
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 enabled=no filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere
 p_rotx=0.0 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5
 p_transz=2.0 p_fraccenter=-0.0156370335/-0.0316609465
 p_fracmagn=0.3362165 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1.064095/-0.019964 p_p4=0.948514/0.007355 p_p6=0.75/0
 p_p7=1/0 p_p8=3/0 p_p10=1/0 p_p9=1/0 f_fn1=ident f_fn2=ident
 f_fn3=ident f_fn4=ident f_fn5=ident f_fn6=ident p_p11=1/0 p_p12=0/0
 p_p13=1/0 p_p14=0/0 p_p15=1/0 p_p16=0/0 p_p17=1/0 p_p18=0/0
 p_p5=-0.05/0 p_p21=0/0 p_btivergent p_bailcon=0.00000001
 p_baildiv=1e18
inside:
 transfer=none solid=0
outside:
 transfer=exp filename="Standard.ucl" entry="Smooth" p_power=2/0
 p_bailout=128.0
gradient:
 comments="Ink Wash Gradient - Multi Hue" linked=yes smooth=yes
 rotation=189 index=1 color=6184542 index=210 color=0 index=-190
 color=0 index=229 color=0 index=239 color=1249037 index=259
 color=3942174 index=265 color=4536099 index=-129 color=5650982
 index=283 color=7033131 index=298 color=5586223 index=320
 color=3419936 index=-36 color=10446141
opacity:
 smooth=yes rotation=189 index=1 opacity=0 index=210 opacity=0
 index=-190 opacity=255 index=229 opacity=252 index=239 opacity=248
 index=259 opacity=255 index=265 opacity=255 index=-129 opacity=255
 index=283 opacity=254 index=298 opacity=240 index=320 opacity=204
 index=-36 opacity=107
layer:
 caption="Layer 3" opacity=100 mergemode=difference transparent=yes
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 enabled=no filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere
 p_rotx=0.0 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5
 p_transz=2.0 p_fraccenter=-0.0156370335/-0.0316609465
 p_fracmagn=0.3362165 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1.064095/-0.019964 p_p4=0.948514/0.007355 p_p6=0.75/0
 p_p7=1/0 p_p8=3/0 p_p10=1/0 p_p9=1/0 f_fn1=ident f_fn2=ident
 f_fn3=ident f_fn4=ident f_fn5=ident f_fn6=ident p_p11=1/0 p_p12=0/0
 p_p13=1/0 p_p14=0/0 p_p15=1/0 p_p16=0/0 p_p17=1/0 p_p18=0/0
 p_p5=-0.05/0 p_p21=0/0 p_btivergent p_bailcon=0.00000001
 p_baildiv=1e18
inside:
 transfer=none solid=0
outside:
 transfer=exp filename="Standard.ucl" entry="Smooth" p_power=2/0
 p_bailout=128.0
gradient:
 smooth=no rotation=-33 index=5 color=790077 index=59 color=16383743
 index=105 color=790077 index=158 color=14023423 index=-193
 color=794172 index=-145 color=10809343 index=-94 color=794684
 index=-45 color=13563903
opacity:
 smooth=no index=0 opacity=255
layer:
 caption="Layer 2" opacity=100 mergemode=overlay transparent=yes
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere p_rotx=0.0
 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5 p_transz=2.0
 p_fraccenter=-0.0156370335/-0.0316609465 p_fracmagn=0.3362165
 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1.064095/-0.019964 p_p4=0.948514/0.007355 p_p6=0.75/0
 p_p7=1/0 p_p8=3/0 p_p10=1/0 p_p9=1/0 f_fn1=ident f_fn2=ident
 f_fn3=ident f_fn4=ident f_fn5=ident f_fn6=ident p_p11=1/0 p_p12=0/0
 p_p13=1/0 p_p14=0/0 p_p15=1/0 p_p16=0/0 p_p17=1/0 p_p18=0/0
 p_p5=-0.05/0 p_p21=0/0 p_btivergent p_bailcon=0.00000001
 p_baildiv=1e18
inside:
 transfer=none solid=0
outside:
 transfer=sin filename="Standard.ucl" entry="Smooth" p_power=2/0
 p_bailout=128.0
gradient:
 smooth=no rotation=82 index=416 color=7319492 index=442
 color=4757681 index=115 color=4691888 index=183 color=7450821
 index=261 color=11655653 index=323 color=15268863 index=376
 color=11721445
opacity:
 smooth=no rotation=-35 index=0 opacity=255 index=71 opacity=255
 index=150 opacity=255 index=222 opacity=255 index=302 opacity=255
 index=-4 opacity=255
layer:
 caption="Layer 1" opacity=100 mergemode=darken transparent=yes
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere p_rotx=0.0
 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5 p_transz=2.0
 p_fraccenter=-0.0156370335/-0.0316609465 p_fracmagn=0.3362165
 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1.064095/-0.019964 p_p4=0.948514/0.007355 p_p6=0.75/0
 p_p7=1/0 p_p8=3/0 p_p10=1/0 p_p9=1/0 f_fn1=ident f_fn2=ident
 f_fn3=ident f_fn4=ident f_fn5=ident f_fn6=ident p_p11=1/0 p_p12=0/0
 p_p13=1/0 p_p14=0/0 p_p15=1/0 p_p16=0/0 p_p17=1/0 p_p18=0/0
 p_p5=-0.05/0 p_p21=0/0 p_btivergent p_bailcon=0.00000001
 p_baildiv=1e18
inside:
 transfer=none solid=0
outside:
 transfer=sin filename="Standard.ucl" entry="Smooth" p_power=2/0
 p_bailout=128.0
gradient:
 smooth=yes rotation=-46 index=553 color=0 index=154 color=0
 index=554 color=0 index=756 color=16777215
opacity:
 smooth=no index=0 opacity=255
layer:
 caption="Background" opacity=100
mapping:
 center=-0.0302421/0.038573246 magn=1.2969301 transforms=4
transform:
 filename="sam.uxf" entry="HyperbolicTilings" p_mode=Mapping p_n=3
 p_k=7 p_sym=Mirror+Rotation p_center=0/0 p_rot=0.0 p_magn=1.0
 p_corrmap=yes p_niter=1000
transform:
 filename="sam.uxf" entry="3d-mapping-Corr" p_shape=Sphere p_rotx=0.0
 p_roty=0.0 p_rotz=0.0 p_transx=0.0 p_transy=-0.5 p_transz=2.0
 p_fraccenter=-0.0156370335/-0.0316609465 p_fracmagn=0.3362165
 p_fracangle=0
transform:
 filename="ejb.uxf" entry="KPJ1" p_symorder=8.0
 p_symreflect=reflective p_iterchoice="Popcorn Julia formula (PJ)"
 p_power=2 p_itnum=1 p_h=0.05 p_k=3.0 p_bailout=1E18 f_fn1=sin
 f_fn2=tan f_fn3=ident f_fn4=flip
 p_symcenter=-0.100071599/0.0051990755 p_centermove=no p_angle=0.0
transform:
 filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0
 p_usescreen=no
formula:
 maxiter=1000 percheck=off filename="om2.ufm" entry="Tengawn10"
 p_jm=M p_v=7 p_sv=2 p_sp=-0.6/0 p_p19=0/0 p_p20=0/0 p_p1=0.75/0
 p_p2=1/0 p_p3=1/0 p_p4=1/0 p_p6=0.75/0 p_p7=1/0 p_p8=1/0 p_p10=1/0
 p_p9=1/0 f_fn1=ident f_fn2=flip f_fn3=atanh f_fn4=ident f_fn5=ident
 f_fn6=sinh p_p11=1/0 p_p12=0/0 p_p13=1/0 p_p14=0/0 p_p15=1/0
 p_p16=0/0 p_p17=1/0 p_p18=0/0 p_p5=-0.05/0 p_p21=0/0 p_bt=Convergent
 p_bailcon=0.00000001 p_baildiv=1e18
inside:
 transfer=none
outside:
 transfer=linear filename="ejb.ucl"
 entry="Smooth(OUTSIDE)EBver10witherror" p_bailout=128.0 p_choice=0/0
 p_power=2/0 f_final1=log p_initer1=1 p_initer2=0 p_numiter=1
 f_final2=log
gradient:
 smooth=yes rotation=160 index=962 color=16777215 index=759 color=0
 index=360 color=0 index=760 color=0
opacity:
 smooth=no index=0 opacity=255
}
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