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 Post subject: Islamic Rose tiling
PostPosted: Sun Aug 06, 2017 9:50 am 
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Joined: Wed Jun 25, 2014 6:28 pm
Posts: 230
Location: Sardegna
You can replace the square with whatever ... it's pretty. :D

It's a logarithmic spiral tiling, and flowers are a natural log-spiral

Image
Code:
<flame name="Rose" smooth_gradient="0" version="JWildfire 3.20 (15.07.2017)" size="800 600" center="0.0 0.0" scale="41.201716738197426" rotate="0.0" filter="0.75" filter_type="ADAPTIVE" filter_kernel="MITCHELL_SINEPOW" filter_indicator="0" filter_sharpness="4.0" filter_low_density="0.025" oversample="2" post_noise_filter="0" post_noise_filter_threshold="0.35" quality="25.0" background_type="GRADIENT_2X2_C" background_ul="0.0 0.0 0.0" background_ur="0.0 0.0 0.0" background_ll="0.0 0.0 0.0" background_lr="0.0 0.0 0.0" background_cc="0.0 0.0 0.0" bg_transparency="0" brightness="4.0" saturation="1.0" gamma="4.0" gamma_threshold="0.01" vibrancy="1.0" contrast="1.0" white_level="220.0" temporal_samples="1.0" cam_zoom="3.295" cam_pitch="0.0" cam_yaw="0.0" cam_persp="0.0" cam_xfocus="0.0" cam_yfocus="0.0" cam_zfocus="0.0" cam_pos_x="0.0" cam_pos_y="0.0" cam_pos_z="0.0" cam_zpos="0.0" cam_dof="0.0" cam_dof_area="0.5" cam_dof_exponent="2.0" low_density_brightness="0.24" balancing_red="1.0" balancing_green="1.0" balancing_blue="1.0" cam_dof_shape="BUBBLE" cam_dof_scale="1.0" cam_dof_rotate="0.0" cam_dof_fade="1.0" antialias_amount="0.25" antialias_radius="0.5" post_symmetry_type="NONE" post_symmetry_order="3" post_symmetry_centre_x="0.0" post_symmetry_centre_y="0.0" post_symmetry_distance="1.25" post_symmetry_rotation="6.0" frame="1" frame_count="300" fps="30" post_blur_radius="0" post_blur_fade="0.95" post_blur_falloff="2.0" zbuffer_scale="1.0" mixer_mode="OFF">
  <xform weight="1.0" color="0.0" symmetry="1.0" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" bent2="1.0" bent2_fx_priority="0" bent2_x="0.41" bent2_y="1.0" coefs="1.0 0.0 0.0 1.0 1.5 0.0" post="-1.0 -2.7755575615628914E-16 2.7755575615628914E-16 -1.0 -1.5 0.0" chaos="0.0 1.0 1.0 1.0"/>
  <xform weight="10.0" color="0.0" symmetry="1.0" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" linear="1.0" linear_fx_priority="0" coefs="0.7071067811865476 0.7071067811865475 -0.7071067811865475 0.7071067811865476 0.0 0.0" chaos="0.0 1.0 1.0 1.0"/>
  <xform weight="0.3333" color="0.0" symmetry="0.0" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" opacity="0.0" square="1.0" square_fx_priority="0" coefs="1.0 0.0 0.0 1.0 0.0 0.0" post="0.6213082823205328 0.6213082823205327 -0.6213082823205327 0.6213082823205328 -1.5 0.0" chaos="1.0 0.0 0.0 0.0"/>
  <xform weight="0.35" color="1.0" symmetry="0.52" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" linear="1.0" linear_fx_priority="0" coefs="0.7071067811865476 0.7071067811865475 -0.7071067811865475 0.7071067811865476 0.0 0.0" post="0.7089047888546671 -0.2936379779748384 0.2936379779748384 0.7089047888546671 0.0 0.0" chaos="0.0 1.0 1.0 1.0"/>
  <palette count="256" format="RGB">
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</flame>
This is a spiral tiling using triangles; (from http://www.mathpages.com/home/kmath620/kmath620.htm - hand adjusted :oops: )
Code:
 <flame name="SpiralTile" smooth_gradient="0" version="JWildfire 3.20 (15.07.2017)" size="800 600" center="-0.6495566786641419 0.09330440562334613" scale="54.0" rotate="0.0" filter="0.75" filter_type="ADAPTIVE" filter_kernel="MITCHELL_SINEPOW" filter_indicator="0" filter_sharpness="4.0" filter_low_density="0.025" oversample="2" post_noise_filter="0" post_noise_filter_threshold="0.35" quality="25.0" background_type="GRADIENT_2X2_C" background_ul="0.0 0.0 0.0" background_ur="0.0 0.0 0.0" background_ll="0.0 0.0 0.0" background_lr="0.0 0.0 0.0" background_cc="0.0 0.0 0.0" bg_transparency="0" brightness="4.0" saturation="1.0" gamma="4.0" gamma_threshold="0.01" vibrancy="1.0" contrast="1.0" white_level="220.0" temporal_samples="1.0" cam_zoom="5.0" cam_pitch="0.0" cam_yaw="0.0" cam_persp="0.0" cam_xfocus="0.0" cam_yfocus="0.0" cam_zfocus="0.0" cam_pos_x="0.0" cam_pos_y="0.0" cam_pos_z="0.0" cam_zpos="0.0" cam_dof="0.0" cam_dof_area="0.5" cam_dof_exponent="2.0" low_density_brightness="0.24" balancing_red="1.0" balancing_green="1.0" balancing_blue="1.0" cam_dof_shape="BUBBLE" cam_dof_scale="1.0" cam_dof_rotate="0.0" cam_dof_fade="1.0" antialias_amount="0.25" antialias_radius="0.5" post_symmetry_type="NONE" post_symmetry_order="3" post_symmetry_centre_x="0.0" post_symmetry_centre_y="0.0" post_symmetry_distance="1.25" post_symmetry_rotation="6.0" frame="1" frame_count="300" fps="30" post_blur_radius="0" post_blur_fade="0.95" post_blur_falloff="2.0" zbuffer_scale="1.0" mixer_mode="OFF">
  <xform weight="1.0" color="0.0" symmetry="1.0" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" linear="1.0" linear_fx_priority="0" coefs="1.0 0.0 0.0 1.0 1.5 0.0" post="-1.0 -2.7755575615628914E-16 2.7755575615628914E-16 -1.0 -1.5 0.0" chaos="0.0 1.0 1.0"/>
  <xform weight="10.0" color="0.98" symmetry="0.61" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" linear="1.0" linear_fx_priority="0" coefs="0.5000000000000001 -0.8660254037844386 0.8660254037844386 0.5000000000000001 -0.0844056860507405 -0.1759733003925306" post="0.7548776662000001 0.0 0.0 0.7548776662000001 0.0 0.0" chaos="0.0 1.0 1.0"/>
  <xform weight="0.3333" color="0.0" symmetry="0.0" material="0.0" material_speed="0.0" mod_gamma="0.0" mod_gamma_speed="0.0" mod_contrast="0.0" mod_contrast_speed="0.0" mod_saturation="0.0" mod_saturation_speed="0.0" mod_hue="0.0" mod_hue_speed="0.0" opacity="0.0" nBlur="1.0" nBlur_fx_priority="0" nBlur_numEdges="3" nBlur_numStripes="0" nBlur_ratioStripes="1.0" nBlur_ratioHole="0.0" nBlur_circumCircle="0" nBlur_adjustToLinear="1" nBlur_equalBlur="1" nBlur_exactCalc="0" nBlur_highlightEdges="1.0" coefs="1.0 0.0 0.0 1.0 0.0 0.0" post="0.8786625992724292 -1.6653345369377348E-16 1.6653345369377348E-16 0.8786625992724292 -1.8300000000000003 0.0" chaos="1.0 0.0 0.0"/>
  <palette count="256" format="RGB">
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</flame>

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 Post subject: Re: Islamic Rose tiling
PostPosted: Mon Aug 07, 2017 12:40 pm 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Love this, thank you, will show one soon :-)


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 Post subject: Re: Islamic Rose tiling
PostPosted: Mon Aug 07, 2017 4:10 pm 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Thank you had fun with this today :-)

Image Image Image


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 Post subject: Re: Islamic Rose tiling
PostPosted: Mon Aug 07, 2017 10:24 pm 
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Joined: Wed Jun 25, 2014 6:28 pm
Posts: 230
Location: Sardegna
Cool, but have you tried to create a square flame, then fit it into a subflame_wf, then to tile it?
(if the flame is not square use a final tx with post_crop!)
The result won't overlap and will respect the original tiling concept... I tried with the triangular one :)

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 Post subject: Re: Islamic Rose tiling
PostPosted: Tue Aug 08, 2017 12:43 am 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Quote:
Cool, but have you tried to create a square flame, then fit it into a subflame_wf, then to tile it?
(if the flame is not square use a final tx with post_crop!)
The result won't overlap and will respect the original tiling concept... I tried with the triangular one :)

i was trying with subflames but didnt succeed yet, but havent given up on it :-) but that is probably because they were not square so thank you for the tip, will try again :-)


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 Post subject: Re: Islamic Rose tiling
PostPosted: Tue Aug 08, 2017 6:04 pm 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Something like this? :-)

Image Image

I am not seeing how to get the shapes of your images though?


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 Post subject: Re: Islamic Rose tiling
PostPosted: Tue Aug 08, 2017 10:48 pm 
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Joined: Wed Jun 25, 2014 6:28 pm
Posts: 230
Location: Sardegna
You are close, move/resize the subflame until you get my same exact results, will take some time but worth it! :D You should be done in 10 minutes... Keep trying until everything is perfect
the islamic rose requires the bent2 tricky linked to move the square borders. It is a more elaborate example

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 Post subject: Re: Islamic Rose tiling
PostPosted: Thu Aug 10, 2017 12:24 pm 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Got it! :D

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 Post subject: Re: Islamic Rose tiling
PostPosted: Fri Aug 11, 2017 2:11 am 
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Joined: Wed Nov 26, 2014 1:33 pm
Posts: 65
Location: Germany
Last ones :-) combined the truchet _ae with it

ImageImage


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 Post subject: Re: Islamic Rose tiling
PostPosted: Sat Aug 12, 2017 3:35 pm 
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Joined: Mon Jun 08, 2015 4:40 am
Posts: 307
I am having a ton of fun with this today. Thanks so much for sharing with us! I have not yet tried the subflame and my fractals are overlapped like mad, but I really like them. I will play around with the subflame technique later.


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