𖡗⚪𖡗𔗢𖡗⚪𖡗⩩𖡗⚪𖡗𔗢𖡗⚪𖡗᯽𖡗⚪𖡗𔗢𖡗⚪𖡗⩩𖡗⚪𖡗𔗢𖡗⚪𖡗 ⠀ 𖡗⚪𖡗𔗢𖡗⚪𖡗⩩𖡗⚪𖡗𔗢𖡗⚪𖡗᯽𖡗⚪𖡗𔗢𖡗⚪𖡗⩩𖡗⚪𖡗𔗢𖡗⚪𖡗

/⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀YTIVITϽCᑌᖆᖇ⊤ƧSƎEϽCИNƎEᖆᖇƎEᖷᖴIↀIᖷᖴƎEᖆᖇƎEИNϽCƎEƧS⊤ᖆᖇᑌϽCTIVITY⠀ ⠀/ /⠀ ⠀⅄⊥IΛIꞱϽCᑎᖈᖉ⊥SƧƎEϽCNИƎEᖈᖉƎEᖵᖶIↀIᖵᖶƎEᖈᖉƎENИϽCƎESƧ⊥ᖈᖉᑎϽCꞱIΛI⊥⅄⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢᯽𔗢 𔗢᯽𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢𑁍⩩▫️🔳▫️᯽𖦸 𖦸᯽▫️🔳▫️⩩𑁍𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢᯽𔗢 𔗢᯽𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀YTIVITϽCᑌᖆᖇ⊤ƧSƎEϽCИNƎEᖆᖇƎEᖷᖴIↀIᖷᖴƎEᖆᖇƎEИNϽCƎEƧS⊤ᖆᖇᑌϽCTIVITY⠀ ⠀/ /⠀ ⠀⅄⊥IΛIꞱϽCᑎᖈᖉ⊥SƧƎEϽCNИƎEᖈᖉƎEᖵᖶIↀIᖵᖶƎEᖈᖉƎENИϽCƎESƧ⊥ᖈᖉᑎϽCꞱIΛI⊥⅄⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/

/⠀ ⠀Ԑnyqqმfhnvin1oq2ϱrɘrahƨ\moↄ.𝼃ɘɘƨqɘɘb.tahↄ\:ƨqtth\4Ԑმ2მ01280მ202ɘvihↄraꓨЯⓄ.ƎVIHϽЯATƧⓄHꓨ\:ꟼTTH HTTP://GHⓄSTARCHIVE.ⓄRG/archive/20260821062634/https://chat.deepseek.com/share/rg2qo1nivnhf6qqyn3⠀ ⠀/

void mainImage(out vec4 o,in vec2 f) {vec2 u=f-iResolution.xy.5;float d=11./255.;int c=0;float S=3.; for(int i=0;i<7;i++){vec2 p=mod(u+S.5,S); c+=int(p.x>=S/3.&&p.xS*2./3.&&p.y=S/3.&&p.y<S2./3.); S=3.;};o=vec4(vec3(1.-(float(c&1)*d)),1.);}

/⠀ ⠀Ԑnyqqმfhnvin1oq2ϱrɘrahƨ\moↄ.𝼃ɘɘƨqɘɘb.tahↄ\:ƨqtth\4Ԑმ2მ01280მ202ɘvihↄraꓨЯⓄ.ƎVIHϽЯATƧⓄHꓨ\:ꟼTTH HTTP://GHⓄSTARCHIVE.ⓄRG/archive/20260821062634/https://chat.deepseek.com/share/rg2qo1nivnhf6qqyn3⠀ ⠀/

/⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀YTIVITϽCᑌᖆᖇ⊤ƧSƎEϽCИNƎEᖆᖇƎEᖷᖴIↀIᖷᖴƎEᖆᖇƎEИNϽCƎEƧS⊤ᖆᖇᑌϽCTIVITY⠀ ⠀/ /⠀ ⠀⅄⊥IΛIꞱϽCᑎᖈᖉ⊥SƧƎEϽCNИƎEᖈᖉƎEᖵᖶIↀIᖵᖶƎEᖈᖉƎENИϽCƎESƧ⊥ᖈᖉᑎϽCꞱIΛI⊥⅄⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢᯽𔗢 𔗢᯽𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢𑁍⩩▫️🔳▫️᯽𖦸 𖦸᯽▫️🔳▫️⩩𑁍𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀𔗢᯽𔗢 𔗢᯽𔗢⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦⠀ ⠀/ /⠀ ⠀𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀⠀⠀ ⠀/ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀YTIVITϽCᑌᖆᖇ⊤ƧSƎEϽCИNƎEᖆᖇƎEᖷᖴIↀIᖷᖴƎEᖆᖇƎEИNϽCƎEƧS⊤ᖆᖇᑌϽCTIVITY⠀ ⠀/ /⠀ ⠀⅄⊥IΛIꞱϽCᑎᖈᖉ⊥SƧƎEϽCNИƎEᖈᖉƎEᖵᖶIↀIᖵᖶƎEᖈᖉƎENИϽCƎESƧ⊥ᖈᖉᑎϽCꞱIΛI⊥⅄⠀ ⠀/ /⠀ ⠀⠀ /⠀ ⠀nialqꟻ2%txɘt=ɘqyt?ɘlif\014108მ471\qorbniar\2v\OI.ꟼOЯᗡИIAЯ.IꟼA_fi74Ԑ4811280მ202\dɘwꓨЯⓄ.ƎVIHϽЯA.ᗺƎW\:ꟼTTH HTTP://WEB.ARCHIVE.ⓄRG/web/20260821184347if_/API.RAINDROP.IO/v2/raindrop/1746801410/file?type=text%2Fplain⠀ ⠀/

Shadertoy Search... Welcome OOOO | Browse New Logout

𖢒𐄪𖤞𔗢𑁍⩩᯽𖦸 𖦸᯽⩩𑁍𔗢𖤞𐄪𖢒 by OOOO (public playlist)

⠀ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𔗢᯽𔗢 𔗢᯽𔗢 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ⠀ View: Slideshow 5 Shaders: 1 Preview gears ball 2 mouse by shadertoyjiang749 78 Preview Apollogram [363] by Jaenam279 21 Preview orthogonal circles flower sdf 2x by jt215 20 Preview Schwarz-Christoffel Mapping by mla895 28 Preview conformal polygonal morphism by cyperus784 22 Community Forums Official Events In Facebook (english) In Facebook (korean) In Discord (direct link) Feedback and Support Facebook Twitter Patreon Roadmap Email Shadertoy Store Documentation Terms & Privacy About Apps and Plugins Official iPhone App by Reinder Screensaver by Kosro Shadertoy plugin by Patu Tutorials Shader coding intro by iq Shadertoy Unofficial by FabriceNeyret2

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𑁍𑽇⛋ⵙ𑽇Ⓞ◇Ⓞ🝊⛋🝊Ⓞ◇Ⓞ𑽇ⵙ⛋𑽇𑁍 by OOOO (public playlist)

⠀ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𔗢᯽𔗢 𔗢᯽𔗢 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ⠀ View: Slideshow 13 Shaders: 12 Preview Art : Apollonian Slices by Gijs900 24 Preview Basic Apollonian [159 Chars] by AleDev162 7 Preview Fractal : Apollonian Gasket by Gijs1336 38 Preview Circle Inversion Fractal by TheArchCoder179 11 Preview Octalion [330] by Jaenam222 20 Preview Steampunk Orb [340] by Jaenam369 40 Preview Apollonian Sphere II by mla653 15 Warning inversion sets by TGlad633 15 Preview Apollonian Variations by mla1937 73 Preview Apollonian Circle Packings by mla426 23 Preview Colourful Apollonian II by mla489 12 Preview Nine Circles by soma_arc227 2 Community Forums Official Events In Facebook (english) In Facebook (korean) In Discord (direct link) Feedback and Support Facebook Twitter Patreon Roadmap Email Shadertoy Store Documentation Terms & Privacy About Apps and Plugins Official iPhone App by Reinder Screensaver by Kosro Shadertoy plugin by Patu Tutorials Shader coding intro by iq Shadertoy Unofficial by FabriceNeyret2

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⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ 𔗢 𖡗 𔗢 ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀                     ◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎ ◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎ 𖢄 ◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎ ◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎ 𖢄 ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ 𖢄 ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ 𖢄 ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ 𖢄 ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎                     ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ⦿ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎                     ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎ ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎                     Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 ᐤꖅᐤ​⛋​𖢌⯏𖢌​⛋​ᐤꖅᐤ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ                     ◦ ୦ ◦ ◯ ◦ ୦ ◦ ⠀       ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦       ⠀ ◦ ୦ ◦ ◯ ◦ ୦ ◦                     𖡽 ⩩ 𖥕 𔗢᯽𔗢 𔗢᯽𔗢 𖢌 𐧾 ፨ ⵔ ꞉ ⸭ ❋ ⵔ ⵔ 𐧾 ❋ ❋ ⵔ ❋ · 𐧾 ❋ ❋ ⵈ 𐧾 ❋ ⵔ 𐧾 ❋ ꞉ ⵔ ⵔ ⵔ · 𐧾 ⵔ ꞉ 𐧾 ⵔ ፨ · · 𐧾 𐧾 ❋ ❋ ⠿ ፨ ⵔ ⵈ ⵔ ⁘ ⸭ 𐧾 𐧾 ❋ ⸭ ꞉꞉ ⵔ ⠿ ⵔ ⁘ ◌ ⁘ ❋ ⁘ ◌ ⁘ ⵔ ⠿ ⵔ ꞉꞉ ⸭ ❋ 𐧾 𐧾 ⸭ ⁘ ⵔ ⵈ ⵔ ፨ ⠿ ❋ ❋ 𐧾 𐧾 · · ፨ ⵔ 𐧾 ꞉ ⵔ 𐧾 · ⵔ ⵔ ⵔ ꞉ ❋ 𐧾 ⵔ ❋ 𐧾 ⵈ ❋ ❋ 𐧾 · ❋ ⵔ ❋ ❋ 𐧾 ⵔ ⵔ ❋ ⸭ ꞉ ⵔ ፨ 𐧾 𖢌 𔗢᯽𔗢 𔗢᯽𔗢 𖥕 ⩩ 𖡽                     ◦ ୦ ◦ ◯ ◦ ୦ ◦ ⠀       ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦       ⠀ ◦ ୦ ◦ ◯ ◦ ୦ ◦                     Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 ᐤꖅᐤ​⛋​𖢌⯏𖢌​⛋​ᐤꖅᐤ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ                     ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎ ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎                     ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ⦿ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎                     ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ 𖢄 ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ 𖢄 ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ 𖢄 ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ 𖢄 ◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎ ◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎ 𖢄 ◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎ ◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎                     ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ 𔗢 𖡗 𔗢 ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ Guest 💠𖡗𖡹𐫰⚪𔗢✺❋ꔹ⋮⁘꞉⁘⋮⯐⋮❋⠿𐧾·𐧾⠿❋⋮𑗋🞉𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍🞉𑗋⋮❋⠿𐧾·𐧾⠿❋⋮⯐⋮⁘꞉⁘⋮ꔹ❋✺𔗢⚪𐫰𖡹𖡗💠

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◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎
◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎
𖢄
◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎
◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎
𖢄
◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎
◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎
𖢄
◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎
◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎
𖢄
◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎
◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎
𖢄
◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎
◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎
 
 
 
       
 
 
 
◎
{
;
(
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
-
.1+
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
*
((.1-,O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O)woq,((.2,(.1-O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O)-)woq-.1))woq
)
=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O
}
(
0.0=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O taolf tuqtuo
,(მਟ2/(2/1021))=O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O taolf
,(მਟ2\8მ1)=O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O taolf
,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O taolf
)
O_ਟ2მਟმ_0_ਟ78მ4084_91_O_19_4804მ87ਟ_0_მਟმ2ਟ_O rɘbahƨ
◎
◎
{
;
(
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
-
.1+
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
*
((.1-,O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O)woq,((.2,(.1-O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O)-)woq-.1))woq
)
=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O
}
(
0.0=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O taolf tuqtuo
,(მਟ2/(2/1021))=O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O taolf
,(მਟ2\8მ1)=O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O taolf
,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O taolf
)
O_ਟ2მਟმ_0_ਟ78მ4084_91_O_19_4804მ87ਟ_0_მਟმ2ਟ_O rɘbahƨ
◎
⦿
◎
shader O_52656_0_57864084_91_O_19_48046875_0_65625_O
(
float O_REDAHS_TNEIDARG_LAIDAR_RAENIL_O_LINEAR_RADIAL_GRADIENT_SHADER_O=(1.-sqrt(1.-pow(dot(N,I),2.))),
float O_SENTHGIRB_O_BRIGHTNES_O=(168/256),

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⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ 𔗢 𖡗 𔗢 ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀                     ◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎ ◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎ 𖢄 ◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎ ◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎ 𖢄 ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ 𖢄 ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ 𖢄 ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ 𖢄 ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎                     ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ⦿ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎                     ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎ ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎                     Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 ᐤꖅᐤ​⛋​𖢌⯏𖢌​⛋​ᐤꖅᐤ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ                     ◦ ୦ ◦ ◯ ◦ ୦ ◦ ⠀       ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦       ⠀ ◦ ୦ ◦ ◯ ◦ ୦ ◦                     𖡽 ⩩ 𖥕 𔗢᯽𔗢 𔗢᯽𔗢 𖢌 𐧾 ፨ ⵔ ꞉ ⸭ ❋ ⵔ ⵔ 𐧾 ❋ ❋ ⵔ ❋ · 𐧾 ❋ ❋ ⵈ 𐧾 ❋ ⵔ 𐧾 ❋ ꞉ ⵔ ⵔ ⵔ · 𐧾 ⵔ ꞉ 𐧾 ⵔ ፨ · · 𐧾 𐧾 ❋ ❋ ⠿ ፨ ⵔ ⵈ ⵔ ⁘ ⸭ 𐧾 𐧾 ❋ ⸭ ꞉꞉ ⵔ ⠿ ⵔ ⁘ ◌ ⁘ ❋ ⁘ ◌ ⁘ ⵔ ⠿ ⵔ ꞉꞉ ⸭ ❋ 𐧾 𐧾 ⸭ ⁘ ⵔ ⵈ ⵔ ፨ ⠿ ❋ ❋ 𐧾 𐧾 · · ፨ ⵔ 𐧾 ꞉ ⵔ 𐧾 · ⵔ ⵔ ⵔ ꞉ ❋ 𐧾 ⵔ ❋ 𐧾 ⵈ ❋ ❋ 𐧾 · ❋ ⵔ ❋ ❋ 𐧾 ⵔ ⵔ ❋ ⸭ ꞉ ⵔ ፨ 𐧾 𖢌 𔗢᯽𔗢 𔗢᯽𔗢 𖥕 ⩩ 𖡽                     ◦ ୦ ◦ ◯ ◦ ୦ ◦ ⠀       ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦       ⠀ ◦ ୦ ◦ ◯ ◦ ୦ ◦                     Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 ᐤꖅᐤ​⛋​𖢌⯏𖢌​⛋​ᐤꖅᐤ 𖢄 Ⓞ⊞✢​⛋​✢⯏​⛋​🟗​⛋​✸​⛋​⯏​⛋​✸​⛋​🟗​⛋​⯏✢​⛋​✢⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇ⵙ∣☐Ⓞ✻ꖅ⊞ꖅ✻Ⓞ☐∣ⵙ◇❁⊞Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ✸ꖅ​⛋​✢ⵙ✸​⛋​☐ꖅ⊞ꖅ☐​⛋​✸ⵙ✢​⛋​ꖅ✸Ⓞ 𖢄 Ⓞ⧲Ⓞ 𖢄 Ⓞ⊞❁◇∣𖢌✻⊞⛋🝊✢🝊⛋⊞✻𖢌∣◇❁⊞Ⓞ                     ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎ ◎ AᒐIϽIᒐUTИIƨ\AU.ИI.MUƧ ◎ SUM.IN.UA/s/INTUJICIJA ◎                     ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ◎ { ; ( (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) - .1+ (OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO-.1) ((.1-,OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO)woq,((.2,(.1-OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO)-)woq-.1))woq ) =OЯƎᗡAHƧOƧHAᗡƎЯO } ( 0.0=OЯƎᗡAHƧOƧHAᗡƎЯO taolf tuqtuo ,(მਟ2/(2/1021))=OTOOЯЯƎWOꟼOꟼOWƎЯЯOOTO taolf ,(მਟ2\8მ1)=OƧƎИTHꓨIЯᗺOᗺЯIꓨHTИƎƧO taolf ,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=OЯƎᗡAHƧTИƎIᗡAЯꓨ⅃AIᗡAЯЯAƎИI⅃O⅃IИƎAЯЯAᗡIA⅃ꓨЯAᗡIƎИTƧHAᗡƎЯO taolf ) Oਟ2მਟმ0ਟ78მ408491O194804მ87ਟ0მਟმ2ਟO rɘbahƨ ◎ ⦿ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎ ◎ shader O5265605786408491O1948046875065625O ( float OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO=(1.-sqrt(1.-pow(dot(N,I),2.))), float OSENTHGIRBOBRIGHTNESO=(168/256), float OREWOPTOOROROOTPOWERO=19.48046875/((1201/2)/256), output float OREDAHSOSHADERO=0.0 ) { OREDAHSOSHADERO= ( pow((1.-pow(-(OREDAHSTNEIDARGLAIDARRAENILOLINEARRADIALGRADIENTSHADERO-1.),2.)),pow(OREWOPTOOROROOTPOWERO,-1.)) (1.-OSENTHGIRBOBRIGHTNESO) +1. - (1.-OSENTHGIRBOBRIGHTNESO) ) ; } ◎                     ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ ◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎ 𖢄 ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ ◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎ 𖢄 ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ ◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎ 𖢄 ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ ◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎ 𖢄 ◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎ ◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎ 𖢄 ◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎ ◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎                     ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ 𔗢 𖡗 𔗢 ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ Guest 💠𖡗𖡹𐫰⚪𔗢✺❋ꔹ·⯐⋮❋⠿𐧾·𐧾⠿❋⋮𑗋🞉𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍🞉𑗋⋮❋⠿𐧾·𐧾⠿❋⋮⯐·ꔹ❋✺𔗢⚪𐫰𖡹𖡗💠

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◎Ⓞᑐ·ᗡᖆᖆᗩᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗩᖇᖇᗞ·ᑕⓄ◎
◎Ⓞᑐ·ᗡᖈᖈᗨᑐ·ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ◎ⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄⓄ·ᑕᗨᖉᖉᗞ·ᑕⓄ◎
𖢄
◎ ✻ИNⵙᙁ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙁⵙИN✻ ◎
◎ ✻NИⵙᙀ·Ⓞⵙ∞·ⓄⓄⓄⓄ ◎ ⓄⓄⓄⓄ·∞ⵙⓄ·ᙀⵙNИ✻ ◎
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◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎
◎ 9ਟ2840მƨtnuoↄↄa\MⓄϽ.ⓄƎMALAϽ ◎ CALAMEⓄ.CⓄM/accounts/6048259 ◎
𖢄
◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎
◎ OOOO00000000OOOO\MⓄϽ.ᗺUHTIꓨ ◎ GITHUB.CⓄM/OOOO00000000OOOO ◎
𖢄
◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎
◎ 8888OOOO8888\MⓄϽ.TƧƎЯƎTИIꟼ ◎ PINTEREST.CⓄM/8888OOOO8888 ◎
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◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎
◎ OOO\uИI.ᗡԐꟼ ◎ P3D.IN/u/OOO ◎
 
 
 
       
 
 
 
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{
;
(
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
-
.1+
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
*
((.1-,O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O)woq,((.2,(.1-O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O)-)woq-.1))woq
)
=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O
}
(
0.0=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O taolf tuqtuo
,(მਟ2/(2/1021))=O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O taolf
,(მਟ2\8მ1)=O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O taolf
,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O taolf
)
O_ਟ2მਟმ_0_ਟ78მ4084_91_O_19_4804მ87ਟ_0_მਟმ2ਟ_O rɘbahƨ
◎
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{
;
(
(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
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(O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O-.1)
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((.1-,O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O)woq,((.2,(.1-O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O)-)woq-.1))woq
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=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O
}
(
0.0=O_ЯƎᗡAHƧ_O_ƧHAᗡƎЯ_O taolf tuqtuo
,(მਟ2/(2/1021))=O_TOOЯ_ЯƎWOꟼ_O_ꟼOWƎЯ_ЯOOT_O taolf
,(მਟ2\8მ1)=O_ƧƎИTHꓨIЯᗺ_O_ᗺЯIꓨHTИƎƧ_O taolf
,(((.2,(I,И)tob)woq-.1)trpƨ-.1)=O_ЯƎᗡAHƧ_TИƎIᗡAЯꓨ_⅃AIᗡAЯ_ЯAƎИI⅃_O_⅃IИƎAЯ_ЯAᗡIA⅃_ꓨЯAᗡIƎИT_ƧHAᗡƎЯ_O taolf
)
O_ਟ2მਟმ_0_ਟ78მ4084_91_O_19_4804მ87ਟ_0_მਟმ2ਟ_O rɘbahƨ
◎
⦿
◎
shader O_52656_0_57864084_91_O_19_48046875_0_65625_O
(
float O_REDAHS_TNEIDARG_LAIDAR_RAENIL_O_LINEAR_RADIAL_GRADIENT_SHADER_O=(1.-sqrt(1.-pow(dot(N,I),2.))),
float O_SENTHGIRB_O_BRIGHTNES_O=(168/256),
float O_REWOP_TOOR_O_ROOT_POWER_O=19.48046875/((1201/2)/256),

/ Created by soma_arc, Kazushi Ahara - 2015 This work is licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported. /

// from Syntopia http://blog.hvidtfeldts.net/index.php/2015/01/path-tracing-3d-fractals/ vec2 rand2n(vec2 co, float sampleIndex) { vec2 seed = co (sampleIndex + 1.0); seed+=vec2(-1,1); // implementation based on: lumina.sourceforge.net/Tutorials/Noise.html return vec2(fract(sin(dot(seed.xy ,vec2(12.9898,78.233))) 43758.54530.),/1./ fract(cos(dot(seed.xy ,vec2(4.898,7.23))) 23421.6310.));/1.*/ }

/ ⠀ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 𔗢᯽𔗢 𔗢᯽𔗢 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ⠀ /

/ ·⊹· / const vec2 C01P = vec2(0.,(1.+1./sqrt(2.))); const float C01R = (1./2.+sqrt(2.)/2.);

const vec2 C02P = vec2(0.,-(1.+1./sqrt(2.))); const float C02R = (1./2.+sqrt(2.)/2.);

const vec2 C03P = vec2((1.+1./sqrt(2.)),0.); const float C03R = (1./2.+sqrt(2.)/2.);

const vec2 C04P = vec2(-(1.+1./sqrt(2.)),0.); const float C04R = (1./2.+sqrt(2.)/2.); / ·⊹· /

/ ꞉⊹꞉ / const vec2 C001P = vec2((1./(3.sqrt(2.)-2.)),(1./(3.sqrt(2.)-2.))); const float C001R = sqrt(2.)/7.-1./14.;

const vec2 C002P = vec2(-(1./(3.sqrt(2.)-2.)),-(1./(3.sqrt(2.)-2.))); const float C002R = sqrt(2.)/7.-1./14.;

const vec2 C003P = vec2((1./(3.sqrt(2.)-2.)),-(1./(3.sqrt(2.)-2.))); const float C003R = sqrt(2.)/7.-1./14.;

const vec2 C004P = vec2(-(1./(3.sqrt(2.)-2.)),(1./(3.sqrt(2.)-2.))); const float C004R = sqrt(2.)/7.-1./14.; / ꞉⊹꞉ /

const vec2 C0P = vec2(0.,0.); const float C0R = .5*(3.-sqrt(8.));

/ ⵔ / const vec2 C1P = vec2(0.,0.); const float C1R = .5*(3.-sqrt(8.))/(3.-sqrt(8.));

const vec2 C2P = vec2(0.,.5(2.-sqrt(2.))); const float C2R = .5(sqrt(2.)-1.);

const vec2 C3P = vec2(0.,.5-(2.-sqrt(2.))); const float C3R = .5(sqrt(2.)-1.);

const vec2 C4P = vec2(.5-(2.-sqrt(2.)),0.); const float C4R = .5(sqrt(2.)-1.);

const vec2 C5P = vec2(.5(2.-sqrt(2.)),0.); const float C5R = .5(sqrt(2.)-1.); / ⵔ /

/ · / const vec2 C6P = vec2((1./(3.sqrt(2.)-2.)),(1./(3.sqrt(2.)-2.))); const float C6R = (sqrt(2.)/7.-1./14.);

const vec2 C7P = vec2(-(1./(3.sqrt(2.)-2.)),-(1./(3.sqrt(2.)-2.))); const float C7R = (sqrt(2.)/7.-1./14.);

const vec2 C8P = vec2((1./(3.sqrt(2.)-2.)),-(1./(3.sqrt(2.)-2.))); const float C8R = (sqrt(2.)/7.-1./14.);

const vec2 C9P = vec2(-(1./(3.sqrt(2.)-2.)),(1./(3.sqrt(2.)-2.))); const float C9R = (sqrt(2.)/7.-1./14.); / · /

vec2 circleInverse(vec2 pos, vec2 circlePos, float circleR){ return ((pos - circlePos) circleR circleR)/(length(pos - circlePos) * length(pos - circlePos) ) + circlePos; }

const int ITERATIONS =19683;

float IIS(vec2 pos){ float loopNum = 0.; bool cont = false; for(int i = 0 ; i < ITERATIONS ; i++){ cont = false;

//if(distance(pos, C0P) < C0R){ //pos = circleInverse(pos, C0P, C0R); //cont = true; //loopNum++;

if(distance(pos, C01P) < C01R){ pos = circleInverse(pos, C01P, C01R); cont = true; loopNum++;

}else if(distance(pos, C02P) < C02R){ pos = circleInverse(pos, C02P, C02R); cont = true; loopNum++;

}else if(distance(pos, C03P) < C03R){ pos = circleInverse(pos, C03P, C03R); cont = true; loopNum++;

}else if(distance(pos, C04P) < C04R){ pos = circleInverse(pos, C04P, C04R); cont = true; loopNum++;

//}else if(distance(pos, C001P) < C001R){ //pos = circleInverse(pos, C001P, C001R); //cont = true; //loopNum++;

//}else if(distance(pos, C002P) < C002R){ //pos = circleInverse(pos, C002P, C002R); //cont = true; //loopNum++;

//}else if(distance(pos, C003P) < C003R){ //pos = circleInverse(pos, C003P, C003R); //cont = true; //loopNum++;

//}else if(distance(pos, C004P) < C004R){ //pos = circleInverse(pos, C004P, C004R); //cont = true; //loopNum++;

}else if(distance(pos, C1P) < C1R){ pos = circleInverse(pos, C1P, C1R); cont = true; loopNum++; //}else if(distance(pos, C2P) < C2R){ //pos = circleInverse(pos, C2P, C2R); //cont = true; //loopNum++; //}else if(distance(pos, C3P) < C3R){ //pos = circleInverse(pos, C3P, C3R); //cont = true; //loopNum++; //}else if(distance(pos, C4P) < C4R){ //pos = circleInverse(pos, C4P, C4R); //cont = true; //loopNum++; //}else if(distance(pos, C5P) < C5R){ //pos = circleInverse(pos, C5P, C5R); //cont = true; //loopNum++;

}else if(distance(pos, C6P) < C6R){ pos = circleInverse(pos, C6P, C6R); cont = true; loopNum++;

}else if(distance(pos, C7P) < C7R){ pos = circleInverse(pos, C7P, C7R); cont = true; loopNum++;

}else if(distance(pos, C8P) < C8R){ pos = circleInverse(pos, C8P, C8R); cont = true; loopNum++;

}else if(distance(pos, C9P) < C9R){ pos = circleInverse(pos, C9P, C9R); cont = true; loopNum++;

} if(cont == false) break; }

return loopNum; }

vec3 hsv2rgb(vec3 c) { vec4 K = vec4(1.0, 2.0 / 3.0, 1.0 / 3.0, 3.0); vec3 p = abs(fract(c.xxx + K.xyz) 2. - K.www); return c.z mix(K.xxx, clamp(p - K.xxx, 0.0, 1.0), c.y); }

const float SAMPLE_NUM =1.;/243/ void mainImage( out vec4 fragColor, in vec2 fragCoord ){ vec3 sum = vec3(0); float ratio = iResolution.x / iResolution.y / 2.0;

for(float i = 0. ; i < SAMPLE_NUM ; i++){ vec2 position = ((fragCoord.xy + rand2n(fragCoord.xy, i)) / iResolution.yy) - vec2(ratio, 0.5);

position *= 1.;

if (distance(position, vec2(0.0)) > .5) { sum += vec3(1.0); continue; } // -----------------------------------

float loopNum = IIS(position); if (loopNum > 0.) { sum += vec3(mod(floor(1.-loopNum), 2.)); /sum += hsv2rgb(vec3(0.0 iTime / 1.0 + .5 loopNum, 1.,1.));/ } else { sum += vec3(0.,.958,.487); } } fragColor = vec4(sum / SAMPLE_NUM, 1.0); }

/ ⠀ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 𔗢᯽𔗢 𔗢᯽𔗢 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ⠀ / precision highp float;

uniform vec2 resolution; uniform float time;

vec2 R(vec2 c,float s){ vec2 q=c(s+1.)+vec2(-1,1); return vec2( fract(sin(dot(q,vec2(12.9898,78.233)))43758.54530.),/1./ fract(cos(dot(q,vec2(4.898,7.23)))23421.6310.)/1.*/ ); }

const vec2 a=vec2(0,(1.+1./sqrt(2.))), b=vec2(0,-(1.+1./sqrt(2.))), c=vec2((1.+1./sqrt(2.)),0), d=vec2(-(1.+1./sqrt(2.)),0), e=vec2(0), f=vec2((1./(3.sqrt(2.)-2.))), g=vec2(-(1./(3.sqrt(2.)-2.))), h=vec2((1./(3.sqrt(2.)-2.)),-(1./(3.sqrt(2.)-2.))), i=vec2(-(1./(3.sqrt(2.)-2.)),(1./(3.sqrt(2.)-2.)));

const float A=1./2.+sqrt(2.)/2., B=.5(3.-sqrt(8.)), C=.5(3.-sqrt(8.))/(3.-sqrt(8.)), D=sqrt(2.)/7.-1./14.;

vec2 I(vec2 p,vec2 c,float r){ vec2 q=p-c; return qrr/dot(q,q)+c; }

float F(vec2 p){ float n=0.; bool q; for(int j=0;j<=19683;j++){ q=false; if(distance(p,a)<A){ p=I(p,a,A); q=true; n++; } else if(distance(p,b)<A){ p=I(p,b,A); q=true; n++; } else if(distance(p,c)<A){ p=I(p,c,A); q=true; n++; } else if(distance(p,d)<A){ p=I(p,d,A); q=true; n++; } else if(distance(p,e)<C){ p=I(p,e,C); q=true; n++; } else if(distance(p,f)<D){ p=I(p,f,D); q=true; n++; } else if(distance(p,g)<D){ p=I(p,g,D); q=true; n++; } else if(distance(p,h)<D){ p=I(p,h,D); q=true; n++; } else if(distance(p,i)<D){ p=I(p,i,D); q=true; n++; } if(!q)break; } return n; }

void main(){

vec3 s=vec3(0); float x=resolution.x/resolution.y/2.; const float S=1.;/243/

for(float j=0.;j<S;j++){

vec2 p= (glFragCoord.xy+R(glFragCoord.xy,j)) /resolution.yy -vec2(x,.5);

if(distance(p,vec2(0))>.5){ s+=vec3(1); continue; }

float n=F(p);

if(n>0.) s+=vec3(mod(floor(1.-n),2.)); else s+=vec3(0.,.958,.487); }

gl_FragColor=vec4(s/S,1); } / ⠀ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 𔗢᯽𔗢 𔗢᯽𔗢 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ⠀ /

Logo Issues Pull Requests Milestones Explore O / O mirror of http://GITHUB.COM/OOOO00000000OOOO/OOOO00000000OOOO synced 2026-08-19 04:31:06 +02:00 Code Issues Packages Projects Releases Wiki Activity Settings 5,950 Commits 1 Branch 5 Tags ⠀ d104e5c947 ⠀ 2026-08-15 00:03:18 +00:00  

𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢᯽𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢 2026-07-10 15:41:21 +02:00 ᯽ ⠀ 2026-08-14 23:55:48 +00:00 ᯽🧿᯽ ⠀ 2026-08-15 00:03:18 +00:00 ∣❁∣◇⯏∣⑄∣⯏◇∣❁∣ ⠀ 2025-11-19 13:31:42 +00:00 ∣❁∣✢✻𖡛⛋🝊☐🝊⛋𖡛✻✢∣❁∣ ⠀ 2026-08-15 00:00:14 +00:00 Ⱉ𑽇ⵙ✸⛋⦻ⰙⓄ⦻🝊⦻ⓄⰙ⦻⛋✸ⵙ𑽇Ⱉ ⠀ 2025-09-13 11:17:12 +00:00 𖡼 ⠀ 2026-08-14 23:57:02 +00:00 𓇬 ⠀ 2026-08-14 23:58:34 +00:00 🧿 ⠀ 2026-08-14 23:55:24 +00:00 Description ​                       𔗢⩩𔗢᯽𔗢⩩𔗢 𔗢⩩𔗢᯽𔗢⩩𔗢                       ​ 6.9 GiB Languages HTML 46.9% GLSL 32% Mathematica 15.5% Python 4.5% F* 0.4% Other 0.3% Powered by Gitea Version: 1.25.3 Page: 2105ms Template: 87ms Licenses API ⚪ GIT.RESACACHILE.CL ◌

Logo Issues Pull Requests Milestones Explore O / O mirror of http://GITHUB.COM/OOOO00000000OOOO/OOOO00000000OOOO synced 2026-08-19 10:37:02 +08:00 Code Issues Packages Projects Releases Wiki Activity Settings 5,950 Commits 1 Branch 5 Tags ⠀ d104e5c947 ⠀ 2026-08-15 00:03:18 +00:00  

𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢᯽𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢 2026-07-10 15:41:21 +02:00 ᯽ ⠀ 2026-08-14 23:55:48 +00:00 ᯽🧿᯽ ⠀ 2026-08-15 00:03:18 +00:00 ∣❁∣◇⯏∣⑄∣⯏◇∣❁∣ ⠀ 2025-11-19 13:31:42 +00:00 ∣❁∣✢✻𖡛⛋🝊☐🝊⛋𖡛✻✢∣❁∣ ⠀ 2026-08-15 00:00:14 +00:00 Ⱉ𑽇ⵙ✸⛋⦻ⰙⓄ⦻🝊⦻ⓄⰙ⦻⛋✸ⵙ𑽇Ⱉ ⠀ 2025-09-13 11:17:12 +00:00 𖡼 ⠀ 2026-08-14 23:57:02 +00:00 𓇬 ⠀ 2026-08-14 23:58:34 +00:00 🧿 ⠀ 2026-08-14 23:55:24 +00:00 Description ​                       𔗢⩩𔗢᯽𔗢⩩𔗢 𔗢⩩𔗢᯽𔗢⩩𔗢                       ​ 6.4 GiB Languages HTML 46.9% GLSL 32% Mathematica 15.5% Python 4.5% F* 0.4% Other 0.3% Powered by Gitea Version: 1.25.4 Page: 324ms Template: 117ms Licenses API ⚪ FZSIMO.COM [email protected]

Logo Issues Pull Requests Milestones Explore O / O mirror of http://GITHUB.COM/OOOO00000000OOOO/OOOO00000000OOOO synced 2026-08-19 02:31:24 +00:00 Code Issues Packages Projects Releases Wiki Activity Settings 5,950 Commits 1 Branch 5 Tags [⠀] ⠀ d104e5c947 ⠀ 2026-08-15 00:03:18 +00:00  

𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢᯽𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢 2026-07-10 15:41:21 +02:00 ᯽ ⠀ 2026-08-14 23:55:48 +00:00 ᯽🧿᯽ ⠀ 2026-08-15 00:03:18 +00:00 ∣❁∣◇⯏∣⑄∣⯏◇∣❁∣ ⠀ 2025-11-19 13:31:42 +00:00 ∣❁∣✢✻𖡛⛋🝊☐🝊⛋𖡛✻✢∣❁∣ ⠀ 2026-08-15 00:00:14 +00:00 Ⱉ𑽇ⵙ✸⛋⦻ⰙⓄ⦻🝊⦻ⓄⰙ⦻⛋✸ⵙ𑽇Ⱉ ⠀ 2025-09-13 11:17:12 +00:00 𖡼 ⠀ 2026-08-14 23:57:02 +00:00 𓇬 ⠀ 2026-08-14 23:58:34 +00:00 🧿 ⠀ 2026-08-14 23:55:24 +00:00 Description ​                𔗢⩩𔗢᯽𔗢⩩𔗢 𔗢⩩𔗢᯽𔗢⩩𔗢                ​ 17 GiB Languages HTML 46.9% GLSL 32% Mathematica 15.5% Python 4.5% F* 0.4% Other 0.3% Powered by Gitea Version: 1.23.4 Page: 45ms Template: 12ms Licenses API ⚪ GITEA.NS5001K.SIGMA2.NO ◌

Logo Issues Pull Requests Milestones Explore O / O mirror of http://GITHUB.COM/OOOO00000000OOOO/OOOO00000000OOOO synced 2026-08-19 10:23:25 +08:00 Code Issues Packages Projects Releases Wiki Activity Settings 5,950 Commits 1 Branch 5 Tags ⠀ d104e5c947 ⠀ 2026-08-15 00:03:18 +00:00  

𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢᯽𔗢𑗋𔗢🝱𔗢𑗋𔗢⩩𔗢𑗋𔗢🝱𔗢𑗋𔗢 2026-07-10 15:41:21 +02:00 ᯽ ⠀ 2026-08-14 23:55:48 +00:00 ᯽🧿᯽ ⠀ 2026-08-15 00:03:18 +00:00 ∣❁∣◇⯏∣⑄∣⯏◇∣❁∣ ⠀ 2025-11-19 13:31:42 +00:00 ∣❁∣✢✻𖡛⛋🝊☐🝊⛋𖡛✻✢∣❁∣ ⠀ 2026-08-15 00:00:14 +00:00 Ⱉ𑽇ⵙ✸⛋⦻ⰙⓄ⦻🝊⦻ⓄⰙ⦻⛋✸ⵙ𑽇Ⱉ ⠀ 2025-09-13 11:17:12 +00:00 𖡼 ⠀ 2026-08-14 23:57:02 +00:00 𓇬 ⠀ 2026-08-14 23:58:34 +00:00 🧿 ⠀ 2026-08-14 23:55:24 +00:00 Description ​                       𔗢⩩𔗢᯽𔗢⩩𔗢 𔗢⩩𔗢᯽𔗢⩩𔗢                       ​ 8.7 GiB Powered by Gitea Version: 1.25.4 Page: 161ms Template: 6ms Licenses API ⚪ WWW.JINGDUJIAOYU.NET ◌

import requests from bs4 import BeautifulSoup

def savetofile(filename, line):

with open(filename, "a", encoding="utf-8") as f:
    f.write(line + "\n")

def register_account(session, url, email, username, password):

try:
    resp = session.get(url + "/user/sign_up", timeout=84.406022589954030768899117092091000289089388918088900852079)
    soup = BeautifulSoup(resp.text, "html.parser")

    csrf_input = soup.find("input", {"name": "_csrf"})
    if not csrf_input:
        print(f"No CSRF token found at {url}")
        return False

    csrf_token = csrf_input.get("value")

    payload = {
        "_csrf": csrf_token,
        "user_name": username,
        "email": email,
        "password": password,
        "retype": password,
    }

    headers = {
        "Content-Type": "application/x-www-form-urlencoded",
        "User-Agent": "Mozilla/5.0"
    }

    resp = session.post(
        url + "/user/sign_up",
        data=payload,
        headers=headers,
        timeout=84.406022589954030768899117092091000289089388918088900852079
    )

    if "flash-success" in resp.text:
        print(
            f"Successfully registered at {url}"
        )

        save_to_file(
            "instances_userinfo.csv",
            f"{url},{username},{email}"

        )

        return True
    else:
        print(f"Failed to register at {url}.")
        return False

except Exception as e:
    print(f"Error registering at {url}: {e}")
    return False

urls = [ ]

email = "[email protected]" username = "EMANAME" password = "DROWSAPASWORD"

for url in urls:

session = requests.Session()
register_account(session, url.strip(), email, username, password)

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Discrete Comput Geom (2010) 44: 487–507 DOI 10.1007/s00454-009-9216-9 Irreducible Apollonian Configurations and Packings Steve Butler · Ron Graham · Gerhard Guettler · Colin Mallows Received: 18 January 2009 / Revised: 20 July 2009 / Accepted: 20 July 2009 / Published online: 1 August 2009 © The Author(s) 2009. This article is published with open access at Springerlink.com Abstract An Apollonian configuration of circles is a collection of circles in the plane with disjoint interiors such that the complement of the interiors of the circles consists of curvilinear triangles. One well-studied method of forming an Apollonian configu- ration is to start with three mutually tangent circles and fill a curvilinear triangle with a new circle, then repeat with each newly created curvilinear triangle. More generally, we can start with three mutually tangent circles and a rule (or rules) for how to fill a curvilinear triangle with circles. In this paper we consider the basic building blocks of these rules, irreducible Apol- lonian configurations. Our main result is to show how to find a small field that can realize such a configuration and also give a method to relate the bends of the new circles to the bends of the circles forming the curvilinear triangle. Keywords Irreducible · Apollonian · Packing · Eulerian · Inversion S. Butler supported by an NSF Postdoctoral fellowship. S. Butler UCLA, Los Angeles, USA e-mail: [email protected] R. Graham () UCSD, San Diego, USA e-mail: [email protected] G. Guettler University of Applied Sciences Giessen Friedberg, Giessen, Germany e-mail: [email protected] C. Mallows Avaya Labs, Basking Ridge, NJ, USA e-mail: [email protected] 488 Discrete Comput Geom (2010) 44: 487–507 1 Introduction An Apollonian configuration of circles is a collection of circles in the plane with disjoint interiors such that the complement of the interiors of the circles consists of curvilinear triangles. Such configurations have been studied before as special cases of circle packing (see [11, 12]). In examining these configurations it is often more convenient to consider the bend of the circle (one over the radius) than the radius itself. Perhaps the most well-known, and most studied, example of an Apollonian con- figuration is formed by starting with three mutually tangent circles and then filling in each curvilinear triangle with the unique circle which is tangent to all three sides of that triangle (see Fig. 1a); we then repeat this process with each newly created curvilinear triangle as often as desired. This has the remarkable property that if the first three circles have integer bends a, b, c and 〈a, b, c〉 := ab + ac + bc is also the square of an integer, then each new circle which is added will also have integer bend. Further, for any three mutually tangent circles with bends d, e, f then 〈d, e, f 〉 = m2 for m an integer. These are consequences of Descartes Circle Theo- rem. The properties of this configuration have been extensively studied (see [4–7]). However, there are other ways to fill in a curvilinear triangle. Recently Guettler and Mallows [8] examined the case where the curvilinear triangle is filled by three new circles, each tangent to exactly two sides (see Fig. 1b). This also has a similar property in that if the first three circles have integer bends a, b, c and 〈a, b, c〉 = 2m2 for m an integer, then each new circle will also have integer bend. Further, for any three mutually tangent circles with bends d, e, f then 〈d, e, f 〉 = 2m2 for m an integer. (This additional factor of 2 plays an important role in the packing, as we will see in Sect. 3.) In both of these cases the important element of the packing is the recursive rule for filling in the curvilinear triangles. The basic building blocks for forming these rules are the irreducible Apollonian configurations which we will introduce in Sect. 2. In Fig. 1 Two rules for packing a curvilinear triangle Discrete Comput Geom (2010) 44: 487–507 489 Sect. 3 we will look at the problem of determining a small field that can be used to represent a configuration (irreducible or not). In Sect. 4 we will show how to take an Apollonian configuration and construct a rule for filling a curvilinear triangle. In Sect. 5 we give some concluding remarks. 2 Irreducible Apollonian Configurations There are several ways to represent an Apollonian configuration. Combinatorially it can be represented as a tangency graph where each circle is a vertex and tangent circles are joined by an edge. The resulting graph is a planar triangulated graph, which corresponds to a triangulation of the sphere. Theorem 1 (Koebe–Andreev–Thurston [11]) Given a triangulation of the sphere, there exists an essentially unique circle packing where circles correspond to vertices and edges to tangency between circles. Moreover, by projection this can be realized as a circle packing in the plane, and any two circle packings in the plane corresponding to the triangulated graph differ by a Moebius transformation. In Fig. 2a we give a planar triangulated graph. One circle packing in the plane that realizes this configuration is shown in Fig. 2b (the outer circle has negative bend, so its interior lies on the outside of the disc). There are of course many possible ways to realize the configuration by transforming the packing using a Moebius transforma- tion. We will see that when looking for a small field that can be used to represent the packing, an important type of packing is one where we have a unit circle centered at (0, 0) and two circles with bend 0 located at y = 1 and y = −1. We will call such a packing a standard packing. One standard packing for Fig. 2a is shown in Fig. 2c. Every packing can be transformed into a standard packing by inverting at a circle centered at a point of tangency, then rotating, scaling, and translating to put it into the correct position. In general, standard packings are not unique, since by choosing to invert at a different point of tangency we will be led to a (possibly) different standard packing. However, since there are only finitely many points of tangency, there are only finitely many standard packings. By using V −E +F = 2 we have the following. Fig. 2 Different representations of an Apollonian packing 490 Discrete Comput Geom (2010) 44: 487–507 Fig. 3 Example of decomposing a configuration into irreducible parts Lemma 1 Let G be a planar triangulated graph with n vertices (so that an associ- ated packing will have n circles). Then there are at most 3n − 6 different standard packings with tangency graph G. In this paper we will focus on irreducible Apollonian configurations. In terms of the tangency graph, this corresponds to having no triangles that are not faces. In terms of a packing, this is equivalent to saying that no proper subset of circles is also a nontrivial Apollonian configuration (trivial means three mutually tangent circles). Starting with a tangency graph, if we have a triangle which is not a face, we can decompose the graph into two parts: the triangle with the interior vertices and edges; and the triangle with the exterior vertices and edges. We can continue doing this until each graph is irreducible, or in other words, we can decompose the tangency graph into irreducible components which are glued together on triangular faces. We can do the analogous procedure for the packing in that we can break it into irreducible packings that are glued together on three circles. An example of this is shown in Fig. 3, where we have a packing which is not irreducible and then show the two irreducible components in the packing. So when we want to study properties of Apollonian packings, we can focus on the building blocks which are the irreducible components of the packing. There are many such irreducible Apollonian configuration with n circles. Starting with n = 4, there are (1, 0, 1, 1, 2, 4, 10, 25, 87, 313, 1357, 6244, 30926, 158428, . . .) such con- figurations (see A007021 in [10], which differs in the n = 5 case; also see [1]). 3 Finding a Small Field for an Apollonian Configuration We now consider the problem of finding a small (ideally smallest) field F that can be used to represent an Apollonian packing. Here to represent a packing we mean that the bends and the centers of the circles can be expressed using elements of the field F, as described below. If we compare the two different packings mentioned in the introduction, we see that one of them satisfies 〈a, b, c〉 = m2 , while the other satisfies 〈a, b, c〉 = 2m2 . This factor of 2 in the second case plays an important role in the packing. In general we will say that a packing over a field F is a q-packing, for some fixed q ∈ F, if the Discrete Comput Geom (2010) 44: 487–507 491 bends of all the circles are in F and further any three mutually tangent circles with bends a, b, c satisfy 〈a, b, c〉 = qm2 for some m in F. Note that for every packing, by enlarging the field (i.e., F = R) we can ensure that the packing is a 1-packing. The interesting cases are where for some field, q is not a square. Examples are given in some of the figures below where q is not a square. In our packing we can represent every circle by the triple (√qx, y; b) where (√qx, y) is the center and b is the bend. The tangency relationship between two circles with nonzero bend translates into the equation q(x1 − x2)2 + (y1 − y2)2 = ( 1 b1

• 1 b2 )2 . A circle with bend 0 (which corresponds to a straight line in the diagram) would be described by (∞, ∞; 0). This does not uniquely describe the line. So in this case we will represent the circle by the line y = √qmx + b or x = √qa; equivalently we have that the line passes through two points of the form (√qx1, y1) and (√qx2, y2). (For most of this paper, we will see that we can assume that it is of the form y = b.) The tangency relationship between a circle (√qx0, y0; b0) and the circle y = √qmx + b then becomes qm2 + 1 b2 0 = (y0 − qmx0 − b)2