I=9

\sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum_{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum_{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

I=9

\sum_{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right} \sum_{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right} \sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

I=2

g(n)=\sum_{k=0}^{I}\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left(n/3^{k}\right),3\right)\right|\right)

0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26

0,1,0,1,2,1,0,1,0,1,2,1,2,3,2,1,2,1,0,1,0,1,2,1,0,1,0

O=84.406022589954030768899117092091000289089388918088900852079

U=3

T=3.1261489848131122506999672997070740847810884784477370685955185

\Lambda\left(x\right)=\operatorname{abs}(\operatorname{mod}(x/2-.5,1)-.5)*2

\Pi\left(x\right)=-\cos(\pi*x)/2+.5

\Omega\left(x\right)=(-1)^{\operatorname{floor}((x-.5)/1)}\cdot(1-\operatorname{abs}(\operatorname{mod}((x-.5)*2,2)-1)^{2})^{(1/2)}/2+.5

\Theta\left(x\right)=(-(0-(-1)^{\operatorname{floor}(x/1+.0)}(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))/(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))+\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1)))))))+(-1)^{\operatorname{floor}(x/1+.0)}(\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1)))))/(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))+\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1))))))))/2+.5)

M=3

\Lambda\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Lambda\left(x\right)

\Pi\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Pi\left(x\right)

\Omega\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Omega\left(x\right)

\Theta\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Theta\left(x\right)

A=0

V=0

W=13

\operatorname{tone}\left(\frac{1}{O}\cdot U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}},\frac{\Pi\left(\frac{T}{O}\cdot3^{3}\right)}{3^{3}}\right)

I=16

O=16

\left[F\left(\left{j\le i:\frac{\frac{\sqrt{O}}{2}\cos\left(\frac{\pi}{O}\right)}{3\left(i+1\right)}f\left(\operatorname{mod}\left(Ot,1\right)\right)+\left(\sqrt{O}\left(\frac{j}{i+1}-\frac{1}{2}\right),\frac{\sqrt{O}}{2}\cot\left(\frac{\pi}{O}\right)\left(\frac{2}{i+1}-1\right)\right)\right},\frac{\operatorname{floor}\left(Ot\right)}{O}\right)\operatorname{for}\ i=\left[1...I\right],j=\left[1...I\right]\right]\sin\left(\frac{\pi}{O}\right)

f\left(t\right)=\left(\cos\left(\tau t\right),\sin\left(\tau t\right)\right)

F\left(T,t\right)=\left(f\left(t\right).xT.x-f\left(t\right).yT.y,f\left(t\right).yT.x+f\left(t\right).xT.y\right)

\Lambda=\operatorname{rgb}\left(0,244,124\right)

I=27

O=4

\left[F\left(\left{j\le i:\frac{1}{15\left(i+1\right)}f\left(\operatorname{mod}\left(Ot,1\right)\right)+\left(\sqrt{O}\left(\frac{j}{i+1}-\frac{1}{2}\right),1\left(\frac{2}{i+1}-1\right)\right)\right},\frac{\operatorname{floor}\left(Ot\right)}{O}\right)\operatorname{for}\ i=\left[1...I\right],j=\left[1...I\right]\right]

f\left(t\right)=\left(\cos\left(\tau t\right),\sin\left(\tau t\right)\right)

F\left(T,t\right)=\left(f\left(t\right).xT.x-f\left(t\right).yT.y,f\left(t\right).yT.x+f\left(t\right).xT.y\right)

\Lambda=\operatorname{rgb}\left(0,244,124\right)

\left[V\cdot U^{A}...W\cdot U^{A}\right]

\frac{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}{O}

\frac{O}{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}

\frac{299792458*O}{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}

O=84.406022589954030768899117092091000289089388918088900852079

\operatorname{tone}\left(\frac{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}{O},\frac{1}{3^{3}}\right)

V=0

W=14

I=2

A=0

U=3

  𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠   2224aba9021ↄ-4fad-0814-aმԐb-8b49ਟd9b\noitavirɘb-ɘlaↄƨ-ɘviƨnɘhɘrqmoↄ-a-ɘmit-ɘuqinu-nwo-htiw-ɘƨrɘvinu-laↄiƨyhq-ɘht-ϱniqqam\𝼃raqƨ\Ԑ44:ia.𝼃raqƨnɘϱ.www\:ƨqtth\9Ԑ-91Ԑ1-მ270-ਟ202\fɘr\ϽT.OYꓨ\:ꟼTTH HTTP://GYO.TC/ref/2025-0726-1319-39/https://www.genspark.ai:443/spark/mapping-the-physical-universe-with-own-unique-time-a-comprehensive-scale-derivation/d9b594d8-d36a-4180-baf4-c1209ada4222 1dbb17daɘਟ44-81b9-79ɘ4-მԐმਟ-8Ԑਟ72Ԑa1=bi?𝼃raqƨ\Ԑ44:ia.𝼃raqƨnɘϱ.www\:ƨqtth\82-9ਟ40-82მ0-ਟ202\fɘr\ϽT.OYꓨ\:ꟼTTH HTTP://GYO.TC/ref/2025-0628-0459-28/https://www.genspark.ai:443/spark?id=1a327538-5636-4e97-9d18-445eab71ddb1 ⅃MTH.⅃ᗡxᗡoმb⅃ꟻꞰdUɘЯmᗡUXiਟrᗺƨ⅃u𝼃9\lru-trohƨ\ƨbaolqu\tɘn.ɘrutuflatↄarf.murof\:ƨqtth\9ਟ1141-01.10.მ202\Hꟼ.ƎVIHϽЯA\:ꟼTTH HTTP://ARCHIVE.PH/2026.01.10-141159/https://forum.fractalfuture.net/uploads/short-url/9kuLsBr5iXUDmReUbKFLd6oDxDL.HTML 1dbb17daɘਟ44-81b9-79ɘ4-მԐმਟ-8Ԑਟ72Ԑa1=bi?𝼃raqƨ\Ԑ44:ia.𝼃raqƨnɘϱ.www\:ƨqtth\82-9ਟ40-82მ0-ਟ202\fɘr\ϽT.OYꓨ\:ꟼTTH HTTP://GYO.TC/ref/2025-0628-0459-28/https://www.genspark.ai:443/spark?id=1a327538-5636-4e97-9d18-445eab71ddb1 2224aba9021ↄ-4fad-0814-aმԐb-8b49ਟd9b\noitavirɘb-ɘlaↄƨ-ɘviƨnɘhɘrqmoↄ-a-ɘmit-ɘuqinu-nwo-htiw-ɘƨrɘvinu-laↄiƨyhq-ɘht-ϱniqqam\𝼃raqƨ\Ԑ44:ia.𝼃raqƨnɘϱ.www\:ƨqtth\9Ԑ-91Ԑ1-მ270-ਟ202\fɘr\ϽT.OYꓨ\:ꟼTTH HTTP://GYO.TC/ref/2025-0726-1319-39/https://www.genspark.ai:443/spark/mapping-the-physical-universe-with-own-unique-time-a-comprehensive-scale-derivation/d9b594d8-d36a-4180-baf4-c1209ada4222   𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◦୦◦◯◦୦◦⠀       ⠀◦୦◦◯◦୦◦ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠   ⠿⠿ Y_{66}+\frac{3}{2\sqrt{3}}=-\frac{\sin(\pi*\left(X_{66}-\frac{1}{2}\right)*\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]})/\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]}\left{-\frac{1}{2}<X_{66}<\frac{1}{2}\right}}{\sqrt{3}\pi}

Y_{66}+\frac{3}{2\sqrt{3}}=\frac{\sin(\pi*\left(X_{66}-\frac{1}{2}\right)*\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]})/\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]}\left{-\frac{1}{2}<X_{66}<\frac{1}{2}\right}}{\sqrt{3}\pi}

Y_{66}=-x\sin A_{66}+y\cos A_{66}

X_{66}=x\cos A_{66}+y\sin A_{66}

A_{66}=\frac{90\pi}{180}

H=\operatorname{rgb}\left(0,244,124\right)

X=\operatorname{rgb}\left(255,11,131\right)

y=\frac{\left(.5-.5\cos(\pi*x\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<x<1\right}

y=-\frac{\left(.5-.5\cos(\pi*x\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<x<1\right}

x=\frac{\left(.5-.5\cos(\pi*y\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<y<1\right}

x=-\frac{\left(.5-.5\cos(\pi*y\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<y<1\right}

y=-\frac{\sin(\pix3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<x<1\right}}{\pi}

y=\frac{\sin(\pix3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<x<1\right}}{\pi}

x=-\frac{\sin(\piy3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<y<1\right}}{\pi}

x=\frac{\sin(\piy3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<y<1\right}}{\pi}

I=3

I=\left[2...3\right]

\Phi_{0}\left(x\right)=\frac{\max\left(x,0\right)^{8}}{8!}

\Phi_{1}\left(x\right)=I^{1}\left(\Phi_{0}\left(x\right)-\Phi_{0}\left(x-I^{-1}\right)\right)

\Phi_{2}\left(x\right)=I^{2}\left(\Phi_{1}\left(x\right)-\Phi_{1}\left(x-I^{-2}\right)\right)

\Phi_{3}\left(x\right)=I^{3}\left(\Phi_{2}\left(x\right)-\Phi_{2}\left(x-I^{-3}\right)\right)

\Phi_{4}\left(x\right)=I^{4}\left(\Phi_{3}\left(x\right)-\Phi_{3}\left(x-I^{-4}\right)\right)

\Phi_{5}\left(x\right)=I^{5}\left(\Phi_{4}\left(x\right)-\Phi_{4}\left(x-I^{-5}\right)\right)

\Phi_{6}\left(x\right)=I^{6}\left(\Phi_{5}\left(x\right)-\Phi_{5}\left(x-I^{-6}\right)\right)

\Phi_{7}\left(x\right)=I^{7}\left(\Phi_{6}\left(x\right)-\Phi_{6}\left(x-I^{-7}\right)\right)

\Phi_{8}\left(x\right)=I^{8}\left(\Phi_{7}\left(x\right)-\Phi_{7}\left(x-I^{-8}\right)\right)

O\left(x\right)=\Phi_{8}\left(\frac{\left(x-I^{-9}\right)}{I-1}\right)

A\left(x\right)=1/(\exp\left(1/x+1/(x-1))+1)\right)

I=9

\sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum_{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum_{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum_{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod_{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\Xi=\operatorname{rgb}\left(0,244,124\right)

\Theta=\operatorname{rgb}\left(255,255,255\right)

H=\operatorname{rgb}\left(0,255,255\right)

\Phi\left(x\right)=x-\operatorname{floor}\left(x\right)

O=3

\left(1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\min\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{2\cdot3^{2}}\right)\right)+1\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

1-\prod_{I=0}^{0}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

\Phi\left(x\right)=x-\operatorname{floor}\left(x\right)

\Xi=\operatorname{rgb}\left(0,244,124\right)

O=3

1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

\min\left(1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right),1-\prod_{I=0}^{0}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

\min\left(1-\prod_{I=0}^{3}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right),1-\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{3}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{3}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

C\left(x,A,M\right)=\max(A,\min(M,x))

\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}

\Phi_{1}\left(x\right)=0.5-0.5*\cos(x*\pi)

\Phi_{2}\left(x\right)=\operatorname{round}(\Phi_{1}(x)*3)/3

\Phi_{3}\left(x\right)=((((.5-.5*(\cos(C(x,0,\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})\frac{\pi}{\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}}))))))/3

\Phi_{4}\left(x\right)=(((((.5-.5*(\cos((C(x,\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi},1-\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})-(\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}))\ \frac{\pi}{(1-2\cdot\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})}))))))/3)+1/3

\Phi_{5}(x)=(((((.5-.5*(\cos((C(x,1-\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi},1)-(\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})-(1-2\cdot\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}))\frac{\pi}{\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}}))))))/3)+1/3+1/3

\Phi_{6}\left(x\right)=\Phi_{3}\left(x\right)+\Phi_{4}\left(x\right)+\Phi_{5}\left(x\right)-1

I\left(x\right)=(-1)^{\operatorname{floor}(x)}\cdot(\Phi_{6}(\operatorname{mod}(x/1,1))-.5)+.5

C\left(x,A,I\right)=\max(A,\min(I,x))

\Phi_{1}=0.25

\Phi_{2}\left(x\right)=C(\Phi_{1}\left(x\right)*(1-((C(x,(1-\Phi_{1}(x)),1)-1)/\Phi_{1}(x))^{2})^{(1/2)}+(1-\Phi_{1}(x)),0,1)

\Phi_{3}\left(x\right)=(1-\Phi_{1}(x))*(1-(1-(C(x,0,(1-\Phi_{1}(x)))/(1-\Phi_{1}(x)))^{2})^{(1/2)})

\Phi_{4}\left(x\right)=\Phi_{2}(x)+\Phi_{3}(x)-(1-\Phi_{1}(x))

V\left(x\right)=(-1)^{\operatorname{floor}(x)}*(\Phi_{4}(\operatorname{mod}(x/1,1))-.5)+.5\ \ \ \ -\ \ \ \ 0

H\left(x\right)=\Phi_{4}(\operatorname{mod}(x,1))\operatorname{mod}\left(\operatorname{floor}(x+1),2\right)+\Phi_{4}(1-\operatorname{mod}(x,1))\operatorname{mod}\left(\operatorname{floor}(-x+1),2\right)\ \ \ \ -\ \ \ \ 1

\sin(x4\arctan(1)/2)

\left(-1\right)^{\operatorname{round}\left(\frac{x+1}{2}\right)}\left(\left(\operatorname{mod}\left(x+2,2\right)-1\right)^{2}-1\right)

\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\sqrt{1-\left(\operatorname{mod}\left(x,2\right)-1\right)^{2}}

\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\left(2-\sqrt{3\left(\operatorname{mod}\left(x,2\right)-1\right)^{2}+1}\right)

-\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\left(\cosh\left(\cosh^{-1}\left(2\right)\left(\operatorname{mod}\left(x,2\right)-1\right)\right)-2\right)

-\left(-\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}+.5\right)}\left(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))/(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))+\exp(-1/(1-\operatorname{mod}\left(\frac{x}{2}+.5,1\right))))\right)+\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}+.5\right)}\left(\exp(-1/\operatorname{mod}\left(-\frac{x}{2}+.5,1\right))/(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))+\exp(-1/(1-\operatorname{mod}\left(\frac{x}{2}+.5,1\right))))\right)\right)

\left(\sin\left(x\right)\right)^{\frac{1}{2n+1}}

n=3

\left(1-\left(-x+1\right)^{n}\right)^{\frac{1}{n}}

n=2