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‎content/posts/Seraph.md‎

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date = '2026-02-22T14:11:29+02:00'
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draft = true
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title = 'Seraph'
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description = ''
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thumbnail = '/images/Seraph.svg'
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# showThumbnail = false
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tags = ['Complex Numbers','Grid Transformation']
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# coauthors = [
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# { name = 'Jane Doe', link = 'mailto:jane@example.com' },
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# ]
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"שְׂרָפִ֨ים עֹמְדִ֤ים ׀ מִמַּ֙עַל֙ ל֔וֹ שֵׁ֧שׁ כְּנָפַ֛יִם שֵׁ֥שׁ כְּנָפַ֖יִם לְאֶחָ֑ד בִּשְׁתַּ֣יִם ׀ יְכַסֶּ֣ה פָנָ֗יו וּבִשְׁתַּ֛יִם יְכַסֶּ֥ה רַגְלָ֖יו וּבִשְׁתַּ֥יִם יְעוֹפֵֽף׃
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`"
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We define a grid by
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$$P=\set{0.01(x+iy)\in\mathbb C\mid (x\in\mathbb Z\vee y\in\mathbb Z) ,200\le x,y\le200}.$$
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Then we define a complex function,
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$$f : P \subseteq \mathbb C \longrightarrow \mathbb C $$
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where,
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$$f(z)= iz\sqrt i \ \mathrm{mod}(3,z)$$
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So, our graph is the image of this function.
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In other words,
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$$G=f(P).$$
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{{< video src="/videos/Seraph.mp4" width="75" >}}

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