Python&R: Topologyを学ぶ, synfig ver. 2

I.何をする

 

Topologyの磯を理解し、PythonとRでTopological Data Analysisを実行します。

Topologyのアイデアは、 Königsbergの7つの橋をすべてを一度だけ渡ることができるかについての、Leonhard Eulerの解決(1736年)にまでさかのぼると言われています。

 

https://en.wikipedia.org/wiki/Seven_Bridges_of_K%C3%B6nigsberg#/media/File:Konigsberg_bridges.png

 

要は次のように、3のエッジのあるノード3つと5つのエッジのあるノートが1つの関係を考えればよいです。

次は、Synfigで作成しました。まだ使い慣れないためか、繰り返し設定だと、なぜか中央のエッジが先に消えしまいます。

 

via GIPHY

 

II.Topologyとは

 

カップとドーナツとを同じと考えると、、、

 

Mug and Torus morph 

https://en.wikipedia.org/wiki/File:Mug_and_Torus_morph.gif#file

 

次に解説されています。

 

What is Topology?

 

 to be continued

About shibatau

I was born and grown up in Kyoto. I studied western philosophy at the University and specialized in analytic philosophy, especially Ludwig Wittgenstein at the postgraduate school. I'm interested in new technology, especially machine learning and have been learning R language for two years and began to learn Python last summer. Listening toParamore, Sia, Amazarashi and MIyuki Nakajima. Favorite movies I've recently seen: "FREEHELD". Favorite actors and actresses: Anthony Hopkins, Denzel Washington, Ellen Page, Meryl Streep, Mia Wasikowska and Robert DeNiro. Favorite books: Fyodor Mikhailovich Dostoyevsky, "The Karamazov Brothers", Shinran, "Lamentations of Divergences". Favorite phrase: Salvation by Faith. Twitter: @shibatau

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