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幾何（今井 淳）
Showing the original Japanese · View translation
結び目にエネルギーを与えて、きれいな形を探す幾何学。
AboutAbout the lab
結び目のきれいな形を、数学で決める。
今井淳先生は、
ひもの
球面に
一般向けには
Key terms
- 結び
目 - ひもの
両端を つないで 輪に した もの。 切らずに 動かして 重ねられる 形は 同じと みなす - メビウス幾何学
- 球面に
関する 反転などで 変わらない 性質に 注目して、 図形を 捉える 幾何学 - ポテンシャル
- 位置に
よって 決まる エネルギーの 大きさを 表す量 - 正則化
- そのままでは
無限大に 発散してしまう 積分から、 意味の ある 有限の 値を 取り出す方 法
ResearchResearch themes
結び
*Illustrative image結び目のエネルギー
帯電した
*Illustrative image曲線・曲面のメビウス幾何学
メビウス変換で
*Illustrative imageポテンシャルと図形の中心
図形の
*Illustrative image部分多様体のエネルギー
ユークリッド空間の
MembersFaculty
- Professor今井 淳
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “(2,13)-Torus Knot” Bostelk2 / CC BY-SA 4.0 (cropped)
- 結び目の
エネルギー: “Versatackle Knot Step4” No machine-readable author provided. Starfoxy~commonswiki assumed (based on copyright claims). / CC BY-SA 3.0 (cropped) - 曲線・
曲面の メビウス幾何学: “Earth as riemann sphere large 500mio 254dpi” Rolf Böhm / CC0 (cropped) - ポテンシャルと
図形の 中心: “EB1911 - Geometry Fig. 9” 作者不詳 / Public domain (cropped) - 部分
多様体の エネルギー: “TorusSystoleLoop” RobHar / Public domain (cropped) - Related lab (幾何
（三田 史彦） ): “3D-Cylinder with handle and torus with hole” 作者不詳 / Public domain (cropped) - Related lab (代数
（佐藤 謙太） ): “Chatelet surface” Claudio Rocchini / CC BY-SA 3.0 (cropped) - Related lab (幾何
（二木 昌宏） ): “Expansion de l'univers dans une variété de Calabi-Yau” N738139 / CC0 (cropped) - Related lab (幾何
（梶浦 宏成） ): “Kleineigenspace” Joroco246 / CC BY-SA 4.0 (cropped)
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