Tetraeder - Lage

[table][tr][td][url=https://www.geogebra.org/m/y9cj4aqt#material/bwbeur6z][img]data:image/png;base64,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[/img][/url][/td][td] [size=50]Diese Aktivität ist eine Seite des [color=#980000][b]geogebra-books[/b][/color] [br] [color=#0000ff][u][b][/b][/u][/color][url=https://www.geogebra.org/m/nzfg796n][color=#0000ff][u][b]Elliptische Funktionen & Bizirkulare Quartiken & ...[/b][/u][/color][/url] ([color=#ff7700][i][b]05.02.2023[/b][/i][/color])[/size][/td][/tr][/table]
[size=85]In der [b][i][color=#38761d]Tetraeder-Lage[/color][/i][/b] - [math]J_{abs}=-1[/math] - liegen die [b][i][color=#00ff00]Brennpunkte[/color][/i][/b] bei [b][i]jeder[/i][/b] Aufteilung in [b][color=#cc0000]2[/color][/b] [b][i][color=#00ff00]Punkte-Paare[/color][/i][/b] jeweils [br][b][i][color=#bf9000]spiegelbildlich[/color][/i][/b] auf [b][color=#cc0000]2[/color][/b] [b][i][color=#0000ff]orthogonalen[/color][/i][/b] [b][i][color=#ff0000]Kreisen[/color][/i][/b]. Zu jeder dieser Aufteilungen gehört eine Schar [b][i][color=#38761d]konfokaler[/color][/i][/b] [b]1-teiliger[/b][br][i][b][color=#ff7700]bizirkularer Quartiken[/color][/b][/i]. Durch jeden [b][i][color=#ff0000]Punkt[/color][/i][/b] der Ebene (von den [b][i][color=#00ff00]Brennpunkten[/color][/i][/b] abgesehen) gehen [b][color=#cc0000]6[/color][/b] dieser [b][i][color=#ff7700]Quartiken,[/color][/i][/b][br]sie schneiden sich unter Vielfachen von 60°. Es liegt also ein [b][i][color=#9900ff]hexagonales Netz[/color][/i][/b] aus [b][i][color=#ff7700]bizirkularen Quartiken[/color][/i][/b] vor.[br]Leider ist die Darstellung dieses [b][i][color=#9900ff]Netzes[/color][/i][/b] durch Listen von [b][i]impliziten Kurven[/i][/b] in geogebra zu aufwändig und hätte [br]für eine Aktivität sehr lange Ladezeiten zur Folge.[br]Die beim Start angezeigten [b][i][color=#ff7700]Quartiken[/color][/i][/b] sind [b]CASSINI[/b]-[b][i][color=#ff7700]Quartiken[/color][/i][/b].[/size]
[table][tr][td][img]data:image/png;base64,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[/img][/td][td][size=85]Wäre die zur obigen [color=#9900ff][i][b]elliptischen Differentialgleichung[/b][/i][/color] [br]gehörende [color=#38761D][i][b]elliptische Funktion[/b][/i][/color] in [color=#980000][i][b]ge[icon]https://www.geogebra.org/images/ggb/toolbar/mode_sphere2.png[/icon]gebra[/b][/i][/color] [br]implementiert, so könnte man die [color=#ff7700][i][b]bizirkularen [br]Lösungskurven[/b][/i][/color] einfach mit Hilfe eines [br][b][i][color=#f1c232]hexagonalen[/color][/i][/b] [color=#7F6000][i][b]Gittergewebes[/b][/i][/color] darstellen[/size].[/td][/tr][/table]

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