Cassini Tetraeder

[b][color=#ff0000][i][size=50][right]Sorry, lange Ladezeiten: es werden viele Ortskurven berechnet und angezeigt![/right][/size][/i][/color][/b]
[right][size=85][size=85][size=85][size=50][size=50][i][b][size=50]Diese Aktivität ist eine Seite des [color=#980000]geogebra-books[/color] [url=https://www.geogebra.org/m/xtueknna][color=#0000ff][u]geometry of some complex functions[/u][/color][/url] [color=#ff7700](Dezember 2021)[/color][/size][/b][/i][/size][/size][/size][/size][/size][/right][size=85]Das Applet zeigt [i][b]spezielle Lösungskurven[/b][/i] der [color=#9900ff][i][b]elliptischen Differentialgleichung[/b][/i][/color][br][/size][list][*][size=85][math]\left(g'\right)^2=c\cdot\left(g^4-2\cdot\sqrt{3}\cdot i\cdot g^2+1\right)[/math],[/size][/*][/list][size=85]deren [color=#00ff00][i][b]Brennpunkte[/b][/i][/color] (Nullstellen) [math]f,-f,\frac{1}{f},\frac{-1}{f}\mbox{ mit }f=\frac{1+\sqrt{3}}{2}\cdot\left(1+i\right)[/math] [color=#0000ff][i][b]möbiusgeometrisch[/b][/i][/color] die Ecken eines regulären [color=#6aa84f][i][b]Tetraeders[/b][/i][/color] sind.[br]Für [math]c=e^{i\cdot\varphi}[/math] mit [math]\varphi=k\cdot\frac{\pi}{6}\cong k\cdot30°,k=0,1,..,6[/math] sind die [i][b]Lösungskurven[/b][/i] geschlossene Kurven: 1-teilige [color=#ff7700][i][b]bizirkulare Quartiken[/b][/i][/color].[br]In jeder dieser Scharen von [i][b]Lösungskurven[/b][/i] liegt genau eine [color=#ff7700][i][b]Quartik[/b][/i][/color], welche [color=#0000ff][i][b]möbiusgeometrisch[/b][/i][/color] eine 1-teilige [b]CASSINI[/b]-Kurve ist.[br]Diese werden oben angezeigt![br]Durch jeden Punkt der Ebene gehen 6 [color=#ff7700][i][b]Quartiken[/b][/i][/color], die sich unter Vielfachen von 30° schneiden.[br]Je 4 [color=#ff7700][color=#000000][b]CASSINI[/b][/color][i][b]-Quartiken[/b][/i][/color] schneiden sich in den Punkten [math]0,1,i,-i,-1,\infty[/math], [br]die fehlenden [color=#ff7700][i][b]Quartiken[/b][/i][/color] sind doppelt-zählende [color=#BF9000][i][b]Symmetriekreise.[br][/b][/i][/color][br]2 der [i][b]CASSINI[/b][/i]-Kurven wurden im Applet mit Hilfe der [color=#0000ff][i][b]Leitkreise[/b][/i][/color] erzeugt, die übrigen wurden "konstruiert" [br]mittels der [color=#BF9000][i][b]Spiegelungen[/b][/i][/color] an den [color=#BF9000][i][b]Symmetriekreisen[/b][/i][/color]![br][br]Leider sind in [color=#1155Cc][i][b]ge[icon]/images/ggb/toolbar/mode_circle3.png[/icon]gebra[/b][/i][/color] überhaupt keine [color=#351C75][i][b]elliptischen Funktionen[/b][/i][/color] implementiert.[br][table][tr][td]Wäre die Lösungs-Funktion der obigen [color=#351C75][i][b][br]elliptischen Differentialgleichung[/b][/i][/color] implementiert, [br]so könnte man die geschlossenen [i][b]Lösungskurven[/b][/i] [br]einfach als Bild der Geraden [br]eines [color=#00ffff][i][b]hexagonalen Gitters[/b][/i][/color] [br]und deren Diagonalen darstellen![br][br][br][table][tr][td][/td][td][/td][/tr][/table][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][/size]
links
[size=50][size=50][color=#cc0000][i][b]geogebra-book[/b][/i][/color] [/size][b][size=50][color=#0000ff][b]Möbiusebene[/b][/color][/size][/b] [/size][size=50]Kap.: [color=#351C75][u][b][url=https://www.geogebra.org/m/kCxvMbHb#chapter/168947]Lage von 4 Punkten[/url][/b][/u][/color][br][/size][size=50][color=#cc0000][i][b]geogebra-book[/b][/i][/color] [color=#0000ff][b]Möbiusebene[/b][/color] Kap.:[color=#351C75][b] [url=https://www.geogebra.org/m/kCxvMbHb#chapter/168952]Quadratische Vektorfelder oder elliptische Funktionen[br][/url][/b][/color][color=#cc0000][i][b]geogebra-book:[/b][/i][/color] [color=#0000ff][b]conics bicircular-quartics Darboux-cyclides[/b][/color] Kap.: [url=https://www.geogebra.org/m/gz4cyje5#chapter/603410][color=#351C75][b][u]elliptic functions[/u][/b][/color][/url][br][/size][size=50][size=50][color=#cc0000][i][b]geogebra-book:[/b][/i][/color][/size]: [url=https://www.geogebra.org/m/fzq79drp][u][color=#20124D][b]Leitlinien und Brennpunkte (foci and directrices)[br][/b][/color][/u][/url][/size]

Information: Cassini Tetraeder