[size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=50][size=50][right]Diese Seite ist Teil des [color=#980000][i][b]GeoGebra-Books[/b][/i][/color][u][color=#0000ff][b] [url=https://www.geogebra.org/m/kCxvMbHb]Moebiusebene[/url][/b][/color][/u]. [color=#ff7700][b](02. Oktober. 2022)[/b][/color][/right][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][size=85]Das [color=#9900ff][i][b]6-Eck-Netz[/b][/i][/color] des obigen Applets besitzt eine spezielle und außergewöhnliche Eigenschaft:[br][br]Die [color=#0000ff][i][b]Doppelverhältnisse[/b][/i][/color] von je [color=#cc0000][b]4[/b][/color] benachbarten [color=#ff0000][i][b]Punkten[/b][/i][/color] sind identisch![br]Diese etwas vekürzte Aussage werden wir unten erläutern, zunächst eine kurze Erklärung zum Applet:[br]Erstellt wurde es offline mit [color=#980000][i][b]geogebra[/b][/i][/color] [i][b]classic 5.[/b][/i] Das in [b]CAS[/b] erklärte [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color] von [color=#cc0000][b]4[/b][/color] [color=#ff0000][b][i]komplexen Punkten[/i][/b][/color],[br]- eine komplexe Funktion mit 4 Variablen - wird offline problemlos berechnet, siehe die Bildschirm-Kopien unten.[br]Das [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color] von [color=#cc0000][b]4[/b][/color] [color=#ff0000][i][b]Punkten[/b][/i][/color] ist genau dann reell, wenn die [color=#ff0000][i][b]Punkte[/b][/i][/color] auf einem [color=#ff0000][i][b]Kreis[/b][/i][/color] liegen; [br]die kleinen nicht-reellen Anteile sind Rundungsfolgen.[br]Dass das Applet [b]online[/b] alle [color=#0000ff][i][b]Doppelverhältnisse[/b][/i][/color] - auch die definierte Funktion - auf [color=#cc0000][b]0[/b][/color] setzt, können wir uns nicht erklären. [br]Zwischendurch wurden die Berechnungen angezeigt - nach dem refresh-Button(?) - dann wieder nicht![br]Ein Klick in die [b]CAS[/b]-Zeile 1 kann auch wirken![br]Gezeigt wird im Applet ein Ausschnitt einer [color=#cc0000][b]2[/b][/color]-teiligen [color=#ff7700][i][b]bizirkularen Quartik[/b][/i][/color], einige der [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreise[/b][/i][/color][br]und die zugehörigen [color=#0000ff][i][b]Leitkreise[/b][/i][/color]. Durch jeden [color=#ff0000][i][b]Punkt[/b][/i][/color] aus dem Bereich zwischen den [color=#ff7700][i][b]Quartik[/b][/i][/color]-Teilen gehen aus jeder der [br][color=#cc0000][b]3[/b][/color] in Frage kommenden [color=#ff0000][i][b]Kreis-Scharen[/b][/i][/color] genau [color=#cc0000][b]2[/b][/color] [color=#ff0000][i][b]Kreise[/b][/i][/color]. Daraus kann man [color=#cc0000][b]2[sup]3[/sup][/b][/color] = [color=#cc0000][b]8[/b][/color] verschiedene [color=#9900ff][i][b]6-Eck-Netze[/b][/i][/color] aufbauen.[br][color=#cc0000][u][i][b]Spezielle Eigenschaft des obigen Netzes:[/b][/i][/u][/color][br][list][*]Für das oben erzeugte [color=#9900ff][i][b]Netz[/b][/i][/color] liegen die den [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreisen[/b][/i][/color] durch einen [color=#ff0000][i][b]Punkt[/b][/i][/color] zugeordneten [color=#00ffff][i][b]Punkte[/b][/i][/color][br]auf den [color=#0000ff][i][b]Leitkreisen[/b][/i][/color] und der [color=#ff0000][i][b]Punkt[/b][/i][/color] selber jeweils auf einen [color=#85200C][i][b]Kreis[/b][/i][/color].[br] [color=#cc0000][i][b]2[/b][/i][/color] der [color=#cc0000][b]8[/b][/color] [color=#9900ff][i][b]Netze[/b][/i][/color] besitzen diese Eigenschaft.[/*][/list]Siehe dazu auch die vorhergehende Aktivität: [math]\hookrightarrow[/math] [url=https://www.geogebra.org/m/kCxvMbHb#material/nnmucnyp][color=#0000ff][u][i][b]Endliche 6-Eck-Netze aus Kreisen[/b][/i][/u][/color][/url], in welcher die Eigenschaft angezeigt wird. [br][br][table][tr][td][img]data:image/png;base64,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[/img][/td][td][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]Die beiden Berechnungen sind für verschiedene Lagen der Punkte [color=#ff0000][b]p[sub]0[/sub][/b][/color] und [color=#ff0000][b]p[sub]1[/sub][/b][/color] durchgeführt worden![/size]

[size=85]Betrachtet man die unterschiedlichen Beispiele von [color=#9900ff][i][b]6-Eck-Netzen[/b][/i][/color] aus [color=#ff0000][i][b]Kreisen[/b][/i][/color], so fällt eine Art Gleichmäßigkeit[br]in der Lage der [color=#ff0000][i][b]Punkte[/b][/i][/color] auf den [color=#ff0000][i][b]Kreisen[/b][/i][/color] und auf den [color=#0000ff][i][b]Leitkreisen[/b][/i][/color] auf (sofern sie eine Rolle spielen). [br]Es ist leicht zu erkennen, dass für [color=#9900ff][i][b]6-Eck-Netze[/b][/i][/color] aus [b]3[/b] [color=#ff0000][b]Geradenbüschel[/b][/color] [color=#cc0000][b]4[/b][/color] benachbarte [color=#ff0000][i][b]Punkte[/b][/i][/color] auf den [color=#ff0000][i][b]Geraden[/b][/i][/color] [br]stets dasselbe [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color] besitzen.[br]Wir haben die Vermutung, dies könne generell für [color=#9900ff][i][b]6-Eck-Netze[/b][/i][/color] gelten, zunächst an obigem Beispiel getestet und [br]die oben angezeigte erstaunliche "Bestätigung" gefunden. Das Beispiel ist, soweit wir sehen, jedoch eine seltene[br]Ausnahme. Schon bei [color=#9900ff][i][b]6-Eck-Netzen[/b][/i][/color] aus den [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#999999][i][b]Kreisen[/b][/i][/color] einer [color=#cc0000][b]2[/b][/color]-teiligen [color=#ff7700][i][b]bizirkularen Quartik[/b][/i][/color],[br]welche die oben beschriebene spezielle Eigenschaft [i][b]nicht[/b][/i] besitzen, erweist sich die Vermutung als unzutreffend.[br]Auch für die in der Aktivitäten [math]\hookrightarrow[/math] [url=https://www.geogebra.org/m/kCxvMbHb#material/ce9zgxhy][color=#0000ff][u][i][b]Andere 6-Eck-Netze[/b][/i][/u][/color][/url] und [math]\hookrightarrow[/math] [color=#0000ff][u][i][b][url=https://www.geogebra.org/m/kCxvMbHb#material/fpasjavn]Ellipsen & 6-Eck-Netze[/url][/b][/i][/u][/color] aus Kreisen aufgezählten [br][color=#9900ff][i][b]6-Eck-Netze[/b][/i][/color] fand sich keine Bestätigung der Vermutung: [br]die [color=#0000ff][i][b]Doppelverhältnisse[/b][/i][/color] variieren teilweise sehr von[color=#ff0000][i][b] Punkte[/b][/i][/color]-[i]Quatrupel[/i] zu [color=#ff0000][b][i]Punkte[/i][/b][/color]-[i]Quatrupel[/i].[br]Daher ist das oben gefundene Beispiel umso bemerkenswerter: [br][color=#cc0000][b]4[/b][/color] benachbarte [color=#9900ff][i][b]Netz[/b][/i][/color]-[color=#ff0000][i][b]Punkte[/b][/i][/color] auf jedem der [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreise[/b][/i][/color], [br][color=#cc0000][b]4[/b][/color] benachbarte, den [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreisen[/b][/i][/color] zugeordnete [color=#00ffff][i][b]Punkte[/b][/i][/color] auf den [color=#0000ff][i][b]Leitkreisen[/b][/i][/color] besitzen stets[br]dasselbe [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color]![br]Gemeint ist das [color=#9900ff][i][b]Netz[/b][/i][/color], welches entsteht, wenn man von [color=#cc0000][b]2[/b][/color] [color=#ff0000][i][b]Punkten[/b][/i][/color] [color=#ff0000][b]p[sub]0[/sub][/b][/color], [color=#ff0000][b]p[sub]1[/sub][/b][/color] auf einem der [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreise[/b][/i][/color][br]ausgehend, das [color=#ff7700][i][b]Gewebe[/b][/i][/color] der [color=#ff0000][i][b]Kreise[/b][/i][/color] und [color=#ff0000][i][b]Schnittpunkte[/b][/i][/color] unter den genannten Bedingungen schrittweise konstruiert.[/size]

[size=85]Diesmal wurde das [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color] nicht Null-gesetzt![/size][size=85] (??) Doch, beim [color=#980000][i][b]Neusta[/b][/i][/color][/size][size=85][color=#980000][i][b]rt[/b][/i][/color], manchmal hilft der [color=#666666][i][b]refresh-button[/b][/i][/color].[/size][br][i][size=85][size=50]Siehe auch das Bildschirmbild unten.[/size][/size][/i][br][size=85]Wir bewerten dieses Ergebnis als so bemerkenswert, dass wir es noch einmal mit vergrößertem [color=#9900ff][i][b]Netz[/b][/i][/color] anzeigen! [/size][br][size=85][br][color=#cc0000][u][i][b]Zusammengefasst:[/b][/i][/u][/color] benachbarte [color=#cc0000][b]4[/b][/color] [color=#ff0000][i][b]Punkte[/b][/i][/color] auf den [color=#999999][i][b]doppelt-berührenden[/b][/i][/color] [color=#ff0000][i][b]Kreisen[/b][/i][/color], für jede der [color=#cc0000][b]3[/b][/color] [color=#BF9000][i][b]Symmetrieen[/b][/i][/color],[br]benachbarte [color=#cc0000][i][b]4[/b][/i][/color] [color=#ff0000][i][b]Punkte[/b][/i][/color] auf jedem der [color=#cc0000][i][b]3[/b][/i][/color] [color=#0000ff][i][b]Leitkreise[/b][/i][/color] besitzen dasselbe [color=#0000ff][i][b]Doppelverhältnis[/b][/i][/color], sofern die Reihenfolge stimmt,[br]und sofern die oben genannte [color=#cc0000][u][i][b]spezielle Eigenschaft des [color=#9900ff]Netzes[/color][/b][/i][/u][/color] vorliegt.[br][br][table][tr][td]Falls wieder alle Egebnisse[br]auf [b]Null[/b] gesetzt wurden!![br][/td][td][img]data:image/png;base64,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[/img][/td][td]Die [color=#ff0000][i][b]Punkte[/b][/i][/color] liegen im linken [br]oberen Drittel des [color=#9900ff][i][b]Netzes[/b][/i][/color]![/td][/tr][/table][/size]