f(x,y), I(u,v) - [b]I[/b]sometric [b]C[/b]oordinate [b]S[/b]ystem[br]XGrid - Vertices in ICS [br]XGrid={(0,0), (1,-1), (1,-3/2), (2,-2), (5/2,-3), (2,-3), (3/2,-5/2), (1,-3), (0,-5/2), (0,-2), (-1/2,-3/2), (0,-1), (-1/2,0)}[br]YGrid - Reflected vertices in ICS [br]YGrid={(0,0), (-1,1), (-3/2,1), (-2,2), (-3,5/2), (-3,2), (-5/2,3/2), (-3,1), (-5/2,0), (-2,0), (-3/2,-1/2), (-1,0), (0,-1/2)}[br]XFig, YFig - Vertices in Cartesian Coordinates[br][br]D + reflected vertices rotate angle 210°[br]Fig_D=Polygon(D + Rotate(YFig, 210°))[br]
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[/img][br]Abzählen der Koordinaten I(2,-4), I(1.5,-3)[br][br]CAS Input[br][i]I(u,v):=u (cos(30°), sin(30°)) + v (cos(-30°), sin(-30°))[/i][i][br][br]pos:={(0,0), I(4, -2), I(2, -4), I(1.5, -3), I(0.5, -2.5), I(0, -1.5), I(0.5, -1)}[/i][br][math]pos \, := \, \left\{ \left(0,\;0 \right), \left(\sqrt{3},\;3 \right), \left(-\sqrt{3},\;3 \right), \left(-3 \cdot \frac{\sqrt{3}}{4},\;\frac{9}{4} \right), \left(-\sqrt{3},\;\frac{3}{2} \right), \left(-3 \cdot \frac{\sqrt{3}}{4},\;\frac{3}{4} \right), \left(\frac{-\sqrt{3}}{4},\;\frac{3}{4} \right) \right\} [/math][br][br][i]neg:={(0,0), I(4, -2), I(2, -4), I(1.5, -3), I(2, -2.5), I(1.5, -1.5), I(0.5, -1)}[/i][br][math]neg \, := \, \left\{ \left(0,\;0 \right), \left(\sqrt{3},\;3 \right), \left(-\sqrt{3},\;3 \right), \left(-3 \cdot \frac{\sqrt{3}}{4},\;\frac{9}{4} \right), \left(\frac{-\sqrt{3}}{4},\;\frac{9}{4} \right), \left(0,\;\frac{3}{2} \right), \left(\frac{-\sqrt{3}}{4},\;\frac{3}{4} \right) \right\} [/math][br][br]Construction of Polygons with move points Pos2/Neg1[br][br][i]Polygon(Pos2 + pos)[br][/i][i]Polygon(Neg1 + neg)[/i][br][i]Polygon(Nev2 + neg (-1))[/i][br][br]-- [br][br]AlgebraView[br][i]f(u,v)=Surface(u (cos(30°), sin(30°)) + v (cos(-30°), sin(-30°)), u, -10, 10, v, -10, 10)[/i][i][br][/i]f - KO grid u,v ∈ [-10,10][i][br][br]posf:={(0,0), f(4, -2), f(2, -4), f(1.5, -3), f(0.5, -2.5), f(0, -1.5), f(0.5, -1)}[/i][br]vertices/Eckpunkte der Figur[br][br]Rotate 180°: [i]pos*(-1), neg*(-1)[/i][br]Rotate 90°: [i]ApplyMatrix({{1, 0}, {0, -1}}, neg)[/i][br]....[br][br][url=https://www.geogebra.org/calculator?command=I=Surface(u (cos(30°),sin(30°))%2Bv (cos(-30°),sin(-30°)),u,-10,10,v,-10,10);pos={(0,0),I(4,-2),I(2,-4),I(1.5,-3),I(0.5,-2.5),I(0,-1.5),I(0.5,-1)};neg={(0,0),I(4,-2),I(2,-4),I(1.5,-3),I(2,-2.5),I(1.5,-1.5),I(0.5,-1)};A=(0,3);B=(-1.76,5.98);poly1=Polygon(A%2Bpos);poly2=Polygon(B%2Bneg (-1))]www.geogebra.org/calculator[/url][math]\nearrow[/math][br]