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Question: How do I plot a sequence of arrows?

Question:How do I plot a sequence of arrows?

Ronan 1022 Maple 2018
plot sequence arrow
June 23 2018
0


I can't workout the syntax to plot a sequence of arrow. See last line of document.

accel := plottools:-arrow(seq([M[j, 1][1], M[j, 1][2]], [M[j, 3][1], M[j, 3][2]], j = 1 .. i), colour = red)  Doesn't work and tried various things.

Would also appreciate an explination for how the lines are plotted. I found this line on Maple Primes. It works but I don't realy understant it.

orb := plot(([seq])([M[j, 1][1], M[j, 1][2]], j = 1 .. i), colour = blue)

Why is seq in square brackets?

restart

with(plots)

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

 (1)

with(plottools)

[annulus, arc, arrow, circle, cone, cuboid, curve, cutin, cutout, cylinder, disk, dodecahedron, ellipse, ellipticArc, exportplot, extrude, getdata, hemisphere, hexahedron, homothety, hyperbola, icosahedron, importplot, line, octahedron, parallelepiped, pieslice, point, polygon, prism, project, rectangle, reflect, rotate, scale, sector, semitorus, sphere, stellate, tetrahedron, torus, transform, translate]

 (2)

M := Matrix(60, 3, {(1, 1) = Vector(2, {(1) = -3, (2) = 5}), (1, 2) = Vector(2, {(1) = -2, (2) = -2}), (1, 3) = Vector(2, {(1) = 0, (2) = 0}), (2, 1) = Vector(2, {(1) = -5, (2) = 3}), (2, 2) = Vector(2, {(1) = -1, (2) = -3}), (2, 3) = Vector(2, {(1) = 1, (2) = -1}), (3, 1) = Vector(2, {(1) = -6, (2) = 0}), (3, 2) = Vector(2, {(1) = 0, (2) = -3}), (3, 3) = Vector(2, {(1) = 1, (2) = 0}), (4, 1) = Vector(2, {(1) = -6, (2) = -3}), (4, 2) = Vector(2, {(1) = 1, (2) = -2}), (4, 3) = Vector(2, {(1) = 1, (2) = 1}), (5, 1) = Vector(2, {(1) = -5, (2) = -5}), (5, 2) = Vector(2, {(1) = 2, (2) = -1}), (5, 3) = Vector(2, {(1) = 1, (2) = 1}), (6, 1) = Vector(2, {(1) = -3, (2) = -6}), (6, 2) = Vector(2, {(1) = 3, (2) = 0}), (6, 3) = Vector(2, {(1) = 1, (2) = 1}), (7, 1) = Vector(2, {(1) = 0, (2) = -6}), (7, 2) = Vector(2, {(1) = 3, (2) = 1}), (7, 3) = Vector(2, {(1) = 0, (2) = 1}), (8, 1) = Vector(2, {(1) = 3, (2) = -5}), (8, 2) = Vector(2, {(1) = 2, (2) = 2}), (8, 3) = Vector(2, {(1) = -1, (2) = 1}), (9, 1) = Vector(2, {(1) = 5, (2) = -3}), (9, 2) = Vector(2, {(1) = 1, (2) = 3}), (9, 3) = Vector(2, {(1) = -1, (2) = 1}), (10, 1) = Vector(2, {(1) = 6, (2) = 0}), (10, 2) = Vector(2, {(1) = 0, (2) = 3}), (10, 3) = Vector(2, {(1) = -1, (2) = 0}), (11, 1) = Vector(2, {(1) = 6, (2) = 3}), (11, 2) = Vector(2, {(1) = -1, (2) = 2}), (11, 3) = Vector(2, {(1) = -1, (2) = -1}), (12, 1) = Vector(2, {(1) = 5, (2) = 5}), (12, 2) = Vector(2, {(1) = -2, (2) = 1}), (12, 3) = Vector(2, {(1) = -1, (2) = -1}), (13, 1) = Vector(2, {(1) = 3, (2) = 6}), (13, 2) = Vector(2, {(1) = -3, (2) = 0}), (13, 3) = Vector(2, {(1) = -1, (2) = -1}), (14, 1) = Vector(2, {(1) = 0, (2) = 6}), (14, 2) = Vector(2, {(1) = -3, (2) = -1}), (14, 3) = Vector(2, {(1) = 0, (2) = -1}), (15, 1) = Vector(2, {(1) = -3, (2) = 5}), (15, 2) = Vector(2, {(1) = -2, (2) = -2}), (15, 3) = Vector(2, {(1) = 1, (2) = -1}), (16, 1) = Vector(2, {(1) = -5, (2) = 3}), (16, 2) = Vector(2, {(1) = -1, (2) = -3}), (16, 3) = Vector(2, {(1) = 1, (2) = -1}), (17, 1) = Vector(2, {(1) = -6, (2) = 0}), (17, 2) = Vector(2, {(1) = 0, (2) = -3}), (17, 3) = Vector(2, {(1) = 1, (2) = 0}), (18, 1) = Vector(2, {(1) = -6, (2) = -3}), (18, 2) = Vector(2, {(1) = 1, (2) = -2}), (18, 3) = Vector(2, {(1) = 1, (2) = 1}), (19, 1) = Vector(2, {(1) = -5, (2) = -5}), (19, 2) = Vector(2, {(1) = 2, (2) = -1}), (19, 3) = Vector(2, {(1) = 1, (2) = 1}), (20, 1) = Vector(2, {(1) = -3, (2) = -6}), (20, 2) = Vector(2, {(1) = 3, (2) = 0}), (20, 3) = Vector(2, {(1) = 1, (2) = 1}), (21, 1) = Vector(2, {(1) = 0, (2) = -6}), (21, 2) = Vector(2, {(1) = 3, (2) = 1}), (21, 3) = Vector(2, {(1) = 0, (2) = 1}), (22, 1) = Vector(2, {(1) = 3, (2) = -5}), (22, 2) = Vector(2, {(1) = 2, (2) = 2}), (22, 3) = Vector(2, {(1) = -1, (2) = 1}), (23, 1) = Vector(2, {(1) = 5, (2) = -3}), (23, 2) = Vector(2, {(1) = 1, (2) = 3}), (23, 3) = Vector(2, {(1) = -1, (2) = 1}), (24, 1) = Vector(2, {(1) = 6, (2) = 0}), (24, 2) = Vector(2, {(1) = 0, (2) = 3}), (24, 3) = Vector(2, {(1) = -1, (2) = 0}), (25, 1) = Vector(2, {(1) = 6, (2) = 3}), (25, 2) = Vector(2, {(1) = -1, (2) = 2}), (25, 3) = Vector(2, {(1) = -1, (2) = -1}), (26, 1) = Vector(2, {(1) = 5, (2) = 5}), (26, 2) = Vector(2, {(1) = -2, (2) = 1}), (26, 3) = Vector(2, {(1) = -1, (2) = -1}), (27, 1) = Vector(2, {(1) = 3, (2) = 6}), (27, 2) = Vector(2, {(1) = -3, (2) = 0}), (27, 3) = Vector(2, {(1) = -1, (2) = -1}), (28, 1) = Vector(2, {(1) = 0, (2) = 6}), (28, 2) = Vector(2, {(1) = -3, (2) = -1}), (28, 3) = Vector(2, {(1) = 0, (2) = -1}), (29, 1) = Vector(2, {(1) = -3, (2) = 5}), (29, 2) = Vector(2, {(1) = -2, (2) = -2}), (29, 3) = Vector(2, {(1) = 1, (2) = -1}), (30, 1) = Vector(2, {(1) = -5, (2) = 3}), (30, 2) = Vector(2, {(1) = -1, (2) = -3}), (30, 3) = Vector(2, {(1) = 1, (2) = -1}), (31, 1) = Vector(2, {(1) = -6, (2) = 0}), (31, 2) = Vector(2, {(1) = 0, (2) = -3}), (31, 3) = Vector(2, {(1) = 1, (2) = 0}), (32, 1) = Vector(2, {(1) = -6, (2) = -3}), (32, 2) = Vector(2, {(1) = 1, (2) = -2}), (32, 3) = Vector(2, {(1) = 1, (2) = 1}), (33, 1) = Vector(2, {(1) = -5, (2) = -5}), (33, 2) = Vector(2, {(1) = 2, (2) = -1}), (33, 3) = Vector(2, {(1) = 1, (2) = 1}), (34, 1) = Vector(2, {(1) = -3, (2) = -6}), (34, 2) = Vector(2, {(1) = 3, (2) = 0}), (34, 3) = Vector(2, {(1) = 1, (2) = 1}), (35, 1) = Vector(2, {(1) = 0, (2) = -6}), (35, 2) = Vector(2, {(1) = 3, (2) = 1}), (35, 3) = Vector(2, {(1) = 0, (2) = 1}), (36, 1) = Vector(2, {(1) = 3, (2) = -5}), (36, 2) = Vector(2, {(1) = 2, (2) = 2}), (36, 3) = Vector(2, {(1) = -1, (2) = 1}), (37, 1) = Vector(2, {(1) = 5, (2) = -3}), (37, 2) = Vector(2, {(1) = 1, (2) = 3}), (37, 3) = Vector(2, {(1) = -1, (2) = 1}), (38, 1) = Vector(2, {(1) = 6, (2) = 0}), (38, 2) = Vector(2, {(1) = 0, (2) = 3}), (38, 3) = Vector(2, {(1) = -1, (2) = 0}), (39, 1) = Vector(2, {(1) = 6, (2) = 3}), (39, 2) = Vector(2, {(1) = -1, (2) = 2}), (39, 3) = Vector(2, {(1) = -1, (2) = -1}), (40, 1) = Vector(2, {(1) = 5, (2) = 5}), (40, 2) = Vector(2, {(1) = -2, (2) = 1}), (40, 3) = Vector(2, {(1) = -1, (2) = -1}), (41, 1) = Vector(2, {(1) = 3, (2) = 6}), (41, 2) = Vector(2, {(1) = -3, (2) = 0}), (41, 3) = Vector(2, {(1) = -1, (2) = -1}), (42, 1) = Vector(2, {(1) = 0, (2) = 6}), (42, 2) = Vector(2, {(1) = -3, (2) = -1}), (42, 3) = Vector(2, {(1) = 0, (2) = -1}), (43, 1) = Vector(2, {(1) = -3, (2) = 5}), (43, 2) = Vector(2, {(1) = -2, (2) = -2}), (43, 3) = Vector(2, {(1) = 1, (2) = -1}), (44, 1) = Vector(2, {(1) = -5, (2) = 3}), (44, 2) = Vector(2, {(1) = -1, (2) = -3}), (44, 3) = Vector(2, {(1) = 1, (2) = -1}), (45, 1) = Vector(2, {(1) = -6, (2) = 0}), (45, 2) = Vector(2, {(1) = 0, (2) = -3}), (45, 3) = Vector(2, {(1) = 1, (2) = 0}), (46, 1) = Vector(2, {(1) = -6, (2) = -3}), (46, 2) = Vector(2, {(1) = 1, (2) = -2}), (46, 3) = Vector(2, {(1) = 1, (2) = 1}), (47, 1) = Vector(2, {(1) = -5, (2) = -5}), (47, 2) = Vector(2, {(1) = 2, (2) = -1}), (47, 3) = Vector(2, {(1) = 1, (2) = 1}), (48, 1) = Vector(2, {(1) = -3, (2) = -6}), (48, 2) = Vector(2, {(1) = 3, (2) = 0}), (48, 3) = Vector(2, {(1) = 1, (2) = 1}), (49, 1) = Vector(2, {(1) = 0, (2) = -6}), (49, 2) = Vector(2, {(1) = 3, (2) = 1}), (49, 3) = Vector(2, {(1) = 0, (2) = 1}), (50, 1) = Vector(2, {(1) = 3, (2) = -5}), (50, 2) = Vector(2, {(1) = 2, (2) = 2}), (50, 3) = Vector(2, {(1) = -1, (2) = 1}), (51, 1) = Vector(2, {(1) = 5, (2) = -3}), (51, 2) = Vector(2, {(1) = 1, (2) = 3}), (51, 3) = Vector(2, {(1) = -1, (2) = 1}), (52, 1) = Vector(2, {(1) = 6, (2) = 0}), (52, 2) = Vector(2, {(1) = 0, (2) = 3}), (52, 3) = Vector(2, {(1) = -1, (2) = 0}), (53, 1) = Vector(2, {(1) = 6, (2) = 3}), (53, 2) = Vector(2, {(1) = -1, (2) = 2}), (53, 3) = Vector(2, {(1) = -1, (2) = -1}), (54, 1) = Vector(2, {(1) = 5, (2) = 5}), (54, 2) = Vector(2, {(1) = -2, (2) = 1}), (54, 3) = Vector(2, {(1) = -1, (2) = -1}), (55, 1) = Vector(2, {(1) = 3, (2) = 6}), (55, 2) = Vector(2, {(1) = -3, (2) = 0}), (55, 3) = Vector(2, {(1) = -1, (2) = -1}), (56, 1) = Vector(2, {(1) = 0, (2) = 6}), (56, 2) = Vector(2, {(1) = -3, (2) = -1}), (56, 3) = Vector(2, {(1) = 0, (2) = -1}), (57, 1) = Vector(2, {(1) = -3, (2) = 5}), (57, 2) = Vector(2, {(1) = -2, (2) = -2}), (57, 3) = Vector(2, {(1) = 1, (2) = -1}), (58, 1) = Vector(2, {(1) = -5, (2) = 3}), (58, 2) = Vector(2, {(1) = -1, (2) = -3}), (58, 3) = Vector(2, {(1) = 1, (2) = -1}), (59, 1) = Vector(2, {(1) = -6, (2) = 0}), (59, 2) = Vector(2, {(1) = 0, (2) = -3}), (59, 3) = Vector(2, {(1) = 1, (2) = 0}), (60, 1) = Vector(2, {(1) = -6, (2) = -3}), (60, 2) = Vector(2, {(1) = 1, (2) = -2}), (60, 3) = Vector(2, {(1) = 1, (2) = 1})})

M := Matrix(60, 3, {(1, 1) = Vector(2, {(1) = -3, (2) = 5}), (1, 2) = Vector(2, {(1) = -2, (2) = -2}), (1, 3) = Vector(2, {(1) = 0, (2) = 0}), (2, 1) = Vector(2, {(1) = -5, (2) = 3}), (2, 2) = Vector(2, {(1) = -1, (2) = -3}), (2, 3) = Vector(2, {(1) = 1, (2) = -1}), (3, 1) = Vector(2, {(1) = -6, (2) = 0}), (3, 2) = Vector(2, {(1) = 0, (2) = -3}), (3, 3) = Vector(2, {(1) = 1, (2) = 0}), (4, 1) = Vector(2, {(1) = -6, (2) = -3}), (4, 2) = Vector(2, {(1) = 1, (2) = -2}), (4, 3) = Vector(2, {(1) = 1, (2) = 1}), (5, 1) = Vector(2, {(1) = -5, (2) = -5}), (5, 2) = Vector(2, {(1) = 2, (2) = -1}), (5, 3) = Vector(2, {(1) = 1, (2) = 1}), (6, 1) = Vector(2, {(1) = -3, (2) = -6}), (6, 2) = Vector(2, {(1) = 3, (2) = 0}), (6, 3) = Vector(2, {(1) = 1, (2) = 1}), (7, 1) = Vector(2, {(1) = 0, (2) = -6}), (7, 2) = Vector(2, {(1) = 3, (2) = 1}), (7, 3) = Vector(2, {(1) = 0, (2) = 1}), (8, 1) = Vector(2, {(1) = 3, (2) = -5}), (8, 2) = Vector(2, {(1) = 2, (2) = 2}), (8, 3) = Vector(2, {(1) = -1, (2) = 1}), (9, 1) = Vector(2, {(1) = 5, (2) = -3}), (9, 2) = Vector(2, {(1) = 1, (2) = 3}), (9, 3) = Vector(2, {(1) = -1, (2) = 1}), (10, 1) = Vector(2, {(1) = 6, (2) = 0}), (10, 2) = Vector(2, {(1) = 0, (2) = 3}), (10, 3) = Vector(2, {(1) = -1, (2) = 0}), (11, 1) = Vector(2, {(1) = 6, (2) = 3}), (11, 2) = Vector(2, {(1) = -1, (2) = 2}), (11, 3) = Vector(2, {(1) = -1, (2) = -1}), (12, 1) = Vector(2, {(1) = 5, (2) = 5}), (12, 2) = Vector(2, {(1) = -2, (2) = 1}), (12, 3) = Vector(2, {(1) = -1, (2) = -1}), (13, 1) = Vector(2, {(1) = 3, (2) = 6}), (13, 2) = Vector(2, {(1) = -3, (2) = 0}), (13, 3) = Vector(2, {(1) = -1, (2) = -1}), (14, 1) = Vector(2, {(1) = 0, (2) = 6}), (14, 2) = Vector(2, {(1) = -3, (2) = -1}), (14, 3) = Vector(2, {(1) = 0, (2) = -1}), (15, 1) = Vector(2, {(1) = -3, (2) = 5}), (15, 2) = Vector(2, {(1) = -2, (2) = -2}), (15, 3) = Vector(2, {(1) = 1, (2) = -1}), (16, 1) = Vector(2, {(1) = -5, (2) = 3}), (16, 2) = Vector(2, {(1) = -1, (2) = -3}), (16, 3) = Vector(2, {(1) = 1, (2) = -1}), (17, 1) = Vector(2, {(1) = -6, (2) = 0}), (17, 2) = Vector(2, {(1) = 0, (2) = -3}), (17, 3) = Vector(2, {(1) = 1, (2) = 0}), (18, 1) = Vector(2, {(1) = -6, (2) = -3}), (18, 2) = Vector(2, {(1) = 1, (2) = -2}), (18, 3) = Vector(2, {(1) = 1, (2) = 1}), (19, 1) = Vector(2, {(1) = -5, (2) = -5}), (19, 2) = Vector(2, {(1) = 2, (2) = -1}), (19, 3) = Vector(2, {(1) = 1, (2) = 1}), (20, 1) = Vector(2, {(1) = -3, (2) = -6}), (20, 2) = Vector(2, {(1) = 3, (2) = 0}), (20, 3) = Vector(2, {(1) = 1, (2) = 1}), (21, 1) = Vector(2, {(1) = 0, (2) = -6}), (21, 2) = Vector(2, {(1) = 3, (2) = 1}), (21, 3) = Vector(2, {(1) = 0, (2) = 1}), (22, 1) = Vector(2, {(1) = 3, (2) = -5}), (22, 2) = Vector(2, {(1) = 2, (2) = 2}), (22, 3) = Vector(2, {(1) = -1, (2) = 1}), (23, 1) = Vector(2, {(1) = 5, (2) = -3}), (23, 2) = Vector(2, {(1) = 1, (2) = 3}), (23, 3) = Vector(2, {(1) = -1, (2) = 1}), (24, 1) = Vector(2, {(1) = 6, (2) = 0}), (24, 2) = Vector(2, {(1) = 0, (2) = 3}), (24, 3) = Vector(2, {(1) = -1, (2) = 0}), (25, 1) = Vector(2, {(1) = 6, (2) = 3}), (25, 2) = Vector(2, {(1) = -1, (2) = 2}), (25, 3) = Vector(2, {(1) = -1, (2) = -1}), (26, 1) = Vector(2, {(1) = 5, (2) = 5}), (26, 2) = Vector(2, {(1) = -2, (2) = 1}), (26, 3) = Vector(2, {(1) = -1, (2) = -1}), (27, 1) = Vector(2, {(1) = 3, (2) = 6}), (27, 2) = Vector(2, {(1) = -3, (2) = 0}), (27, 3) = Vector(2, {(1) = -1, (2) = -1}), (28, 1) = Vector(2, {(1) = 0, (2) = 6}), (28, 2) = Vector(2, {(1) = -3, (2) = -1}), (28, 3) = Vector(2, {(1) = 0, (2) = -1}), (29, 1) = Vector(2, {(1) = -3, (2) = 5}), (29, 2) = Vector(2, {(1) = -2, (2) = -2}), (29, 3) = Vector(2, {(1) = 1, (2) = -1}), (30, 1) = Vector(2, {(1) = -5, (2) = 3}), (30, 2) = Vector(2, {(1) = -1, (2) = -3}), (30, 3) = Vector(2, {(1) = 1, (2) = -1}), (31, 1) = Vector(2, {(1) = -6, (2) = 0}), (31, 2) = Vector(2, {(1) = 0, (2) = -3}), (31, 3) = Vector(2, {(1) = 1, (2) = 0}), (32, 1) = Vector(2, {(1) = -6, (2) = -3}), (32, 2) = Vector(2, {(1) = 1, (2) = -2}), (32, 3) = Vector(2, {(1) = 1, (2) = 1}), (33, 1) = Vector(2, {(1) = -5, (2) = -5}), (33, 2) = Vector(2, {(1) = 2, (2) = -1}), (33, 3) = Vector(2, {(1) = 1, (2) = 1}), (34, 1) = Vector(2, {(1) = -3, (2) = -6}), (34, 2) = Vector(2, {(1) = 3, (2) = 0}), (34, 3) = Vector(2, {(1) = 1, (2) = 1}), (35, 1) = Vector(2, {(1) = 0, (2) = -6}), (35, 2) = Vector(2, {(1) = 3, (2) = 1}), (35, 3) = Vector(2, {(1) = 0, (2) = 1}), (36, 1) = Vector(2, {(1) = 3, (2) = -5}), (36, 2) = Vector(2, {(1) = 2, (2) = 2}), (36, 3) = Vector(2, {(1) = -1, (2) = 1}), (37, 1) = Vector(2, {(1) = 5, (2) = -3}), (37, 2) = Vector(2, {(1) = 1, (2) = 3}), (37, 3) = Vector(2, {(1) = -1, (2) = 1}), (38, 1) = Vector(2, {(1) = 6, (2) = 0}), (38, 2) = Vector(2, {(1) = 0, (2) = 3}), (38, 3) = Vector(2, {(1) = -1, (2) = 0}), (39, 1) = Vector(2, {(1) = 6, (2) = 3}), (39, 2) = Vector(2, {(1) = -1, (2) = 2}), (39, 3) = Vector(2, {(1) = -1, (2) = -1}), (40, 1) = Vector(2, {(1) = 5, (2) = 5}), (40, 2) = Vector(2, {(1) = -2, (2) = 1}), (40, 3) = Vector(2, {(1) = -1, (2) = -1}), (41, 1) = Vector(2, {(1) = 3, (2) = 6}), (41, 2) = Vector(2, {(1) = -3, (2) = 0}), (41, 3) = Vector(2, {(1) = -1, (2) = -1}), (42, 1) = Vector(2, {(1) = 0, (2) = 6}), (42, 2) = Vector(2, {(1) = -3, (2) = -1}), (42, 3) = Vector(2, {(1) = 0, (2) = -1}), (43, 1) = Vector(2, {(1) = -3, (2) = 5}), (43, 2) = Vector(2, {(1) = -2, (2) = -2}), (43, 3) = Vector(2, {(1) = 1, (2) = -1}), (44, 1) = Vector(2, {(1) = -5, (2) = 3}), (44, 2) = Vector(2, {(1) = -1, (2) = -3}), (44, 3) = Vector(2, {(1) = 1, (2) = -1}), (45, 1) = Vector(2, {(1) = -6, (2) = 0}), (45, 2) = Vector(2, {(1) = 0, (2) = -3}), (45, 3) = Vector(2, {(1) = 1, (2) = 0}), (46, 1) = Vector(2, {(1) = -6, (2) = -3}), (46, 2) = Vector(2, {(1) = 1, (2) = -2}), (46, 3) = Vector(2, {(1) = 1, (2) = 1}), (47, 1) = Vector(2, {(1) = -5, (2) = -5}), (47, 2) = Vector(2, {(1) = 2, (2) = -1}), (47, 3) = Vector(2, {(1) = 1, (2) = 1}), (48, 1) = Vector(2, {(1) = -3, (2) = -6}), (48, 2) = Vector(2, {(1) = 3, (2) = 0}), (48, 3) = Vector(2, {(1) = 1, (2) = 1}), (49, 1) = Vector(2, {(1) = 0, (2) = -6}), (49, 2) = Vector(2, {(1) = 3, (2) = 1}), (49, 3) = Vector(2, {(1) = 0, (2) = 1}), (50, 1) = Vector(2, {(1) = 3, (2) = -5}), (50, 2) = Vector(2, {(1) = 2, (2) = 2}), (50, 3) = Vector(2, {(1) = -1, (2) = 1}), (51, 1) = Vector(2, {(1) = 5, (2) = -3}), (51, 2) = Vector(2, {(1) = 1, (2) = 3}), (51, 3) = Vector(2, {(1) = -1, (2) = 1}), (52, 1) = Vector(2, {(1) = 6, (2) = 0}), (52, 2) = Vector(2, {(1) = 0, (2) = 3}), (52, 3) = Vector(2, {(1) = -1, (2) = 0}), (53, 1) = Vector(2, {(1) = 6, (2) = 3}), (53, 2) = Vector(2, {(1) = -1, (2) = 2}), (53, 3) = Vector(2, {(1) = -1, (2) = -1}), (54, 1) = Vector(2, {(1) = 5, (2) = 5}), (54, 2) = Vector(2, {(1) = -2, (2) = 1}), (54, 3) = Vector(2, {(1) = -1, (2) = -1}), (55, 1) = Vector(2, {(1) = 3, (2) = 6}), (55, 2) = Vector(2, {(1) = -3, (2) = 0}), (55, 3) = Vector(2, {(1) = -1, (2) = -1}), (56, 1) = Vector(2, {(1) = 0, (2) = 6}), (56, 2) = Vector(2, {(1) = -3, (2) = -1}), (56, 3) = Vector(2, {(1) = 0, (2) = -1}), (57, 1) = Vector(2, {(1) = -3, (2) = 5}), (57, 2) = Vector(2, {(1) = -2, (2) = -2}), (57, 3) = Vector(2, {(1) = 1, (2) = -1}), (58, 1) = Vector(2, {(1) = -5, (2) = 3}), (58, 2) = Vector(2, {(1) = -1, (2) = -3}), (58, 3) = Vector(2, {(1) = 1, (2) = -1}), (59, 1) = Vector(2, {(1) = -6, (2) = 0}), (59, 2) = Vector(2, {(1) = 0, (2) = -3}), (59, 3) = Vector(2, {(1) = 1, (2) = 0}), (60, 1) = Vector(2, {(1) = -6, (2) = -3}), (60, 2) = Vector(2, {(1) = 1, (2) = -2}), (60, 3) = Vector(2, {(1) = 1, (2) = 1})})

 (3)

xmin := 0; xmax := 0; ymin := 0; ymax := 0; for i from 2 while M[i, 1] <> M[1, 1] and i < 25 do xmin := min(M[i, 1][1], xmin); ymin := min(M[i, 1][2], ymin); xmax := max(M[i, 1][1], xmax); ymax := max(M[i, 1][1], ymax) end do; i, xmin, xmax, ymin, ymax

25, -6, 6, -6, 6

 (4)

orb := plot(([seq])([M[j, 1][1], M[j, 1][2]], j = 1 .. i), colour = blue); l1 := plot(sqrt(2-sqrt(2))*x/sqrt(2+sqrt(2)), x = xmin .. xmax, colour = green); l2 := plot(-sqrt(2-sqrt(2))*x/sqrt(2+sqrt(2)), x = xmin .. xmax, colour = green); l3 := plot(sqrt(2+sqrt(2))*x/sqrt(2-sqrt(2)), x = xmin .. xmax, y = ymin .. ymax, colour = green); l4 := plot(-sqrt(2+sqrt(2))*x/sqrt(2-sqrt(2)), x = xmin .. xmax, y = ymin .. ymax, colour = green); display(orb, l1, l2, l3, l4, scaling = constrained)

  

accel := plottools:-arrow(seq([M[j, 1][1], M[j, 1][2]], [M[j, 3][1], M[j, 3][2]], j = 1 .. i), colour = red)

Error, invalid input: seq expects its 3rd argument, step, to be of type numeric, but received j = 1 .. 25

  

``


 

Download plot_arrows_sequence.mw
 

restart

with(plots)

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

 (1)

with(plottools)

[annulus, arc, arrow, circle, cone, cuboid, curve, cutin, cutout, cylinder, disk, dodecahedron, ellipse, ellipticArc, exportplot, extrude, getdata, hemisphere, hexahedron, homothety, hyperbola, icosahedron, importplot, line, octahedron, parallelepiped, pieslice, point, polygon, prism, project, rectangle, reflect, rotate, scale, sector, semitorus, sphere, stellate, tetrahedron, torus, transform, translate]

 (2)

M := Matrix(60, 3, {(1, 1) = Vector(2, {(1) = -3, (2) = 5}), (1, 2) = Vector(2, {(1) = -2, (2) = -2}), (1, 3) = Vector(2, {(1) = 0, (2) = 0}), (2, 1) = Vector(2, {(1) = -5, (2) = 3}), (2, 2) = Vector(2, {(1) = -1, (2) = -3}), (2, 3) = Vector(2, {(1) = 1, (2) = -1}), (3, 1) = Vector(2, {(1) = -6, (2) = 0}), (3, 2) = Vector(2, {(1) = 0, (2) = -3}), (3, 3) = Vector(2, {(1) = 1, (2) = 0}), (4, 1) = Vector(2, {(1) = -6, (2) = -3}), (4, 2) = Vector(2, {(1) = 1, (2) = -2}), (4, 3) = Vector(2, {(1) = 1, (2) = 1}), (5, 1) = Vector(2, {(1) = -5, (2) = -5}), (5, 2) = Vector(2, {(1) = 2, (2) = -1}), (5, 3) = Vector(2, {(1) = 1, (2) = 1}), (6, 1) = Vector(2, {(1) = -3, (2) = -6}), (6, 2) = Vector(2, {(1) = 3, (2) = 0}), (6, 3) = Vector(2, {(1) = 1, (2) = 1}), (7, 1) = Vector(2, {(1) = 0, (2) = -6}), (7, 2) = Vector(2, {(1) = 3, (2) = 1}), (7, 3) = Vector(2, {(1) = 0, (2) = 1}), (8, 1) = Vector(2, {(1) = 3, (2) = -5}), (8, 2) = Vector(2, {(1) = 2, (2) = 2}), (8, 3) = Vector(2, {(1) = -1, (2) = 1}), (9, 1) = Vector(2, {(1) = 5, (2) = -3}), (9, 2) = Vector(2, {(1) = 1, (2) = 3}), (9, 3) = Vector(2, {(1) = -1, (2) = 1}), (10, 1) = Vector(2, {(1) = 6, (2) = 0}), (10, 2) = Vector(2, {(1) = 0, (2) = 3}), (10, 3) = Vector(2, {(1) = -1, (2) = 0}), (11, 1) = Vector(2, {(1) = 6, (2) = 3}), (11, 2) = Vector(2, {(1) = -1, (2) = 2}), (11, 3) = Vector(2, {(1) = -1, (2) = -1}), (12, 1) = Vector(2, {(1) = 5, (2) = 5}), (12, 2) = Vector(2, {(1) = -2, (2) = 1}), (12, 3) = Vector(2, {(1) = -1, (2) = -1}), (13, 1) = Vector(2, {(1) = 3, (2) = 6}), (13, 2) = Vector(2, {(1) = -3, (2) = 0}), (13, 3) = Vector(2, {(1) = -1, (2) = -1}), (14, 1) = Vector(2, {(1) = 0, (2) = 6}), (14, 2) = Vector(2, {(1) = -3, (2) = -1}), (14, 3) = Vector(2, {(1) = 0, (2) = -1}), (15, 1) = Vector(2, {(1) = -3, (2) = 5}), (15, 2) = Vector(2, {(1) = -2, (2) = -2}), (15, 3) = Vector(2, {(1) = 1, (2) = -1}), (16, 1) = Vector(2, {(1) = -5, (2) = 3}), (16, 2) = Vector(2, {(1) = -1, (2) = -3}), (16, 3) = Vector(2, {(1) = 1, (2) = -1}), (17, 1) = Vector(2, {(1) = -6, (2) = 0}), (17, 2) = Vector(2, {(1) = 0, (2) = -3}), (17, 3) = Vector(2, {(1) = 1, (2) = 0}), (18, 1) = Vector(2, {(1) = -6, (2) = -3}), (18, 2) = Vector(2, {(1) = 1, (2) = -2}), (18, 3) = Vector(2, {(1) = 1, (2) = 1}), (19, 1) = Vector(2, {(1) = -5, (2) = -5}), (19, 2) = Vector(2, {(1) = 2, (2) = -1}), (19, 3) = Vector(2, {(1) = 1, (2) = 1}), (20, 1) = Vector(2, {(1) = -3, (2) = -6}), (20, 2) = Vector(2, {(1) = 3, (2) = 0}), (20, 3) = Vector(2, {(1) = 1, (2) = 1}), (21, 1) = Vector(2, {(1) = 0, (2) = -6}), (21, 2) = Vector(2, {(1) = 3, (2) = 1}), (21, 3) = Vector(2, {(1) = 0, (2) = 1}), (22, 1) = Vector(2, {(1) = 3, (2) = -5}), (22, 2) = Vector(2, {(1) = 2, (2) = 2}), (22, 3) = Vector(2, {(1) = -1, (2) = 1}), (23, 1) = Vector(2, {(1) = 5, (2) = -3}), (23, 2) = Vector(2, {(1) = 1, (2) = 3}), (23, 3) = Vector(2, {(1) = -1, (2) = 1}), (24, 1) = Vector(2, {(1) = 6, (2) = 0}), (24, 2) = Vector(2, {(1) = 0, (2) = 3}), (24, 3) = Vector(2, {(1) = -1, (2) = 0}), (25, 1) = Vector(2, {(1) = 6, (2) = 3}), (25, 2) = Vector(2, {(1) = -1, (2) = 2}), (25, 3) = Vector(2, {(1) = -1, (2) = -1}), (26, 1) = Vector(2, {(1) = 5, (2) = 5}), (26, 2) = Vector(2, {(1) = -2, (2) = 1}), (26, 3) = Vector(2, {(1) = -1, (2) = -1}), (27, 1) = Vector(2, {(1) = 3, (2) = 6}), (27, 2) = Vector(2, {(1) = -3, (2) = 0}), (27, 3) = Vector(2, {(1) = -1, (2) = -1}), (28, 1) = Vector(2, {(1) = 0, (2) = 6}), (28, 2) = Vector(2, {(1) = -3, (2) = -1}), (28, 3) = Vector(2, {(1) = 0, (2) = -1}), (29, 1) = Vector(2, {(1) = -3, (2) = 5}), (29, 2) = Vector(2, {(1) = -2, (2) = -2}), (29, 3) = Vector(2, {(1) = 1, (2) = -1}), (30, 1) = Vector(2, {(1) = -5, (2) = 3}), (30, 2) = Vector(2, {(1) = -1, (2) = -3}), (30, 3) = Vector(2, {(1) = 1, (2) = -1}), (31, 1) = Vector(2, {(1) = -6, (2) = 0}), (31, 2) = Vector(2, {(1) = 0, (2) = -3}), (31, 3) = Vector(2, {(1) = 1, (2) = 0}), (32, 1) = Vector(2, {(1) = -6, (2) = -3}), (32, 2) = Vector(2, {(1) = 1, (2) = -2}), (32, 3) = Vector(2, {(1) = 1, (2) = 1}), (33, 1) = Vector(2, {(1) = -5, (2) = -5}), (33, 2) = Vector(2, {(1) = 2, (2) = -1}), (33, 3) = Vector(2, {(1) = 1, (2) = 1}), (34, 1) = Vector(2, {(1) = -3, (2) = -6}), (34, 2) = Vector(2, {(1) = 3, (2) = 0}), (34, 3) = Vector(2, {(1) = 1, (2) = 1}), (35, 1) = Vector(2, {(1) = 0, (2) = -6}), (35, 2) = Vector(2, {(1) = 3, (2) = 1}), (35, 3) = Vector(2, {(1) = 0, (2) = 1}), (36, 1) = Vector(2, {(1) = 3, (2) = -5}), (36, 2) = Vector(2, {(1) = 2, (2) = 2}), (36, 3) = Vector(2, {(1) = -1, (2) = 1}), (37, 1) = Vector(2, {(1) = 5, (2) = -3}), (37, 2) = Vector(2, {(1) = 1, (2) = 3}), (37, 3) = Vector(2, {(1) = -1, (2) = 1}), (38, 1) = Vector(2, {(1) = 6, (2) = 0}), (38, 2) = Vector(2, {(1) = 0, (2) = 3}), (38, 3) = Vector(2, {(1) = -1, (2) = 0}), (39, 1) = Vector(2, {(1) = 6, (2) = 3}), (39, 2) = Vector(2, {(1) = -1, (2) = 2}), (39, 3) = Vector(2, {(1) = -1, (2) = -1}), (40, 1) = Vector(2, {(1) = 5, (2) = 5}), (40, 2) = Vector(2, {(1) = -2, (2) = 1}), (40, 3) = Vector(2, {(1) = -1, (2) = -1}), (41, 1) = Vector(2, {(1) = 3, (2) = 6}), (41, 2) = Vector(2, {(1) = -3, (2) = 0}), (41, 3) = Vector(2, {(1) = -1, (2) = -1}), (42, 1) = Vector(2, {(1) = 0, (2) = 6}), (42, 2) = Vector(2, {(1) = -3, (2) = -1}), (42, 3) = Vector(2, {(1) = 0, (2) = -1}), (43, 1) = Vector(2, {(1) = -3, (2) = 5}), (43, 2) = Vector(2, {(1) = -2, (2) = -2}), (43, 3) = Vector(2, {(1) = 1, (2) = -1}), (44, 1) = Vector(2, {(1) = -5, (2) = 3}), (44, 2) = Vector(2, {(1) = -1, (2) = -3}), (44, 3) = Vector(2, {(1) = 1, (2) = -1}), (45, 1) = Vector(2, {(1) = -6, (2) = 0}), (45, 2) = Vector(2, {(1) = 0, (2) = -3}), (45, 3) = Vector(2, {(1) = 1, (2) = 0}), (46, 1) = Vector(2, {(1) = -6, (2) = -3}), (46, 2) = Vector(2, {(1) = 1, (2) = -2}), (46, 3) = Vector(2, {(1) = 1, (2) = 1}), (47, 1) = Vector(2, {(1) = -5, (2) = -5}), (47, 2) = Vector(2, {(1) = 2, (2) = -1}), (47, 3) = Vector(2, {(1) = 1, (2) = 1}), (48, 1) = Vector(2, {(1) = -3, (2) = -6}), (48, 2) = Vector(2, {(1) = 3, (2) = 0}), (48, 3) = Vector(2, {(1) = 1, (2) = 1}), (49, 1) = Vector(2, {(1) = 0, (2) = -6}), (49, 2) = Vector(2, {(1) = 3, (2) = 1}), (49, 3) = Vector(2, {(1) = 0, (2) = 1}), (50, 1) = Vector(2, {(1) = 3, (2) = -5}), (50, 2) = Vector(2, {(1) = 2, (2) = 2}), (50, 3) = Vector(2, {(1) = -1, (2) = 1}), (51, 1) = Vector(2, {(1) = 5, (2) = -3}), (51, 2) = Vector(2, {(1) = 1, (2) = 3}), (51, 3) = Vector(2, {(1) = -1, (2) = 1}), (52, 1) = Vector(2, {(1) = 6, (2) = 0}), (52, 2) = Vector(2, {(1) = 0, (2) = 3}), (52, 3) = Vector(2, {(1) = -1, (2) = 0}), (53, 1) = Vector(2, {(1) = 6, (2) = 3}), (53, 2) = Vector(2, {(1) = -1, (2) = 2}), (53, 3) = Vector(2, {(1) = -1, (2) = -1}), (54, 1) = Vector(2, {(1) = 5, (2) = 5}), (54, 2) = Vector(2, {(1) = -2, (2) = 1}), (54, 3) = Vector(2, {(1) = -1, (2) = -1}), (55, 1) = Vector(2, {(1) = 3, (2) = 6}), (55, 2) = Vector(2, {(1) = -3, (2) = 0}), (55, 3) = Vector(2, {(1) = -1, (2) = -1}), (56, 1) = Vector(2, {(1) = 0, (2) = 6}), (56, 2) = Vector(2, {(1) = -3, (2) = -1}), (56, 3) = Vector(2, {(1) = 0, (2) = -1}), (57, 1) = Vector(2, {(1) = -3, (2) = 5}), (57, 2) = Vector(2, {(1) = -2, (2) = -2}), (57, 3) = Vector(2, {(1) = 1, (2) = -1}), (58, 1) = Vector(2, {(1) = -5, (2) = 3}), (58, 2) = Vector(2, {(1) = -1, (2) = -3}), (58, 3) = Vector(2, {(1) = 1, (2) = -1}), (59, 1) = Vector(2, {(1) = -6, (2) = 0}), (59, 2) = Vector(2, {(1) = 0, (2) = -3}), (59, 3) = Vector(2, {(1) = 1, (2) = 0}), (60, 1) = Vector(2, {(1) = -6, (2) = -3}), (60, 2) = Vector(2, {(1) = 1, (2) = -2}), (60, 3) = Vector(2, {(1) = 1, (2) = 1})})

M := Matrix(60, 3, {(1, 1) = Vector(2, {(1) = -3, (2) = 5}), (1, 2) = Vector(2, {(1) = -2, (2) = -2}), (1, 3) = Vector(2, {(1) = 0, (2) = 0}), (2, 1) = Vector(2, {(1) = -5, (2) = 3}), (2, 2) = Vector(2, {(1) = -1, (2) = -3}), (2, 3) = Vector(2, {(1) = 1, (2) = -1}), (3, 1) = Vector(2, {(1) = -6, (2) = 0}), (3, 2) = Vector(2, {(1) = 0, (2) = -3}), (3, 3) = Vector(2, {(1) = 1, (2) = 0}), (4, 1) = Vector(2, {(1) = -6, (2) = -3}), (4, 2) = Vector(2, {(1) = 1, (2) = -2}), (4, 3) = Vector(2, {(1) = 1, (2) = 1}), (5, 1) = Vector(2, {(1) = -5, (2) = -5}), (5, 2) = Vector(2, {(1) = 2, (2) = -1}), (5, 3) = Vector(2, {(1) = 1, (2) = 1}), (6, 1) = Vector(2, {(1) = -3, (2) = -6}), (6, 2) = Vector(2, {(1) = 3, (2) = 0}), (6, 3) = Vector(2, {(1) = 1, (2) = 1}), (7, 1) = Vector(2, {(1) = 0, (2) = -6}), (7, 2) = Vector(2, {(1) = 3, (2) = 1}), (7, 3) = Vector(2, {(1) = 0, (2) = 1}), (8, 1) = Vector(2, {(1) = 3, (2) = -5}), (8, 2) = Vector(2, {(1) = 2, (2) = 2}), (8, 3) = Vector(2, {(1) = -1, (2) = 1}), (9, 1) = Vector(2, {(1) = 5, (2) = -3}), (9, 2) = Vector(2, {(1) = 1, (2) = 3}), (9, 3) = Vector(2, {(1) = -1, (2) = 1}), (10, 1) = Vector(2, {(1) = 6, (2) = 0}), (10, 2) = Vector(2, {(1) = 0, (2) = 3}), (10, 3) = Vector(2, {(1) = -1, (2) = 0}), (11, 1) = Vector(2, {(1) = 6, (2) = 3}), (11, 2) = Vector(2, {(1) = -1, (2) = 2}), (11, 3) = Vector(2, {(1) = -1, (2) = -1}), (12, 1) = Vector(2, {(1) = 5, (2) = 5}), (12, 2) = Vector(2, {(1) = -2, (2) = 1}), (12, 3) = Vector(2, {(1) = -1, (2) = -1}), (13, 1) = Vector(2, {(1) = 3, (2) = 6}), (13, 2) = Vector(2, {(1) = -3, (2) = 0}), (13, 3) = Vector(2, {(1) = -1, (2) = -1}), (14, 1) = Vector(2, {(1) = 0, (2) = 6}), (14, 2) = Vector(2, {(1) = -3, (2) = -1}), (14, 3) = Vector(2, {(1) = 0, (2) = -1}), (15, 1) = Vector(2, {(1) = -3, (2) = 5}), (15, 2) = Vector(2, {(1) = -2, (2) = -2}), (15, 3) = Vector(2, {(1) = 1, (2) = -1}), (16, 1) = Vector(2, {(1) = -5, (2) = 3}), (16, 2) = Vector(2, {(1) = -1, (2) = -3}), (16, 3) = Vector(2, {(1) = 1, (2) = -1}), (17, 1) = Vector(2, {(1) = -6, (2) = 0}), (17, 2) = Vector(2, {(1) = 0, (2) = -3}), (17, 3) = Vector(2, {(1) = 1, (2) = 0}), (18, 1) = Vector(2, {(1) = -6, (2) = -3}), (18, 2) = Vector(2, {(1) = 1, (2) = -2}), (18, 3) = Vector(2, {(1) = 1, (2) = 1}), (19, 1) = Vector(2, {(1) = -5, (2) = -5}), (19, 2) = Vector(2, {(1) = 2, (2) = -1}), (19, 3) = Vector(2, {(1) = 1, (2) = 1}), (20, 1) = Vector(2, {(1) = -3, (2) = -6}), (20, 2) = Vector(2, {(1) = 3, (2) = 0}), (20, 3) = Vector(2, {(1) = 1, (2) = 1}), (21, 1) = Vector(2, {(1) = 0, (2) = -6}), (21, 2) = Vector(2, {(1) = 3, (2) = 1}), (21, 3) = Vector(2, {(1) = 0, (2) = 1}), (22, 1) = Vector(2, {(1) = 3, (2) = -5}), (22, 2) = Vector(2, {(1) = 2, (2) = 2}), (22, 3) = Vector(2, {(1) = -1, (2) = 1}), (23, 1) = Vector(2, {(1) = 5, (2) = -3}), (23, 2) = Vector(2, {(1) = 1, (2) = 3}), (23, 3) = Vector(2, {(1) = -1, (2) = 1}), (24, 1) = Vector(2, {(1) = 6, (2) = 0}), (24, 2) = Vector(2, {(1) = 0, (2) = 3}), (24, 3) = Vector(2, {(1) = -1, (2) = 0}), (25, 1) = Vector(2, {(1) = 6, (2) = 3}), (25, 2) = Vector(2, {(1) = -1, (2) = 2}), (25, 3) = Vector(2, {(1) = -1, (2) = -1}), (26, 1) = Vector(2, {(1) = 5, (2) = 5}), (26, 2) = Vector(2, {(1) = -2, (2) = 1}), (26, 3) = Vector(2, {(1) = -1, (2) = -1}), (27, 1) = Vector(2, {(1) = 3, (2) = 6}), (27, 2) = Vector(2, {(1) = -3, (2) = 0}), (27, 3) = Vector(2, {(1) = -1, (2) = -1}), (28, 1) = Vector(2, {(1) = 0, (2) = 6}), (28, 2) = Vector(2, {(1) = -3, (2) = -1}), (28, 3) = Vector(2, {(1) = 0, (2) = -1}), (29, 1) = Vector(2, {(1) = -3, (2) = 5}), (29, 2) = Vector(2, {(1) = -2, (2) = -2}), (29, 3) = Vector(2, {(1) = 1, (2) = -1}), (30, 1) = Vector(2, {(1) = -5, (2) = 3}), (30, 2) = Vector(2, {(1) = -1, (2) = -3}), (30, 3) = Vector(2, {(1) = 1, (2) = -1}), (31, 1) = Vector(2, {(1) = -6, (2) = 0}), (31, 2) = Vector(2, {(1) = 0, (2) = -3}), (31, 3) = Vector(2, {(1) = 1, (2) = 0}), (32, 1) = Vector(2, {(1) = -6, (2) = -3}), (32, 2) = Vector(2, {(1) = 1, (2) = -2}), (32, 3) = Vector(2, {(1) = 1, (2) = 1}), (33, 1) = Vector(2, {(1) = -5, (2) = -5}), (33, 2) = Vector(2, {(1) = 2, (2) = -1}), (33, 3) = Vector(2, {(1) = 1, (2) = 1}), (34, 1) = Vector(2, {(1) = -3, (2) = -6}), (34, 2) = Vector(2, {(1) = 3, (2) = 0}), (34, 3) = Vector(2, {(1) = 1, (2) = 1}), (35, 1) = Vector(2, {(1) = 0, (2) = -6}), (35, 2) = Vector(2, {(1) = 3, (2) = 1}), (35, 3) = Vector(2, {(1) = 0, (2) = 1}), (36, 1) = Vector(2, {(1) = 3, (2) = -5}), (36, 2) = Vector(2, {(1) = 2, (2) = 2}), (36, 3) = Vector(2, {(1) = -1, (2) = 1}), (37, 1) = Vector(2, {(1) = 5, (2) = -3}), (37, 2) = Vector(2, {(1) = 1, (2) = 3}), (37, 3) = Vector(2, {(1) = -1, (2) = 1}), (38, 1) = Vector(2, {(1) = 6, (2) = 0}), (38, 2) = Vector(2, {(1) = 0, (2) = 3}), (38, 3) = Vector(2, {(1) = -1, (2) = 0}), (39, 1) = Vector(2, {(1) = 6, (2) = 3}), (39, 2) = Vector(2, {(1) = -1, (2) = 2}), (39, 3) = Vector(2, {(1) = -1, (2) = -1}), (40, 1) = Vector(2, {(1) = 5, (2) = 5}), (40, 2) = Vector(2, {(1) = -2, (2) = 1}), (40, 3) = Vector(2, {(1) = -1, (2) = -1}), (41, 1) = Vector(2, {(1) = 3, (2) = 6}), (41, 2) = Vector(2, {(1) = -3, (2) = 0}), (41, 3) = Vector(2, {(1) = -1, (2) = -1}), (42, 1) = Vector(2, {(1) = 0, (2) = 6}), (42, 2) = Vector(2, {(1) = -3, (2) = -1}), (42, 3) = Vector(2, {(1) = 0, (2) = -1}), (43, 1) = Vector(2, {(1) = -3, (2) = 5}), (43, 2) = Vector(2, {(1) = -2, (2) = -2}), (43, 3) = Vector(2, {(1) = 1, (2) = -1}), (44, 1) = Vector(2, {(1) = -5, (2) = 3}), (44, 2) = Vector(2, {(1) = -1, (2) = -3}), (44, 3) = Vector(2, {(1) = 1, (2) = -1}), (45, 1) = Vector(2, {(1) = -6, (2) = 0}), (45, 2) = Vector(2, {(1) = 0, (2) = -3}), (45, 3) = Vector(2, {(1) = 1, (2) = 0}), (46, 1) = Vector(2, {(1) = -6, (2) = -3}), (46, 2) = Vector(2, {(1) = 1, (2) = -2}), (46, 3) = Vector(2, {(1) = 1, (2) = 1}), (47, 1) = Vector(2, {(1) = -5, (2) = -5}), (47, 2) = Vector(2, {(1) = 2, (2) = -1}), (47, 3) = Vector(2, {(1) = 1, (2) = 1}), (48, 1) = Vector(2, {(1) = -3, (2) = -6}), (48, 2) = Vector(2, {(1) = 3, (2) = 0}), (48, 3) = Vector(2, {(1) = 1, (2) = 1}), (49, 1) = Vector(2, {(1) = 0, (2) = -6}), (49, 2) = Vector(2, {(1) = 3, (2) = 1}), (49, 3) = Vector(2, {(1) = 0, (2) = 1}), (50, 1) = Vector(2, {(1) = 3, (2) = -5}), (50, 2) = Vector(2, {(1) = 2, (2) = 2}), (50, 3) = Vector(2, {(1) = -1, (2) = 1}), (51, 1) = Vector(2, {(1) = 5, (2) = -3}), (51, 2) = Vector(2, {(1) = 1, (2) = 3}), (51, 3) = Vector(2, {(1) = -1, (2) = 1}), (52, 1) = Vector(2, {(1) = 6, (2) = 0}), (52, 2) = Vector(2, {(1) = 0, (2) = 3}), (52, 3) = Vector(2, {(1) = -1, (2) = 0}), (53, 1) = Vector(2, {(1) = 6, (2) = 3}), (53, 2) = Vector(2, {(1) = -1, (2) = 2}), (53, 3) = Vector(2, {(1) = -1, (2) = -1}), (54, 1) = Vector(2, {(1) = 5, (2) = 5}), (54, 2) = Vector(2, {(1) = -2, (2) = 1}), (54, 3) = Vector(2, {(1) = -1, (2) = -1}), (55, 1) = Vector(2, {(1) = 3, (2) = 6}), (55, 2) = Vector(2, {(1) = -3, (2) = 0}), (55, 3) = Vector(2, {(1) = -1, (2) = -1}), (56, 1) = Vector(2, {(1) = 0, (2) = 6}), (56, 2) = Vector(2, {(1) = -3, (2) = -1}), (56, 3) = Vector(2, {(1) = 0, (2) = -1}), (57, 1) = Vector(2, {(1) = -3, (2) = 5}), (57, 2) = Vector(2, {(1) = -2, (2) = -2}), (57, 3) = Vector(2, {(1) = 1, (2) = -1}), (58, 1) = Vector(2, {(1) = -5, (2) = 3}), (58, 2) = Vector(2, {(1) = -1, (2) = -3}), (58, 3) = Vector(2, {(1) = 1, (2) = -1}), (59, 1) = Vector(2, {(1) = -6, (2) = 0}), (59, 2) = Vector(2, {(1) = 0, (2) = -3}), (59, 3) = Vector(2, {(1) = 1, (2) = 0}), (60, 1) = Vector(2, {(1) = -6, (2) = -3}), (60, 2) = Vector(2, {(1) = 1, (2) = -2}), (60, 3) = Vector(2, {(1) = 1, (2) = 1})})

 (3)

xmin := 0; xmax := 0; ymin := 0; ymax := 0; for i from 2 while M[i, 1] <> M[1, 1] and i < 25 do xmin := min(M[i, 1][1], xmin); ymin := min(M[i, 1][2], ymin); xmax := max(M[i, 1][1], xmax); ymax := max(M[i, 1][1], ymax) end do; i, xmin, xmax, ymin, ymax

25, -6, 6, -6, 6

 (4)

orb := plot(([seq])([M[j, 1][1], M[j, 1][2]], j = 1 .. i), colour = blue); l1 := plot(sqrt(2-sqrt(2))*x/sqrt(2+sqrt(2)), x = xmin .. xmax, colour = green); l2 := plot(-sqrt(2-sqrt(2))*x/sqrt(2+sqrt(2)), x = xmin .. xmax, colour = green); l3 := plot(sqrt(2+sqrt(2))*x/sqrt(2-sqrt(2)), x = xmin .. xmax, y = ymin .. ymax, colour = green); l4 := plot(-sqrt(2+sqrt(2))*x/sqrt(2-sqrt(2)), x = xmin .. xmax, y = ymin .. ymax, colour = green); display(orb, l1, l2, l3, l4, scaling = constrained)

  

accel := plottools:-arrow(seq([M[j, 1][1], M[j, 1][2]], [M[j, 3][1], M[j, 3][2]], j = 1 .. i), colour = red)

Error, invalid input: seq expects its 3rd argument, step, to be of type numeric, but received j = 1 .. 25

  

``


 

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