斐波那契数列模9的可视化呈现
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所属专题
Graphs of Sequences
本范例演示斐波那契数列除以9的余数在平面坐标系中形成的周期性分布图案。通过CurveCartesian命令绘制参数曲线,将数列的递推关系转化为直观的视觉轨迹,展示斐波那契数列模9的循环周期特性。涉及的核心数学概念包括:斐波那契递推数列、模运算(余数循环)、数列的周期性、参数方程绘图。作图要点:利用Sequence命令生成数列,Element命令提取特定项,Flatten与Join整合数据,Length计算序列长度,最后通过CurveCartesian将(项数, 余数值)映射为坐标点绘制轨迹。本范例适合高中及以上学段,可用于数列与模运算教学、周期现象探究、GeoGebra参数曲线命令学习。
GeoGebra 命令及参数
Sequence(Mod[Element[L_1, i], 9], i, 1, 25) → M91Flatten(Sequence[Sequence[Mod[(i * Element[M91, j]), 9], j, 1, 25], i, 2, 8]) → NewJoin({M91, New}) → SeqAllLength(SeqAll) → lngCurveCartesian((abs((Element[SeqAll, 2] - Element[SeqAll, 1]) / 2) * cos(u)) + (Element[SeqAll, 2] + Element[SeqAll, 1]) / 2, (abs((Element[SeqAll, 2] - Element[SeqAll, 1]) / 2) * sin(u)), u, If[If[Element[SeqAll, 2] > Element[SeqAll, 1], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 2] > Element[SeqAll, 1], 0, 1] ≟ 1, (2 * π), π]) → B1CurveCartesian((abs((Element[SeqAll, 3] - Element[SeqAll, 2]) / 2) * cos(u)) + (Element[SeqAll, 3] + Element[SeqAll, 2]) / 2, (abs((Element[SeqAll, 3] - Element[SeqAll, 2]) / 2) * sin(u)), u, If[If[Element[SeqAll, 3] > Element[SeqAll, 2], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 3] > Element[SeqAll, 2], 0, 1] ≟ 1, (2 * π), π]) → B2CurveCartesian((abs((Element[SeqAll, 4] - Element[SeqAll, 3]) / 2) * cos(u)) + (Element[SeqAll, 4] + Element[SeqAll, 3]) / 2, (abs((Element[SeqAll, 4] - Element[SeqAll, 3]) / 2) * sin(u)), u, If[If[Element[SeqAll, 4] > Element[SeqAll, 3], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 4] > Element[SeqAll, 3], 0, 1] ≟ 1, (2 * π), π]) → B3CurveCartesian((abs((Element[SeqAll, 5] - Element[SeqAll, 4]) / 2) * cos(u)) + (Element[SeqAll, 5] + Element[SeqAll, 4]) / 2, (abs((Element[SeqAll, 5] - Element[SeqAll, 4]) / 2) * sin(u)), u, If[If[Element[SeqAll, 5] > Element[SeqAll, 4], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 5] > Element[SeqAll, 4], 0, 1] ≟ 1, (2 * π), π]) → B4CurveCartesian((abs((Element[SeqAll, 6] - Element[SeqAll, 5]) / 2) * cos(u)) + (Element[SeqAll, 6] + Element[SeqAll, 5]) / 2, (abs((Element[SeqAll, 6] - Element[SeqAll, 5]) / 2) * sin(u)), u, If[If[Element[SeqAll, 6] > Element[SeqAll, 5], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 6] > Element[SeqAll, 5], 0, 1] ≟ 1, (2 * π), π]) → B5CurveCartesian((abs((Element[SeqAll, 7] - Element[SeqAll, 6]) / 2) * cos(u)) + (Element[SeqAll, 7] + Element[SeqAll, 6]) / 2, (abs((Element[SeqAll, 7] - Element[SeqAll, 6]) / 2) * sin(u)), u, If[If[Element[SeqAll, 7] > Element[SeqAll, 6], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 7] > Element[SeqAll, 6], 0, 1] ≟ 1, (2 * π), π]) → B6CurveCartesian((abs((Element[SeqAll, 8] - Element[SeqAll, 7]) / 2) * cos(u)) + (Element[SeqAll, 8] + Element[SeqAll, 7]) / 2, (abs((Element[SeqAll, 8] - Element[SeqAll, 7]) / 2) * sin(u)), u, If[If[Element[SeqAll, 8] > Element[SeqAll, 7], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 8] > Element[SeqAll, 7], 0, 1] ≟ 1, (2 * π), π]) → B7CurveCartesian((abs((Element[SeqAll, 9] - Element[SeqAll, 8]) / 2) * cos(u)) + (Element[SeqAll, 9] + Element[SeqAll, 8]) / 2, (abs((Element[SeqAll, 9] - Element[SeqAll, 8]) / 2) * sin(u)), u, If[If[Element[SeqAll, 9] > Element[SeqAll, 8], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 9] > Element[SeqAll, 8], 0, 1] ≟ 1, (2 * π), π]) → B8CurveCartesian((abs((Element[SeqAll, 10] - Element[SeqAll, 9]) / 2) * cos(u)) + (Element[SeqAll, 10] + Element[SeqAll, 9]) / 2, (abs((Element[SeqAll, 10] - Element[SeqAll, 9]) / 2) * sin(u)), u, If[If[Element[SeqAll, 10] > Element[SeqAll, 9], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 10] > Element[SeqAll, 9], 0, 1] ≟ 1, (2 * π), π]) → B9CurveCartesian((abs((Element[SeqAll, 11] - Element[SeqAll, 10]) / 2) * cos(u)) + (Element[SeqAll, 11] + Element[SeqAll, 10]) / 2, (abs((Element[SeqAll, 11] - Element[SeqAll, 10]) / 2) * sin(u)), u, If[If[Element[SeqAll, 11] > Element[SeqAll, 10], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 11] > Element[SeqAll, 10], 0, 1] ≟ 1, (2 * π), π]) → B10CurveCartesian((abs((Element[SeqAll, 12] - Element[SeqAll, 11]) / 2) * cos(u)) + (Element[SeqAll, 12] + Element[SeqAll, 11]) / 2, (abs((Element[SeqAll, 12] - Element[SeqAll, 11]) / 2) * sin(u)), u, If[If[Element[SeqAll, 12] > Element[SeqAll, 11], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 12] > Element[SeqAll, 11], 0, 1] ≟ 1, (2 * π), π]) → B11CurveCartesian((abs((Element[SeqAll, 13] - Element[SeqAll, 12]) / 2) * cos(u)) + (Element[SeqAll, 13] + Element[SeqAll, 12]) / 2, (abs((Element[SeqAll, 13] - Element[SeqAll, 12]) / 2) * sin(u)), u, If[If[Element[SeqAll, 13] > Element[SeqAll, 12], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 13] > Element[SeqAll, 12], 0, 1] ≟ 1, (2 * π), π]) → B12CurveCartesian((abs((Element[SeqAll, 14] - Element[SeqAll, 13]) / 2) * cos(u)) + (Element[SeqAll, 14] + Element[SeqAll, 13]) / 2, (abs((Element[SeqAll, 14] - Element[SeqAll, 13]) / 2) * sin(u)), u, If[If[Element[SeqAll, 14] > Element[SeqAll, 13], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 14] > Element[SeqAll, 13], 0, 1] ≟ 1, (2 * π), π]) → B13CurveCartesian((abs((Element[SeqAll, 15] - Element[SeqAll, 14]) / 2) * cos(u)) + (Element[SeqAll, 15] + Element[SeqAll, 14]) / 2, (abs((Element[SeqAll, 15] - Element[SeqAll, 14]) / 2) * sin(u)), u, If[If[Element[SeqAll, 15] > Element[SeqAll, 14], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 15] > Element[SeqAll, 14], 0, 1] ≟ 1, (2 * π), π]) → B14CurveCartesian((abs((Element[SeqAll, 16] - Element[SeqAll, 15]) / 2) * cos(u)) + (Element[SeqAll, 16] + Element[SeqAll, 15]) / 2, (abs((Element[SeqAll, 16] - Element[SeqAll, 15]) / 2) * sin(u)), u, If[If[Element[SeqAll, 16] > Element[SeqAll, 15], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 16] > Element[SeqAll, 15], 0, 1] ≟ 1, (2 * π), π]) → B15CurveCartesian((abs((Element[SeqAll, 17] - Element[SeqAll, 16]) / 2) * cos(u)) + (Element[SeqAll, 17] + Element[SeqAll, 16]) / 2, (abs((Element[SeqAll, 17] - Element[SeqAll, 16]) / 2) * sin(u)), u, If[If[Element[SeqAll, 17] > Element[SeqAll, 16], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 17] > Element[SeqAll, 16], 0, 1] ≟ 1, (2 * π), π]) → B16CurveCartesian((abs((Element[SeqAll, 18] - Element[SeqAll, 17]) / 2) * cos(u)) + (Element[SeqAll, 18] + Element[SeqAll, 17]) / 2, (abs((Element[SeqAll, 18] - Element[SeqAll, 17]) / 2) * sin(u)), u, If[If[Element[SeqAll, 18] > Element[SeqAll, 17], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 18] > Element[SeqAll, 17], 0, 1] ≟ 1, (2 * π), π]) → B17CurveCartesian((abs((Element[SeqAll, 19] - Element[SeqAll, 18]) / 2) * cos(u)) + (Element[SeqAll, 19] + Element[SeqAll, 18]) / 2, (abs((Element[SeqAll, 19] - Element[SeqAll, 18]) / 2) * sin(u)), u, If[If[Element[SeqAll, 19] > Element[SeqAll, 18], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 19] > Element[SeqAll, 18], 0, 1] ≟ 1, (2 * π), π]) → B18CurveCartesian((abs((Element[SeqAll, 20] - Element[SeqAll, 19]) / 2) * cos(u)) + (Element[SeqAll, 20] + Element[SeqAll, 19]) / 2, (abs((Element[SeqAll, 20] - Element[SeqAll, 19]) / 2) * sin(u)), u, If[If[Element[SeqAll, 20] > Element[SeqAll, 19], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 20] > Element[SeqAll, 19], 0, 1] ≟ 1, (2 * π), π]) → B19CurveCartesian((abs((Element[SeqAll, 21] - Element[SeqAll, 20]) / 2) * cos(u)) + (Element[SeqAll, 21] + Element[SeqAll, 20]) / 2, (abs((Element[SeqAll, 21] - Element[SeqAll, 20]) / 2) * sin(u)), u, If[If[Element[SeqAll, 21] > Element[SeqAll, 20], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 21] > Element[SeqAll, 20], 0, 1] ≟ 1, (2 * π), π]) → B20CurveCartesian((abs((Element[SeqAll, 22] - Element[SeqAll, 21]) / 2) * cos(u)) + (Element[SeqAll, 22] + Element[SeqAll, 21]) / 2, (abs((Element[SeqAll, 22] - Element[SeqAll, 21]) / 2) * sin(u)), u, If[If[Element[SeqAll, 22] > Element[SeqAll, 21], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 22] > Element[SeqAll, 21], 0, 1] ≟ 1, (2 * π), π]) → B21CurveCartesian((abs((Element[SeqAll, 23] - Element[SeqAll, 22]) / 2) * cos(u)) + (Element[SeqAll, 23] + Element[SeqAll, 22]) / 2, (abs((Element[SeqAll, 23] - Element[SeqAll, 22]) / 2) * sin(u)), u, If[If[Element[SeqAll, 23] > Element[SeqAll, 22], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 23] > Element[SeqAll, 22], 0, 1] ≟ 1, (2 * π), π]) → B22CurveCartesian((abs((Element[SeqAll, 24] - Element[SeqAll, 23]) / 2) * cos(u)) + (Element[SeqAll, 24] + Element[SeqAll, 23]) / 2, (abs((Element[SeqAll, 24] - Element[SeqAll, 23]) / 2) * sin(u)), u, If[If[Element[SeqAll, 24] > Element[SeqAll, 23], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 24] > Element[SeqAll, 23], 0, 1] ≟ 1, (2 * π), π]) → B23CurveCartesian((abs((Element[SeqAll, 25] - Element[SeqAll, 24]) / 2) * cos(u)) + (Element[SeqAll, 25] + Element[SeqAll, 24]) / 2, (abs((Element[SeqAll, 25] - Element[SeqAll, 24]) / 2) * sin(u)), u, If[If[Element[SeqAll, 25] > Element[SeqAll, 24], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 25] > Element[SeqAll, 24], 0, 1] ≟ 1, (2 * π), π]) → B24CurveCartesian((abs((Element[SeqAll, 26] - Element[SeqAll, 25]) / 2) * cos(u)) + (Element[SeqAll, 26] + Element[SeqAll, 25]) / 2, (abs((Element[SeqAll, 26] - Element[SeqAll, 25]) / 2) * sin(u)), u, If[If[Element[SeqAll, 26] > Element[SeqAll, 25], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 26] > Element[SeqAll, 25], 0, 1] ≟ 1, (2 * π), π]) → B25CurveCartesian((abs((Element[SeqAll, 27] - Element[SeqAll, 26]) / 2) * cos(u)) + (Element[SeqAll, 27] + Element[SeqAll, 26]) / 2, (abs((Element[SeqAll, 27] - Element[SeqAll, 26]) / 2) * sin(u)), u, If[If[Element[SeqAll, 27] > Element[SeqAll, 26], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 27] > Element[SeqAll, 26], 0, 1] ≟ 1, (2 * π), π]) → B26CurveCartesian((abs((Element[SeqAll, 28] - Element[SeqAll, 27]) / 2) * cos(u)) + (Element[SeqAll, 28] + Element[SeqAll, 27]) / 2, (abs((Element[SeqAll, 28] - Element[SeqAll, 27]) / 2) * sin(u)), u, If[If[Element[SeqAll, 28] > Element[SeqAll, 27], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 28] > Element[SeqAll, 27], 0, 1] ≟ 1, (2 * π), π]) → B27CurveCartesian((abs((Element[SeqAll, 29] - Element[SeqAll, 28]) / 2) * cos(u)) + (Element[SeqAll, 29] + Element[SeqAll, 28]) / 2, (abs((Element[SeqAll, 29] - Element[SeqAll, 28]) / 2) * sin(u)), u, If[If[Element[SeqAll, 29] > Element[SeqAll, 28], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 29] > Element[SeqAll, 28], 0, 1] ≟ 1, (2 * π), π]) → B28CurveCartesian((abs((Element[SeqAll, 30] - Element[SeqAll, 29]) / 2) * cos(u)) + (Element[SeqAll, 30] + Element[SeqAll, 29]) / 2, (abs((Element[SeqAll, 30] - Element[SeqAll, 29]) / 2) * sin(u)), u, If[If[Element[SeqAll, 30] > Element[SeqAll, 29], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 30] > Element[SeqAll, 29], 0, 1] ≟ 1, (2 * π), π]) → B29CurveCartesian((abs((Element[SeqAll, 31] - Element[SeqAll, 30]) / 2) * cos(u)) + (Element[SeqAll, 31] + Element[SeqAll, 30]) / 2, (abs((Element[SeqAll, 31] - Element[SeqAll, 30]) / 2) * sin(u)), u, If[If[Element[SeqAll, 31] > Element[SeqAll, 30], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 31] > Element[SeqAll, 30], 0, 1] ≟ 1, (2 * π), π]) → B30CurveCartesian((abs((Element[SeqAll, 32] - Element[SeqAll, 31]) / 2) * cos(u)) + (Element[SeqAll, 32] + Element[SeqAll, 31]) / 2, (abs((Element[SeqAll, 32] - Element[SeqAll, 31]) / 2) * sin(u)), u, If[If[Element[SeqAll, 32] > Element[SeqAll, 31], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 32] > Element[SeqAll, 31], 0, 1] ≟ 1, (2 * π), π]) → B31CurveCartesian((abs((Element[SeqAll, 33] - Element[SeqAll, 32]) / 2) * cos(u)) + (Element[SeqAll, 33] + Element[SeqAll, 32]) / 2, (abs((Element[SeqAll, 33] - Element[SeqAll, 32]) / 2) * sin(u)), u, If[If[Element[SeqAll, 33] > Element[SeqAll, 32], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 33] > Element[SeqAll, 32], 0, 1] ≟ 1, (2 * π), π]) → B32CurveCartesian((abs((Element[SeqAll, 34] - Element[SeqAll, 33]) / 2) * cos(u)) + (Element[SeqAll, 34] + Element[SeqAll, 33]) / 2, (abs((Element[SeqAll, 34] - Element[SeqAll, 33]) / 2) * sin(u)), u, If[If[Element[SeqAll, 34] > Element[SeqAll, 33], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 34] > Element[SeqAll, 33], 0, 1] ≟ 1, (2 * π), π]) → B33CurveCartesian((abs((Element[SeqAll, 35] - Element[SeqAll, 34]) / 2) * cos(u)) + (Element[SeqAll, 35] + Element[SeqAll, 34]) / 2, (abs((Element[SeqAll, 35] - Element[SeqAll, 34]) / 2) * sin(u)), u, If[If[Element[SeqAll, 35] > Element[SeqAll, 34], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 35] > Element[SeqAll, 34], 0, 1] ≟ 1, (2 * π), π]) → B34CurveCartesian((abs((Element[SeqAll, 36] - Element[SeqAll, 35]) / 2) * cos(u)) + (Element[SeqAll, 36] + Element[SeqAll, 35]) / 2, (abs((Element[SeqAll, 36] - Element[SeqAll, 35]) / 2) * sin(u)), u, If[If[Element[SeqAll, 36] > Element[SeqAll, 35], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 36] > Element[SeqAll, 35], 0, 1] ≟ 1, (2 * π), π]) → B35CurveCartesian((abs((Element[SeqAll, 37] - Element[SeqAll, 36]) / 2) * cos(u)) + (Element[SeqAll, 37] + Element[SeqAll, 36]) / 2, (abs((Element[SeqAll, 37] - Element[SeqAll, 36]) / 2) * sin(u)), u, If[If[Element[SeqAll, 37] > Element[SeqAll, 36], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 37] > Element[SeqAll, 36], 0, 1] ≟ 1, (2 * π), π]) → B36CurveCartesian((abs((Element[SeqAll, 38] - Element[SeqAll, 37]) / 2) * cos(u)) + (Element[SeqAll, 38] + Element[SeqAll, 37]) / 2, (abs((Element[SeqAll, 38] - Element[SeqAll, 37]) / 2) * sin(u)), u, If[If[Element[SeqAll, 38] > Element[SeqAll, 37], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 38] > Element[SeqAll, 37], 0, 1] ≟ 1, (2 * π), π]) → B37CurveCartesian((abs((Element[SeqAll, 39] - Element[SeqAll, 38]) / 2) * cos(u)) + (Element[SeqAll, 39] + Element[SeqAll, 38]) / 2, (abs((Element[SeqAll, 39] - Element[SeqAll, 38]) / 2) * sin(u)), u, If[If[Element[SeqAll, 39] > Element[SeqAll, 38], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 39] > Element[SeqAll, 38], 0, 1] ≟ 1, (2 * π), π]) → B38CurveCartesian((abs((Element[SeqAll, 40] - Element[SeqAll, 39]) / 2) * cos(u)) + (Element[SeqAll, 40] + Element[SeqAll, 39]) / 2, (abs((Element[SeqAll, 40] - Element[SeqAll, 39]) / 2) * sin(u)), u, If[If[Element[SeqAll, 40] > Element[SeqAll, 39], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 40] > Element[SeqAll, 39], 0, 1] ≟ 1, (2 * π), π]) → B39CurveCartesian((abs((Element[SeqAll, 41] - Element[SeqAll, 40]) / 2) * cos(u)) + (Element[SeqAll, 41] + Element[SeqAll, 40]) / 2, (abs((Element[SeqAll, 41] - Element[SeqAll, 40]) / 2) * sin(u)), u, If[If[Element[SeqAll, 41] > Element[SeqAll, 40], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 41] > Element[SeqAll, 40], 0, 1] ≟ 1, (2 * π), π]) → B40CurveCartesian((abs((Element[SeqAll, 42] - Element[SeqAll, 41]) / 2) * cos(u)) + (Element[SeqAll, 42] + Element[SeqAll, 41]) / 2, (abs((Element[SeqAll, 42] - Element[SeqAll, 41]) / 2) * sin(u)), u, If[If[Element[SeqAll, 42] > Element[SeqAll, 41], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 42] > Element[SeqAll, 41], 0, 1] ≟ 1, (2 * π), π]) → B41CurveCartesian((abs((Element[SeqAll, 43] - Element[SeqAll, 42]) / 2) * cos(u)) + (Element[SeqAll, 43] + Element[SeqAll, 42]) / 2, (abs((Element[SeqAll, 43] - Element[SeqAll, 42]) / 2) * sin(u)), u, If[If[Element[SeqAll, 43] > Element[SeqAll, 42], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 43] > Element[SeqAll, 42], 0, 1] ≟ 1, (2 * π), π]) → B42CurveCartesian((abs((Element[SeqAll, 44] - Element[SeqAll, 43]) / 2) * cos(u)) + (Element[SeqAll, 44] + Element[SeqAll, 43]) / 2, (abs((Element[SeqAll, 44] - Element[SeqAll, 43]) / 2) * sin(u)), u, If[If[Element[SeqAll, 44] > Element[SeqAll, 43], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 44] > Element[SeqAll, 43], 0, 1] ≟ 1, (2 * π), π]) → B43CurveCartesian((abs((Element[SeqAll, 45] - Element[SeqAll, 44]) / 2) * cos(u)) + (Element[SeqAll, 45] + Element[SeqAll, 44]) / 2, (abs((Element[SeqAll, 45] - Element[SeqAll, 44]) / 2) * sin(u)), u, If[If[Element[SeqAll, 45] > Element[SeqAll, 44], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 45] > Element[SeqAll, 44], 0, 1] ≟ 1, (2 * π), π]) → B44CurveCartesian((abs((Element[SeqAll, 46] - Element[SeqAll, 45]) / 2) * cos(u)) + (Element[SeqAll, 46] + Element[SeqAll, 45]) / 2, (abs((Element[SeqAll, 46] - Element[SeqAll, 45]) / 2) * sin(u)), u, If[If[Element[SeqAll, 46] > Element[SeqAll, 45], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 46] > Element[SeqAll, 45], 0, 1] ≟ 1, (2 * π), π]) → B45CurveCartesian((abs((Element[SeqAll, 47] - Element[SeqAll, 46]) / 2) * cos(u)) + (Element[SeqAll, 47] + Element[SeqAll, 46]) / 2, (abs((Element[SeqAll, 47] - Element[SeqAll, 46]) / 2) * sin(u)), u, If[If[Element[SeqAll, 47] > Element[SeqAll, 46], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 47] > Element[SeqAll, 46], 0, 1] ≟ 1, (2 * π), π]) → B46CurveCartesian((abs((Element[SeqAll, 48] - Element[SeqAll, 47]) / 2) * cos(u)) + (Element[SeqAll, 48] + Element[SeqAll, 47]) / 2, (abs((Element[SeqAll, 48] - Element[SeqAll, 47]) / 2) * sin(u)), u, If[If[Element[SeqAll, 48] > Element[SeqAll, 47], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 48] > Element[SeqAll, 47], 0, 1] ≟ 1, (2 * π), π]) → B47CurveCartesian((abs((Element[SeqAll, 49] - Element[SeqAll, 48]) / 2) * cos(u)) + (Element[SeqAll, 49] + Element[SeqAll, 48]) / 2, (abs((Element[SeqAll, 49] - Element[SeqAll, 48]) / 2) * sin(u)), u, If[If[Element[SeqAll, 49] > Element[SeqAll, 48], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 49] > Element[SeqAll, 48], 0, 1] ≟ 1, (2 * π), π]) → B48CurveCartesian((abs((Element[SeqAll, 50] - Element[SeqAll, 49]) / 2) * cos(u)) + (Element[SeqAll, 50] + Element[SeqAll, 49]) / 2, (abs((Element[SeqAll, 50] - Element[SeqAll, 49]) / 2) * sin(u)), u, If[If[Element[SeqAll, 50] > Element[SeqAll, 49], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 50] > Element[SeqAll, 49], 0, 1] ≟ 1, (2 * π), π]) → B49CurveCartesian((abs((Element[SeqAll, 51] - Element[SeqAll, 50]) / 2) * cos(u)) + (Element[SeqAll, 51] + Element[SeqAll, 50]) / 2, (abs((Element[SeqAll, 51] - Element[SeqAll, 50]) / 2) * sin(u)), u, If[If[Element[SeqAll, 51] > Element[SeqAll, 50], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 51] > Element[SeqAll, 50], 0, 1] ≟ 1, (2 * π), π]) → B50CurveCartesian((abs((Element[SeqAll, 52] - Element[SeqAll, 51]) / 2) * cos(u)) + (Element[SeqAll, 52] + Element[SeqAll, 51]) / 2, (abs((Element[SeqAll, 52] - Element[SeqAll, 51]) / 2) * sin(u)), u, If[If[Element[SeqAll, 52] > Element[SeqAll, 51], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 52] > Element[SeqAll, 51], 0, 1] ≟ 1, (2 * π), π]) → B51CurveCartesian((abs((Element[SeqAll, 53] - Element[SeqAll, 52]) / 2) * cos(u)) + (Element[SeqAll, 53] + Element[SeqAll, 52]) / 2, (abs((Element[SeqAll, 53] - Element[SeqAll, 52]) / 2) * sin(u)), u, If[If[Element[SeqAll, 53] > Element[SeqAll, 52], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 53] > Element[SeqAll, 52], 0, 1] ≟ 1, (2 * π), π]) → B52CurveCartesian((abs((Element[SeqAll, 54] - Element[SeqAll, 53]) / 2) * cos(u)) + (Element[SeqAll, 54] + Element[SeqAll, 53]) / 2, (abs((Element[SeqAll, 54] - Element[SeqAll, 53]) / 2) * sin(u)), u, If[If[Element[SeqAll, 54] > Element[SeqAll, 53], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 54] > Element[SeqAll, 53], 0, 1] ≟ 1, (2 * π), π]) → B53CurveCartesian((abs((Element[SeqAll, 55] - Element[SeqAll, 54]) / 2) * cos(u)) + (Element[SeqAll, 55] + Element[SeqAll, 54]) / 2, (abs((Element[SeqAll, 55] - Element[SeqAll, 54]) / 2) * sin(u)), u, If[If[Element[SeqAll, 55] > Element[SeqAll, 54], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 55] > Element[SeqAll, 54], 0, 1] ≟ 1, (2 * π), π]) → B54CurveCartesian((abs((Element[SeqAll, 56] - Element[SeqAll, 55]) / 2) * cos(u)) + (Element[SeqAll, 56] + Element[SeqAll, 55]) / 2, (abs((Element[SeqAll, 56] - Element[SeqAll, 55]) / 2) * sin(u)), u, If[If[Element[SeqAll, 56] > Element[SeqAll, 55], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 56] > Element[SeqAll, 55], 0, 1] ≟ 1, (2 * π), π]) → B55CurveCartesian((abs((Element[SeqAll, 57] - Element[SeqAll, 56]) / 2) * cos(u)) + (Element[SeqAll, 57] + Element[SeqAll, 56]) / 2, (abs((Element[SeqAll, 57] - Element[SeqAll, 56]) / 2) * sin(u)), u, If[If[Element[SeqAll, 57] > Element[SeqAll, 56], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 57] > Element[SeqAll, 56], 0, 1] ≟ 1, (2 * π), π]) → B56CurveCartesian((abs((Element[SeqAll, 58] - Element[SeqAll, 57]) / 2) * cos(u)) + (Element[SeqAll, 58] + Element[SeqAll, 57]) / 2, (abs((Element[SeqAll, 58] - Element[SeqAll, 57]) / 2) * sin(u)), u, If[If[Element[SeqAll, 58] > Element[SeqAll, 57], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 58] > Element[SeqAll, 57], 0, 1] ≟ 1, (2 * π), π]) → B57CurveCartesian((abs((Element[SeqAll, 59] - Element[SeqAll, 58]) / 2) * cos(u)) + (Element[SeqAll, 59] + Element[SeqAll, 58]) / 2, (abs((Element[SeqAll, 59] - Element[SeqAll, 58]) / 2) * sin(u)), u, If[If[Element[SeqAll, 59] > Element[SeqAll, 58], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 59] > Element[SeqAll, 58], 0, 1] ≟ 1, (2 * π), π]) → B58CurveCartesian((abs((Element[SeqAll, 60] - Element[SeqAll, 59]) / 2) * cos(u)) + (Element[SeqAll, 60] + Element[SeqAll, 59]) / 2, (abs((Element[SeqAll, 60] - Element[SeqAll, 59]) / 2) * sin(u)), u, If[If[Element[SeqAll, 60] > Element[SeqAll, 59], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 60] > Element[SeqAll, 59], 0, 1] ≟ 1, (2 * π), π]) → B59CurveCartesian((abs((Element[SeqAll, 61] - Element[SeqAll, 60]) / 2) * cos(u)) + (Element[SeqAll, 61] + Element[SeqAll, 60]) / 2, (abs((Element[SeqAll, 61] - Element[SeqAll, 60]) / 2) * sin(u)), u, If[If[Element[SeqAll, 61] > Element[SeqAll, 60], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 61] > Element[SeqAll, 60], 0, 1] ≟ 1, (2 * π), π]) → B60CurveCartesian((abs((Element[SeqAll, 62] - Element[SeqAll, 61]) / 2) * cos(u)) + (Element[SeqAll, 62] + Element[SeqAll, 61]) / 2, (abs((Element[SeqAll, 62] - Element[SeqAll, 61]) / 2) * sin(u)), u, If[If[Element[SeqAll, 62] > Element[SeqAll, 61], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 62] > Element[SeqAll, 61], 0, 1] ≟ 1, (2 * π), π]) → B61CurveCartesian((abs((Element[SeqAll, 63] - Element[SeqAll, 62]) / 2) * cos(u)) + (Element[SeqAll, 63] + Element[SeqAll, 62]) / 2, (abs((Element[SeqAll, 63] - Element[SeqAll, 62]) / 2) * sin(u)), u, If[If[Element[SeqAll, 63] > Element[SeqAll, 62], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 63] > Element[SeqAll, 62], 0, 1] ≟ 1, (2 * π), π]) → B62CurveCartesian((abs((Element[SeqAll, 64] - Element[SeqAll, 63]) / 2) * cos(u)) + (Element[SeqAll, 64] + Element[SeqAll, 63]) / 2, (abs((Element[SeqAll, 64] - Element[SeqAll, 63]) / 2) * sin(u)), u, If[If[Element[SeqAll, 64] > Element[SeqAll, 63], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 64] > Element[SeqAll, 63], 0, 1] ≟ 1, (2 * π), π]) → B63CurveCartesian((abs((Element[SeqAll, 65] - Element[SeqAll, 64]) / 2) * cos(u)) + (Element[SeqAll, 65] + Element[SeqAll, 64]) / 2, (abs((Element[SeqAll, 65] - Element[SeqAll, 64]) / 2) * sin(u)), u, If[If[Element[SeqAll, 65] > Element[SeqAll, 64], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 65] > Element[SeqAll, 64], 0, 1] ≟ 1, (2 * π), π]) → B64CurveCartesian((abs((Element[SeqAll, 66] - Element[SeqAll, 65]) / 2) * cos(u)) + (Element[SeqAll, 66] + Element[SeqAll, 65]) / 2, (abs((Element[SeqAll, 66] - Element[SeqAll, 65]) / 2) * sin(u)), u, If[If[Element[SeqAll, 66] > Element[SeqAll, 65], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 66] > Element[SeqAll, 65], 0, 1] ≟ 1, (2 * π), π]) → B65CurveCartesian((abs((Element[SeqAll, 67] - Element[SeqAll, 66]) / 2) * cos(u)) + (Element[SeqAll, 67] + Element[SeqAll, 66]) / 2, (abs((Element[SeqAll, 67] - Element[SeqAll, 66]) / 2) * sin(u)), u, If[If[Element[SeqAll, 67] > Element[SeqAll, 66], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 67] > Element[SeqAll, 66], 0, 1] ≟ 1, (2 * π), π]) → B66CurveCartesian((abs((Element[SeqAll, 68] - Element[SeqAll, 67]) / 2) * cos(u)) + (Element[SeqAll, 68] + Element[SeqAll, 67]) / 2, (abs((Element[SeqAll, 68] - Element[SeqAll, 67]) / 2) * sin(u)), u, If[If[Element[SeqAll, 68] > Element[SeqAll, 67], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 68] > Element[SeqAll, 67], 0, 1] ≟ 1, (2 * π), π]) → B67CurveCartesian((abs((Element[SeqAll, 69] - Element[SeqAll, 68]) / 2) * cos(u)) + (Element[SeqAll, 69] + Element[SeqAll, 68]) / 2, (abs((Element[SeqAll, 69] - Element[SeqAll, 68]) / 2) * sin(u)), u, If[If[Element[SeqAll, 69] > Element[SeqAll, 68], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 69] > Element[SeqAll, 68], 0, 1] ≟ 1, (2 * π), π]) → B68CurveCartesian((abs((Element[SeqAll, 70] - Element[SeqAll, 69]) / 2) * cos(u)) + (Element[SeqAll, 70] + Element[SeqAll, 69]) / 2, (abs((Element[SeqAll, 70] - Element[SeqAll, 69]) / 2) * sin(u)), u, If[If[Element[SeqAll, 70] > Element[SeqAll, 69], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 70] > Element[SeqAll, 69], 0, 1] ≟ 1, (2 * π), π]) → B69CurveCartesian((abs((Element[SeqAll, 71] - Element[SeqAll, 70]) / 2) * cos(u)) + (Element[SeqAll, 71] + Element[SeqAll, 70]) / 2, (abs((Element[SeqAll, 71] - Element[SeqAll, 70]) / 2) * sin(u)), u, If[If[Element[SeqAll, 71] > Element[SeqAll, 70], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 71] > Element[SeqAll, 70], 0, 1] ≟ 1, (2 * π), π]) → B70CurveCartesian((abs((Element[SeqAll, 72] - Element[SeqAll, 71]) / 2) * cos(u)) + (Element[SeqAll, 72] + Element[SeqAll, 71]) / 2, (abs((Element[SeqAll, 72] - Element[SeqAll, 71]) / 2) * sin(u)), u, If[If[Element[SeqAll, 72] > Element[SeqAll, 71], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 72] > Element[SeqAll, 71], 0, 1] ≟ 1, (2 * π), π]) → B71CurveCartesian((abs((Element[SeqAll, 73] - Element[SeqAll, 72]) / 2) * cos(u)) + (Element[SeqAll, 73] + Element[SeqAll, 72]) / 2, (abs((Element[SeqAll, 73] - Element[SeqAll, 72]) / 2) * sin(u)), u, If[If[Element[SeqAll, 73] > Element[SeqAll, 72], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 73] > Element[SeqAll, 72], 0, 1] ≟ 1, (2 * π), π]) → B72CurveCartesian((abs((Element[SeqAll, 74] - Element[SeqAll, 73]) / 2) * cos(u)) + (Element[SeqAll, 74] + Element[SeqAll, 73]) / 2, (abs((Element[SeqAll, 74] - Element[SeqAll, 73]) / 2) * sin(u)), u, If[If[Element[SeqAll, 74] > Element[SeqAll, 73], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 74] > Element[SeqAll, 73], 0, 1] ≟ 1, (2 * π), π]) → B73CurveCartesian((abs((Element[SeqAll, 75] - Element[SeqAll, 74]) / 2) * cos(u)) + (Element[SeqAll, 75] + Element[SeqAll, 74]) / 2, (abs((Element[SeqAll, 75] - Element[SeqAll, 74]) / 2) * sin(u)), u, If[If[Element[SeqAll, 75] > Element[SeqAll, 74], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 75] > Element[SeqAll, 74], 0, 1] ≟ 1, (2 * π), π]) → B74CurveCartesian((abs((Element[SeqAll, 76] - Element[SeqAll, 75]) / 2) * cos(u)) + (Element[SeqAll, 76] + Element[SeqAll, 75]) / 2, (abs((Element[SeqAll, 76] - Element[SeqAll, 75]) / 2) * sin(u)), u, If[If[Element[SeqAll, 76] > Element[SeqAll, 75], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 76] > Element[SeqAll, 75], 0, 1] ≟ 1, (2 * π), π]) → B75CurveCartesian((abs((Element[SeqAll, 77] - Element[SeqAll, 76]) / 2) * cos(u)) + (Element[SeqAll, 77] + Element[SeqAll, 76]) / 2, (abs((Element[SeqAll, 77] - Element[SeqAll, 76]) / 2) * sin(u)), u, If[If[Element[SeqAll, 77] > Element[SeqAll, 76], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 77] > Element[SeqAll, 76], 0, 1] ≟ 1, (2 * π), π]) → B76CurveCartesian((abs((Element[SeqAll, 78] - Element[SeqAll, 77]) / 2) * cos(u)) + (Element[SeqAll, 78] + Element[SeqAll, 77]) / 2, (abs((Element[SeqAll, 78] - Element[SeqAll, 77]) / 2) * sin(u)), u, If[If[Element[SeqAll, 78] > Element[SeqAll, 77], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 78] > Element[SeqAll, 77], 0, 1] ≟ 1, (2 * π), π]) → B77CurveCartesian((abs((Element[SeqAll, 79] - Element[SeqAll, 78]) / 2) * cos(u)) + (Element[SeqAll, 79] + Element[SeqAll, 78]) / 2, (abs((Element[SeqAll, 79] - Element[SeqAll, 78]) / 2) * sin(u)), u, If[If[Element[SeqAll, 79] > Element[SeqAll, 78], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 79] > Element[SeqAll, 78], 0, 1] ≟ 1, (2 * π), π]) → B78CurveCartesian((abs((Element[SeqAll, 80] - Element[SeqAll, 79]) / 2) * cos(u)) + (Element[SeqAll, 80] + Element[SeqAll, 79]) / 2, (abs((Element[SeqAll, 80] - Element[SeqAll, 79]) / 2) * sin(u)), u, If[If[Element[SeqAll, 80] > Element[SeqAll, 79], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 80] > Element[SeqAll, 79], 0, 1] ≟ 1, (2 * π), π]) → B79CurveCartesian((abs((Element[SeqAll, 81] - Element[SeqAll, 80]) / 2) * cos(u)) + (Element[SeqAll, 81] + Element[SeqAll, 80]) / 2, (abs((Element[SeqAll, 81] - Element[SeqAll, 80]) / 2) * sin(u)), u, If[If[Element[SeqAll, 81] > Element[SeqAll, 80], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 81] > Element[SeqAll, 80], 0, 1] ≟ 1, (2 * π), π]) → B80CurveCartesian((abs((Element[SeqAll, 82] - Element[SeqAll, 81]) / 2) * cos(u)) + (Element[SeqAll, 82] + Element[SeqAll, 81]) / 2, (abs((Element[SeqAll, 82] - Element[SeqAll, 81]) / 2) * sin(u)), u, If[If[Element[SeqAll, 82] > Element[SeqAll, 81], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 82] > Element[SeqAll, 81], 0, 1] ≟ 1, (2 * π), π]) → B81CurveCartesian((abs((Element[SeqAll, 83] - Element[SeqAll, 82]) / 2) * cos(u)) + (Element[SeqAll, 83] + Element[SeqAll, 82]) / 2, (abs((Element[SeqAll, 83] - Element[SeqAll, 82]) / 2) * sin(u)), u, If[If[Element[SeqAll, 83] > Element[SeqAll, 82], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 83] > Element[SeqAll, 82], 0, 1] ≟ 1, (2 * π), π]) → B82CurveCartesian((abs((Element[SeqAll, 84] - Element[SeqAll, 83]) / 2) * cos(u)) + (Element[SeqAll, 84] + Element[SeqAll, 83]) / 2, (abs((Element[SeqAll, 84] - Element[SeqAll, 83]) / 2) * sin(u)), u, If[If[Element[SeqAll, 84] > Element[SeqAll, 83], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 84] > Element[SeqAll, 83], 0, 1] ≟ 1, (2 * π), π]) → B83CurveCartesian((abs((Element[SeqAll, 85] - Element[SeqAll, 84]) / 2) * cos(u)) + (Element[SeqAll, 85] + Element[SeqAll, 84]) / 2, (abs((Element[SeqAll, 85] - Element[SeqAll, 84]) / 2) * sin(u)), u, If[If[Element[SeqAll, 85] > Element[SeqAll, 84], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 85] > Element[SeqAll, 84], 0, 1] ≟ 1, (2 * π), π]) → B84CurveCartesian((abs((Element[SeqAll, 86] - Element[SeqAll, 85]) / 2) * cos(u)) + (Element[SeqAll, 86] + Element[SeqAll, 85]) / 2, (abs((Element[SeqAll, 86] - Element[SeqAll, 85]) / 2) * sin(u)), u, If[If[Element[SeqAll, 86] > Element[SeqAll, 85], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 86] > Element[SeqAll, 85], 0, 1] ≟ 1, (2 * π), π]) → B85CurveCartesian((abs((Element[SeqAll, 87] - Element[SeqAll, 86]) / 2) * cos(u)) + (Element[SeqAll, 87] + Element[SeqAll, 86]) / 2, (abs((Element[SeqAll, 87] - Element[SeqAll, 86]) / 2) * sin(u)), u, If[If[Element[SeqAll, 87] > Element[SeqAll, 86], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 87] > Element[SeqAll, 86], 0, 1] ≟ 1, (2 * π), π]) → B86CurveCartesian((abs((Element[SeqAll, 88] - Element[SeqAll, 87]) / 2) * cos(u)) + (Element[SeqAll, 88] + Element[SeqAll, 87]) / 2, (abs((Element[SeqAll, 88] - Element[SeqAll, 87]) / 2) * sin(u)), u, If[If[Element[SeqAll, 88] > Element[SeqAll, 87], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 88] > Element[SeqAll, 87], 0, 1] ≟ 1, (2 * π), π]) → B87CurveCartesian((abs((Element[SeqAll, 89] - Element[SeqAll, 88]) / 2) * cos(u)) + (Element[SeqAll, 89] + Element[SeqAll, 88]) / 2, (abs((Element[SeqAll, 89] - Element[SeqAll, 88]) / 2) * sin(u)), u, If[If[Element[SeqAll, 89] > Element[SeqAll, 88], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 89] > Element[SeqAll, 88], 0, 1] ≟ 1, (2 * π), π]) → B88CurveCartesian((abs((Element[SeqAll, 90] - Element[SeqAll, 89]) / 2) * cos(u)) + (Element[SeqAll, 90] + Element[SeqAll, 89]) / 2, (abs((Element[SeqAll, 90] - Element[SeqAll, 89]) / 2) * sin(u)), u, If[If[Element[SeqAll, 90] > Element[SeqAll, 89], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 90] > Element[SeqAll, 89], 0, 1] ≟ 1, (2 * π), π]) → B89CurveCartesian((abs((Element[SeqAll, 91] - Element[SeqAll, 90]) / 2) * cos(u)) + (Element[SeqAll, 91] + Element[SeqAll, 90]) / 2, (abs((Element[SeqAll, 91] - Element[SeqAll, 90]) / 2) * sin(u)), u, If[If[Element[SeqAll, 91] > Element[SeqAll, 90], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 91] > Element[SeqAll, 90], 0, 1] ≟ 1, (2 * π), π]) → B90CurveCartesian((abs((Element[SeqAll, 92] - Element[SeqAll, 91]) / 2) * cos(u)) + (Element[SeqAll, 92] + Element[SeqAll, 91]) / 2, (abs((Element[SeqAll, 92] - Element[SeqAll, 91]) / 2) * sin(u)), u, If[If[Element[SeqAll, 92] > Element[SeqAll, 91], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 92] > Element[SeqAll, 91], 0, 1] ≟ 1, (2 * π), π]) → B91CurveCartesian((abs((Element[SeqAll, 93] - Element[SeqAll, 92]) / 2) * cos(u)) + (Element[SeqAll, 93] + Element[SeqAll, 92]) / 2, (abs((Element[SeqAll, 93] - Element[SeqAll, 92]) / 2) * sin(u)), u, If[If[Element[SeqAll, 93] > Element[SeqAll, 92], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 93] > Element[SeqAll, 92], 0, 1] ≟ 1, (2 * π), π]) → B92CurveCartesian((abs((Element[SeqAll, 94] - Element[SeqAll, 93]) / 2) * cos(u)) + (Element[SeqAll, 94] + Element[SeqAll, 93]) / 2, (abs((Element[SeqAll, 94] - Element[SeqAll, 93]) / 2) * sin(u)), u, If[If[Element[SeqAll, 94] > Element[SeqAll, 93], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 94] > Element[SeqAll, 93], 0, 1] ≟ 1, (2 * π), π]) → B93CurveCartesian((abs((Element[SeqAll, 95] - Element[SeqAll, 94]) / 2) * cos(u)) + (Element[SeqAll, 95] + Element[SeqAll, 94]) / 2, (abs((Element[SeqAll, 95] - Element[SeqAll, 94]) / 2) * sin(u)), u, If[If[Element[SeqAll, 95] > Element[SeqAll, 94], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 95] > Element[SeqAll, 94], 0, 1] ≟ 1, (2 * π), π]) → B94CurveCartesian((abs((Element[SeqAll, 96] - Element[SeqAll, 95]) / 2) * cos(u)) + (Element[SeqAll, 96] + Element[SeqAll, 95]) / 2, (abs((Element[SeqAll, 96] - Element[SeqAll, 95]) / 2) * sin(u)), u, If[If[Element[SeqAll, 96] > Element[SeqAll, 95], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 96] > Element[SeqAll, 95], 0, 1] ≟ 1, (2 * π), π]) → B95CurveCartesian((abs((Element[SeqAll, 97] - Element[SeqAll, 96]) / 2) * cos(u)) + (Element[SeqAll, 97] + Element[SeqAll, 96]) / 2, (abs((Element[SeqAll, 97] - Element[SeqAll, 96]) / 2) * sin(u)), u, If[If[Element[SeqAll, 97] > Element[SeqAll, 96], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 97] > Element[SeqAll, 96], 0, 1] ≟ 1, (2 * π), π]) → B96CurveCartesian((abs((Element[SeqAll, 98] - Element[SeqAll, 97]) / 2) * cos(u)) + (Element[SeqAll, 98] + Element[SeqAll, 97]) / 2, (abs((Element[SeqAll, 98] - Element[SeqAll, 97]) / 2) * sin(u)), u, If[If[Element[SeqAll, 98] > Element[SeqAll, 97], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 98] > Element[SeqAll, 97], 0, 1] ≟ 1, (2 * π), π]) → B97CurveCartesian((abs((Element[SeqAll, 99] - Element[SeqAll, 98]) / 2) * cos(u)) + (Element[SeqAll, 99] + Element[SeqAll, 98]) / 2, (abs((Element[SeqAll, 99] - Element[SeqAll, 98]) / 2) * sin(u)), u, If[If[Element[SeqAll, 99] > Element[SeqAll, 98], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 99] > Element[SeqAll, 98], 0, 1] ≟ 1, (2 * π), π]) → B98CurveCartesian((abs((Element[SeqAll, 100] - Element[SeqAll, 99]) / 2) * cos(u)) + (Element[SeqAll, 100] + Element[SeqAll, 99]) / 2, (abs((Element[SeqAll, 100] - Element[SeqAll, 99]) / 2) * sin(u)), u, If[If[Element[SeqAll, 100] > Element[SeqAll, 99], 0, 1] ≟ 1, π, 0], If[If[Element[SeqAll, 100] > Element[SeqAll, 99], 0, 1] ≟ 1, (2 * π), π]) → B99Element(SeqAll, n) → bElement(SeqAll, n + 1) → c
AI 绘图提示语参考
绘制前 25 项斐波那契数列对 9 取模的值,再分别乘以 2 至 8 后再取模,将所有结果合并为一条序列。依序取相邻两项作为直径端点,在水平轴上画半圆弧:若后项大于前项则弧在轴上方,否则在下方。所有弧首尾相连,形成周期性波动图案,直观展示斐波那契数列模 9 的循环规律。
以上提示语为根据原始绘图命令整理而来,仅供参考。