平移法镶嵌 by jahatch8 (2)

几何画板及绘图内容加载中，请稍等……

2014-03-30 05:17

多边形变换几何作图

所属专题 Tesselation by Translation Tesselation by Translation

①本范例演示了通过平移操作创建平面镶嵌图案的过程；②涉及的核心数学概念包括平移变换、多边形构造、几何对称性；③作图要点——使用 GeoGebra 命令 Polygon 创建多边形，AttachCopyToView 实现平移复制，涉及对象 A, B, poly1, a, b, c, d, C, D 等；④适合初中及以上学生学习几何变换、空间图形与镶嵌知识，也可用于数学兴趣小组的实践演示。

GeoGebra 命令及参数

Polygon(A, B, 4) → poly1, a, b, c, d, C, D
AttachCopyToView(PolyLine[(3.56, -3.54), (3.48, -3.54), (3.4, -3.54), (3.34, -3.56), (3.2800000000000002, -3.58), (3.22, -3.6), (3.2, -3.66), (3.14, -3.72), (3.08, -3.7800000000000002), (3.06, -3.84), (3.02, -3.92), (2.96, -4.0200000000000005), (2.94, -4.08), (2.94, -4.16), (2.94, -4.24), (2.96, -4.32), (2.9, -4.34), (2.8000000000000003, -4.34), (2.7, -4.34), (2.62, -4.34), (2.54, -4.34), (2.46, -4.34), (2.38, -4.36), (2.32, -4.38), (2.2600000000000002, -4.4), (2.2, -4.44), (2.18, -4.5), (2.16, -4.5600000000000005), (2.14, -4.5), (2.14, -4.42), (2.12, -4.36), (2.06, -4.4), (2.04, -4.46), (2.04, -4.38), (2.04, -4.3), (2.04, -4.22), (2.08, -4.16), (2.1, -4.1), (2.18, -4.1), (2.2600000000000002, -4.1), (2.34, -4.1), (2.42, -4.1), (2.48, -4.08), (2.5, -4.0200000000000005), (2.48, -3.96), (2.44, -3.9), (2.44, -3.8200000000000003), (2.44, -3.74), (2.44, -3.66), (2.44, -3.58), (2.46, -3.52), (2.48, -3.44), (2.52, -3.38), (2.56, -3.3200000000000003), (2.62, -3.24), (2.56, -3.22), (2.5, -3.2), (2.44, -3.14), (2.36, -3.08), (2.34, -3.02), (2.2800000000000002, -2.94), (2.24, -2.88), (2.22, -2.82), (2.22, -2.74), (2.22, -2.64), (2.16, -2.6), (2.1, -2.64), (2.04, -2.66), (1.98, -2.68), (1.9000000000000001, -2.68), (1.82, -2.68), (1.76, -2.64), (1.74, -2.58), (1.68, -2.54), (1.6600000000000001, -2.46), (1.6400000000000001, -2.4), (1.58, -2.42), (1.5, -2.42), (1.42, -2.42), (1.32, -2.42), (1.26, -2.4), (1.22, -2.32), (1.16, -2.2600000000000002), (1.1, -2.22), (1.04, -2.24), (0.96, -2.2600000000000002), (0.9, -2.3000000000000003), (0.8200000000000001, -2.34), (0.76, -2.36), (0.68, -2.36), (0.58, -2.36), (0.5, -2.36), (0.44, -2.34), (0.38, -2.32), (0.32, -2.34), (0.26, -2.36), (0.18, -2.4), (0.16, -2.46), (0.12, -2.54), (0.08, -2.62), (0.04, -2.68), (0.02, -2.74), (0, -2.8000000000000003), (-0.08, -2.8000000000000003), (-0.14, -2.82), (-0.2, -2.86), (-0.24, -2.92), (-0.26, -3), (-0.26, -3.08), (-0.3, -3.14), (-0.36, -3.16), (-0.4, -3.22), (-0.44, -3.2800000000000002), (-0.5, -3.3200000000000003), (-0.52, -3.38), (-0.52, -3.46), (-0.46, -3.48), true], 1, (-4.3, -7.96), (23.38, 6.3), (0, 713), (1384, 0)) → stroke1

AI 绘图提示语参考

绘制一个由多个四边形组成的平移图案。首先，使用点A、B构造一个四边形，然后围绕这个四边形进行平移，生成一系列相似的四边形，形成一个平移图案。注意保持四边形的形状和大小不变，通过平移操作实现图案的扩展。

以上提示语为根据原始绘图命令整理而来，仅供参考。