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Linkages
This example demonstrates the motion trajectories and geometric relationships of linkages. It involves core math concepts like geometric constructions, sequences, and transformations. The construction uses GeoGebra commands Sequence (for generating sequences) and objects like barras (bar charts). Suitable for high school students learning geometric transformations, sequences, and mechanical principles.
GeoGebra Commands & Parameters
Sequence(Segment[Object[("A" * k)], Object[("A" * (k + 1))]], k, 1, 39) → barras, {0.9999999999999976, 1.0000000000000075, 1.0000000000000393, 1.0000000000000318, 1.0000000000000369, 1.0000000000000315, 1.0000000000000226, 0.9999999999999808, 0.9999999999999932, 0.9999999999999899, 0.9999999999999877, 0.9999999999998656, 0.9999999999999627, 0.999999999999936, 1.0000000000000473, 1.0000000000001412, 0.9999999999999504, 1.0000000000000688, 0.9999999999999468, 0.9999999999999807, 1.0000000000000016, 1.000000000000017, 0.9999999999999918, 0.9999999999999931, 1.0000000000000027, 1.0000000000000002, 1.0000000000000144, 1, 0.9999999999999972, 1.0000000000000615, 1.0000000000000029, 0.9999999999999941, 1.0000000000000104, 0.9999999999999606, 0.9999999999999978, 1.000000000000013, 1.0000000000000002, 0.9999999999999929, 1.0000000000000213}
AI Drawing Prompt Reference
Create a planar construction that produces a chain of segments from step 1 to step 39. Start from an initial pair of points defining a segment, then generate successive segments by advancing the endpoints according to a consistent step index relationship, so each new segment connects the corresponding consecutive endpoint positions. Display the value associated with each segment (for example, its length or equivalent measurement) as a bar chart: the x-axis represents the step number and the y-axis the measured values. Show both the evolving segments and the bars to visualize how geometric relationships vary along the sequence.
The prompt above was compiled from the original drawing commands and is for reference only.