Translation Transformation Tessellation

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2013-07-17 10:52

Polygon Vector

In collections Translation Tessellations

This example demonstrates how to use translation transformation to move a shape from one side of a figure to the opposite side, illustrating the concept of polygon tessellation. Key mathematical concepts include translation and polygons. It utilizes commands such as Polygon, Segment, Point, Vector, and Translate in GeoGebra. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

Polygon(A, B, 4) → poly1, a, b, c, d, C, D
Segment(A, E) → e
Segment(F, E) → f
Segment(G, F) → g
Point(a) → H
Segment(H, G) → h
Segment(I, H) → i
Segment(J, I) → j
Segment(K, J) → k
Segment(B, K) → l
Vector(B, C) → u
Translate(A, u) → A'
Translate(B, u) → B'
Segment(A', B') → a'
Translate(A, u) → A'_1
Translate(E, u) → E'
Segment(A'_1, E') → e'
Translate(F, u) → F'
Translate(E, u) → E'_1
Segment(F', E'_1) → f'
Translate(G, u) → G'
Translate(F, u) → F'_1
Segment(G', F'_1) → g'
Translate(H, u) → H'
Translate(G, u) → G'_1
Segment(H', G'_1) → h'
Translate(I, u) → I'
Translate(H, u) → H'_1
Segment(I', H'_1) → i'
Translate(J, u) → J'
Translate(I, u) → I'_1
Segment(J', I'_1) → j'
Translate(K, u) → K'
Translate(J, u) → J'_1
Segment(K', J'_1) → k'
Translate(B, u) → B'_1
Translate(K, u) → K'_1
Segment(B'_1, K'_1) → l'

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, then translate it using vector BC to get A'B'C'D'. Use A'B' as a side to draw a new quadrilateral, and use the new sides for further translations. Repeat this process to form a tessellation pattern composed of multiple quadrilaterals.

The prompt above was compiled from the original drawing commands and is for reference only.