Mathematical Modeling of the Rubber Pencil Illusion
2012-07-23 03:11
This applet mathematically models and demonstrates the famous 'Rubber Pencil Illusion.' Utilizing trigonometric functions (sine, cosine), similar triangles, and the unit circle, combined with GeoGebra's locus and transformation commands, it simulates the visual deformation effect produced when a pencil is rapidly oscillated at specific frequencies and amplitudes. By adjusting parameters such as am
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My First GeoGebra Picture Book
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<input a0="F'" a1="θ"/>
<output a0="loc2"/>
</command>
<element type="locus" label="loc2">
<show object="true" label="false" ev="4"/>
<condition showObject="TFloci"/>
<objColor r="160" g="160" b="160" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
</element>
</construction>
</geogebra>