Superposing Star Polygons (2) (星形多邊形的疊合 2)

n = 3 ~ 26 (Click on the image for a larger view.)

n = 3 ~ 40

( Mathematical software used: GeoGebra )

Superposing Star Polygons (1) (星形多邊形的疊合 1)

Thirty-Two-Pointed Regular Star Polygons (n = 32)

( Mathematical softwares used: Graph, gnuplot )

Regular Polygons and Regular Star Polygons (正多邊形與正星形多邊形)

A polar representation of the regular star polygon {n/k} (or the regular polygon {n} when k = 1)
can be given by

Example files:

• Download a Graph example file here: Regular Polygons and Regular Star Polygons.
• Download a GeoGebra 3.2 example file here: Regular Star Polygon.
• Download a GeoGebra 4.0 example file here: Regular Star Polygon (for GeoGebra 4).

Cosine Star (3) (餘弦星 3)

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Softwares used: gnuplot, Ulead GIF Animator, GIMP )

Sine Star (3) (正弦星 3)

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Softwares used: gnuplot, Ulead GIF Animator, GIMP )

Cosine Star (2) (餘弦星 2)

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Softwares used: gnuplot, Ulead GIF Animator, GIMP )

Sine Star (2) (正弦星 2)

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Softwares used: gnuplot, Ulead GIF Animator, GIMP )