Hans Walser, [20260701]

Moving Polygons

1 What it's about

Kinematic play with regular polygons

Adjacent polygons slide along a shared edge.

2 Examples

2.1 Equilateral Triangles

The first image (Fig. 1) shows a closing figure with six equilateral triangles. In the second image, the adjacent triangles each slide along a shared edge. The third image shows the path (blue) of the centers of the equilateral triangles and an outer frame (red). The respective outer edges of the equilateral squares move along this frame.

Fig. 1: Equilateral Triangles

2.2 Squares

The first image (Fig. 2) shows a closing figure with four squares. In the second image, the adjacent squares each slide along a shared edge. The third image shows the path (blue) of the centers of the squares and an outer frame (red). The respective outer corners of the squares move along this frame.

Fig. 2: Squares

2.3 Regular Pentagons

With pentagons, the figures overlap (Fig. 3).

Fig. 3: Regular Pentagons

2.4 Regular Hexagons

Fig. 4: Regular Hexagons

2.5 Regular Heptagons

Fig. 5: Regular Heptagons

2.6 Regular Octagons

Fig. 6: Regular Octagons

2.7 Regular Nonagons

Fig. 7: Regular Nonagons

2.8 Regular Decagons

Fig. 8: Regular Decagons

2.9 Regular Eleven-Sided Polygons

Fig. 9: Regular Eleven-Sided Polygons

2.10 Regular Dodecagons

Fig. 10: Regular Dodecagons

Weblinks

Hans Walser: Schließungsfigur mit Vielecken

https://walser-h-m.ch/hans/Miniaturen/S/Schliessungsfigur_mit_Vielecken/Schliessungsfigur_mit_Vielecken.html

Hans Walser: Closing Figure with Polygons

https://walser-h-m.ch/hans/Miniaturen/S/Schliessungsfigur_mit_Vielecken/Closing_Figure_with_Polygons.html

Hans Walser: Bewegte Dreiecke

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Dreiecke/Bewegte_Dreiecke.html

Hans Walser: Moving Triangles

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Dreiecke/Moving_Triangles.html

Hans Walser: Bewegte Fünfecke

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Fuenfecke/Bewegte_Fuenfecke.html

Hans Walser: Moving Pentagons

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Fuenfecke/Moving_Pentagons.html

Hans Walser: Bewegte Quadrate

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Quadrate/Bewegte_Quadrate.html

Hans Walser: Moving Squares

https://walser-h-m.ch/hans/Miniaturen/B/Bewegte_Quadrate/Moving_Squares.html