Hinged Tilings
1. Figure 1 Hinged squares
2. Figure 2 Hinged hexagons and triangles
3. Figure 3 Hinged squares, empty parallelograms
4. Figure 4 Centers of squares on parallelograms
5. Figure 5 Hinged hexagons, empty triangles
6. Figure 6 Hinged octagons and squares
7. Figure 7 Hinged triangles
8. Figure 8 Hinged hexagons with rods
9. Figure 9 Hinged squares with rods
10. Figure 10 Hinged triangles with rods
11. Instructions

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Hinged Tilings

alfinio, Jul 9, 2016

Interactive figures for hinged tilings. Acknowledgement: Valerie Limmina developed the GeoGebra files used for this book based on Geometer’s Sketchpad files made by the author.

1. Figure 1 Hinged squares
2. Figure 2 Hinged hexagons and triangles
3. Figure 3 Hinged squares, empty parallelograms
4. Figure 4 Centers of squares on parallelograms
5. Figure 5 Hinged hexagons, empty triangles
6. Figure 6 Hinged octagons and squares
7. Figure 7 Hinged triangles
8. Figure 8 Hinged hexagons with rods
9. Figure 9 Hinged squares with rods
10. Figure 10 Hinged triangles with rods
11. Instructions

1.

Figure 1 Hinged squares

Drag B and focus at special angles of the rhombus at B. [br][br]What kind of tiling do you get when the angle of the rhombus is 0˚ or 180˚? [br][br]What if the angle of the rhombus is 90˚? [br][br]What kind of tiling do you get when the angle of the rhombus is 60˚ or 120˚? [br]For this angle imagine each rhombus subdivided into two equilateral triangles. [br][br][br][br]

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Hinged Tilings

Figure 1 Hinged squares

Figure 1 Hinged squares

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