Tessellation shapes install#
If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet. This applet requires Sun's Java VM 2 which your browser may perceive as a popup. The buttons "Copy" and "Copy and rotate" help create copies if that basic shape. Its shape can be modified by dragging its vertices. The applet below allows you to experiment with arbitrary quadrilaterals. However, no regularity is required of a quadrilateral to tessellate the plane: any simple, in particular a non convex, quadrilateral has this property. Squares, rectangles, parallelograms and trapezoids all are convex quadrilaterals with various degrees of regularity.
Our list of tessellating shapes is almost complete. A honeycomb supplies a model of the hexagonal tessellation: a regular hexagon, too, tessellates the plane.Īnd this is almost it. Any triangle therefore also tessellates the plane. Conversely, two copies of the same triangle put next to each other after one of them has been rotated a half-turn form a parallelogram. Each of these can be arranged into an infinite strip with parallel sides, copies of which will naturally cover the plane.Ī parallelogram is cut by either of its diagonals into two equal triangles.
Squares, rectangles, parallelograms, trapezoids tessellate the plane each in many ways. Simple Quadrilaterals Tessellate the PlaneĪ shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.
0 kommentar(er)
