Polyhedrons with reflections
Task
Create polyhedrons with reflections about planes.
Explore the construction and learn how to create polyhedrons with GeoGebra 3D Calculator. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
| 1. | Open the Tools View. | |
| 2. |  | Select the Point tool and create a point on each axis. |
| 3. |  | Select the Polygon tool and select the three created points. Hint: Click the first point again to close the polygon. |
| 4. |  | Select the Reflect about Plane tool and select first the triangle and then the grey plane. |
| 5. |  | Select the Plane tool and select the y-axis and the z-axis to create a new plane. |
| 6. | | Select the Reflect about Plane tool and reflect the already created part of the solid about the new plane. |
| 7. | | Repeat Step 5 & 6 to create a plane with the x-axis and z-axis and also reflect the created figures about this plane. Hint: You can use the Move tool to change the point of view. |
| 8. | | Switch to the Algebra View and hide the created planes, by disabling the Visibility button next to the planes. |
| 9. |  | Open the Settings and deselect Show Axes and Show Plane to hide the axes and the plane. |
| 10. |  | Select the Move tool in the Tools View and explore your construction. |
Try it yourself...
Augmented Reality
If you're using GeoGebra 3D Calculator on a mobile device you can switch to AR mode to place your created math objects on any flat surface (e.g. table, floor, ...) around you and walk around them. Explore your constructions from a new perspective!