Create polyhedrons with reflections about planes.[br][br]Explore the construction and learn how to create polyhedrons with [i]3D [/i]in [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i]. Then try it yourself by following the instructions below.

[table][tr][td]1.[/td][td][br][/td][td]Open the [i]Tools [i]View[/i][/i].[/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Select the [i]Point [/i]tool[i] [/i]and create a point on each axis.[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/td][td]Select the [i]Polygon [/i]tool and select the three created points. [br][b]Hint:[/b] Click the first point again to close the polygon.[/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_mirroratplane.png[/icon][/td][td]Select the [i]Reflect about Plane[/i] tool and select first the triangle and then the grey plane. [/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_plane.png[/icon][/td][td]Select the [i]Plane [/i]tool and select the y-axis and the z-axis to create a new plane. [/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_mirroratplane.png[/icon][/td][td]Select the [i]Reflect about Plane [/i]tool and reflect the already created part of the solid about the new plane. [/td][/tr][tr][td]7.[/td][td][/td][td]Repeat Step 5 & 6 to create a plane with the x-axis and z-axis and also reflect the created figures about this plane.[br][b]Hint: [/b]You can use the [i]Move [/i]tool to change the point of view. [br][/td][/tr][tr][td]8.[/td][td][/td][td]Switch to the [i]Algebra [/i][i]View [/i]and hide the created planes, by disabling the [i]Visibility [/i]button next to the planes.[/td][/tr][tr][td]9.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/d2/Ic_settings_black.svg/32px-Ic_settings_black.svg.png[/img][/td][td]Open the [i]Settings[/i] and deselect[i] Show Axes[/i] and [i]Show Plane[/i] to hide the axes and the plane.[/td][/tr][tr][td]10.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Select the [i]Move [/i]tool in the [i]Tools [/i][i]View [/i]and explore your construction.[br][/td][/tr][/table]

If you're using the [i]3D Calculator [/i]in [i]GeoGebra Calculator Suite[/i]on a mobile device you can switch to [i]AR mode[/i] 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!