Geometric Solids

  • Geometric Solids

    Manipulate various geometric solids and investigate their properties.

    Select a Shape: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron 

    Manipulate set shapes in the workspace. Click and drag the shape to move.

    Solid/Net: Toggle between solid and net to see different views of the selected shape.

    3521 Paint Color Palette: Select a color to color in faces, edges, and vertices. Click on elements to color them. Clicking again restores the default colors. As elements are colored, they are counted in the left panel. Note: In Net view, edges and vertices that overlap in Solid view only count once and are colored simultaneously.

    Transparent: Makes all faces transparent, so the opposite side of solid is visible. Note: This view only disables coloring. When toggled off, previous coloring will be reinstated.

    Shaded: Add shading to faces to make solids appear more three-dimensional.

    Zoom level: Zoom in and out by sliding the marker.

    Print: Prints nets directly to the printer.

    Reset: Restores default coloring and orientation of shapes.

    Select a Shape: My Own Net 

    Create your own net, and then print, cut, and fold to see if it forms a solid.

    3521 Select Select: Adds faces from the bank on the left and moves pieces.

    3521 Eraser Eraser: Erases individual faces.

    3521 Cut Scissors: Cuts pieces at edges.

    3521 Paint Color Palette: Colors faces, edges, and vertices as in other Select a Shape selections.

    Zoom level: Zoom in and out by sliding the marker.

    Print: Prints nets directly to the printer. Note: All faces must be connected to create a single net.

    Reset: Clears the workspace.

     

    Record the number of faces (f), edges (e), and vertices (v) for each shape. What relationship exists between f, e, and v? You can download and print the  Exploring Geometric Solids  activity sheet to guide your investigatio