Geometrica Examples

The parameters presented on this page are intended to help you to become familiar with Geometrica
These parameters are for Incendia EX V that has the Geometrica support
The parameters are:

Parameter	Preview	Remarks
Geometrica 1		Simple IFS boxes Open the parameter file with Incendia EX V, then export the file using the Geometrica button. In Geometrica, open the file with the Read IGM. A yellow box will appear on the preview panel. Change the Preview Type from baseshape to fractal, in order to see the fractal. Also, change the Triangle Type to "Solid Gr". Now change the Iter parameter (in the Baseshape menu), from 3 to 2 and then to 4, look to the Number of Faces that each iteration has. You will notice how fast they grow. Export the final model with the Generate button.
Geometrica 2		Simple Fern Open the parameter file with Incendia EX V, then export the file using the Geometrica button. Import the file in Geometrica and change the Preview Type to Fractal and the Triangle Type to Solid GR. Since the Fractal only has two transformations and the baseshape is a very simple one (An Octahedron), the iteration number (Iter) is larger than in the previus example. Now instead of changing the Iter parameter, change the Filter one. You will notice how the filtered iterations change model and also reduces the Face number. You can also play with the Radius parameter. Export the final model with the Generate button.
Geometrica 3		Baseshape Recursion Follow the steps of the previous examples for exporting from Incendia and Importing into Geometrica for the included parameter file. Change the Preview Type to Fractal and the Triangle Type to "Solid Gr." (Optional, if you want to see the triangles, leave this unchanged). Use the left mouse button over the fractal preview for rotate it. Try to make the preview to looks like the image presented here. Now change the Recursion parameter (in the Baseshape menu), from 0 to 3 and you will notice how the tetrahedrons become more curved as the recursive level is increased, but also the number of faces grows. Export the final model with the Generate button.
Geometrica 4		Baseshape Division Resolution Follow the steps of the previous examples for exporting from Incendia and Importing into Geometrica for the included parameter file. Change the preview and the triangle type and also rotate the model so you can see it clearly. Lower the X parameter in the Resolution control (in the Baseshape menu), and you will perceive how it affects the flower petals. Now change the Y parameter, and you will see how it affects the flower curvature. Export the final model with the Generate button.
Geometrica 5		The Mandelbrot Set Follow the steps of the previous examples for exporting from Incendia and importing into Geometrica for the included parameter file. Since the Mandelbrot set has no baseshapes, the baseshape preview and the fractal preview are the same. In the Resolution control change both X and Y values to 500. Nothing will be reflected on the preview, but the final mesh will be set to that resolution. Export the final model with the Generate button. Open in a 3D program like Meshlab, or Blender, and be sure to select the smooth normals option on them.
Geometrica 6		Multiple Baseshapes Follow the steps of the previous examples for exporting from Incendia and importing into Geometrica for the included parameter file. Apply the triangle shading to the preview as in the previous examples. Since this fractal has two baseshapes (tetrahedron and torus), you can use the baseshape browser Arrow Buttons to switch between both. Try to change the Radius of both baseshapes, also, since both baseshapes use different controls (recursion and division), only the appropriate control will become visible on the selected baseshape. Export the final model with the Generate button.
Geometrica 7		Animations Follow the steps of the previous examples for exporting from Incendia and importing into Geometrica for the included parameter file. Apply the triangle shading to the preview as in the previous examples. Since the baseshape has animation parameters, in the lower part of the baseshape panel a message will appear, telling the number of frames for a complete rotation (36), also the baseshape will begin to rotate on the preview. Go to the baseshape Animation Tab and adjust the number of mesh frames that you want to generate (Note: 36 frames are required for a full rotation, but since the octahedron has a four side symmetry, 36/4=9, that means that you only need to generate 9 frames for this particular case). Press the Generate Anim button and set a base name (the frame number will be appended to that name). The mesh generation will starts and a counter will show show how many mesh frames are generated.