Geometric examples

NOTE: The images shown on this page are only images! If you want to access the corresponding applets just click "EXAMPLE i", \(i= 1,2,3,4,5,6,7,8\) or the corresponding image.

WARNING: Sometimes applets take too long to load. If the waiting time exceeds 30 seconds it is advisable to close all windows of your browser and try to connect again.

NOTE: When handling applets, you will notice that when a curve leaves the viewport area (black rectangle) it will appear on the opposite side, as if the opposite sides were glued (as a consequence, the space where the curves are being plotted can be seen as a torus).

EXAMPLE 1: Construction of regular polygons. We can choose the number of sides as well as their lengths using the arrows (green bars with sliders)

regular polygon 1

EXAMPLE 2: Construction of a set of regular polygons that result from rotation by an angle whose magnitude is controlled by a slider.

regular polygon 2

EXAMPLE 3: Construction of a set of regular polygons resulting from each other by homotheties. These homotheties have their center in one of the vertices of the polygon and ratio controlled by a parameter that can be changed by a cursor.

regular polygon 3

EXAMPLE 4: Construction of curious polygonal images.

polygonal image 1

EXAMPLE 5: "Endless" constructions formed by polygonal lines.

polygonal lines

EXAMPLE 6: Construction of images formed by dots or polygonal lines.

dotted image

EXAMPLE 7: Construction of circles and circular arcs.

circle

EXAMPLE 8: Construction of images consisting of circles and circular arcs.

image consisting of circles and circular arcs

If StartLogo is installed on your computer and you want to see the EXAMPLES in this program, please import the files from the folder http://www.atractor.pt/mat/logo/exemplos: example1-_en.slogo, example2-_en.slogo, example3-_en.slogo, example4-_en.slogo, example5-_en.slogo, example6-_en.slogo, example7-_en.slogo, example8-_en.slogo. Open these files using the program.


(*) Difficulty level: Upper Secondary