Möbius

[color=#999999]This activity belongs to the GeoGebra [i][url=https://www.geogebra.org/m/r2cexbgp]Road Runner (beep, beep)[/url][/i] book. [/color][br][br]In this case, we are traveling along the Möbius strip. The buttons labeled "0" and "0.5" allow you to go directly from an initial position to the same position after completing half of the full loop around the strip. Note that even though you return to the same position, the normal vector to the surface is the opposite of the starting vector. This happens because this surface, being one-sided, is non-orientable.[br][br][color=#cc0000]Note: To improve execution agility, it is recommended to download the GGB file. Remember that, in this case, it may be necessary to readjust the height of the 3D view to reposition the point in the desired position. For this adjustment, the magenta slider that appears once downloaded may be helpful (you may need to temporarily hide the 2D graphics view to see it).[/color]
[color=#999999][color=#999999]Author of the construction of GeoGebra: [color=#999999][url=https://www.geogebra.org/u/rafael]Rafael Losada[/url][/color][/color][/color]

Information: Möbius