graphing x^2+y^2=1

[libmanagain]

Hi folks,

When I graph x^2+y^2=1 in 3d mode and examine the graph in the x-y plane there is a gap in the graph at the end of the domain of x.

See attached.


How can I correct this if at all?

As always thanks,
Libman

[Support]

Hi Libman,

That is a result of the way Autograph plots that type of equation numerically. We basically scan from left to right on the x-axis, the size of the steps along the x-axis determines how precise the plot it.

Click on Replot, select Manual and change the x-step to 0.01 for example. You should notice the circle edges getting closer to closing.

To produce a perfectly closing circle you will need to resort to the parametric form. This is plotted numerically by incrementing t which will avoid these issues, because t represents an angle:

x = cost, y = sint, z = 0

Best regards,

Simon