Earl

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13 years, 162 days

MaplePrimes Activity


These are replies submitted by Earl

@vv Thank you!

Setting one of the two surface variables, beta, to its constant range limits, as you did above, displays a spacecurve on the surface's curved edge.

Repeating p2 with alpha set to its constant range limits displays the surface's horizontal straight line edges.

What criteria determine which surface variable in the spacecurve will display the curved edge?

What is displayed when your technique is applied to a single edge minimal surface such as a Mobius strip?

@acer Thank you Acer. I believe Maplesoft should simply add a color parameter to the title and caption plot parameters.

@Kitonum Thank you, Kitonum, but why can't Maplesoft simply add a color parameter to the title and caption plot options?

@Kitonum As do often in the past, you've given me a new insight.

@Kitonum A brilliant answer! Please explain.

@acer Thank you for these displays. It is enlightening to view the one with range m = 0..1 first along the t axis, then along the m axis.

@Carl Love Thanks to you and vv I believe I now understand the graph.

@vv Is this correct?

For each value of m on the graph, the y coordinate is the maximum for all real values of t, which value does not appear.

Could Maple create a plot of a 3D surface where, for each surface point, the x and y coordinates are m and t and the z coordinate is the maximum?

@vv Based on your hints, I will spend some time investigating.

@vv Thank you so much. Is there anywhere in Maple where complicated syntax such as this is explained or exampled?

@vv Thank you very much. Replacing floats with fractions produces correct results.

@Kitonum I have and continue to learn from you. Thank you.

@Kitonum A brilliant answer!

What would the transform be if the sphere were truncated by a plane z=f(x,y) e.g. z=x+y-2?

What would the transform be if the sphere were truncated by a non-planar surface e.g. a sphere radius 5 centred at [-2,0,0]?

@Preben Alsholm Thank you! Adding 'implicit' caused Maple 2016 to produce output similar to that of Maple 9.5 i.e. expressions for y(_T) and for x(_T). Apparently Maple 9.5 does not require 'implicit' to do this.

As you pointed out, the help page does provide information and examples.

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