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Earl

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These are questions asked by Earl

How can Maple animate this family of pur...

Earl 930 Maple 2020
animation plotting
August 16 2023
2 6

This worksheet contains an unnamed theorem on page 202 of David Wells's book The Penguin Dictionary of Curious and Interesting Geometry.

Somehow I have uploaded both its contents and (a) link(s) to it.

What Maple code can animate and display, in turn, each of the portrayed pursuit paths?

Pursuit_problem.mw

 

Consider a target point T which moves at constant speed along a straight line, and a moving point P which at all times moves directly towards T. If P starts anywhere on the outermost ellipse, and T starts from a focus of the outer ellipse, then P always captures T at the same point, the centre of the ellipse.

 

> 

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The concentric ellipses, whose shape depends on the relative velocities of T and P, are isochrones, and the curves of pursuit are their isoclinal trajectories

 

Download Pursuit_problem

How can the surface common to two cylind...

Earl 930 Maple 2020
intersection cylinder plotting
July 30 2023
2 2

1) the two cylinders are centered on the x and z axis respectively

2) any two intersecting cylinders

How can Maple display all of the possibl...

Earl 930 Maple 2020
graphtheory triangulation polygon
April 29 2023
2 3

As an example, the second display in the web site below shows the 42 possible triangulations of a cyclic heptagon polygon.

https://en.wikipedia.org/wiki/Polygon_triangulation

Can a colored shape in the xy plane be p...

Earl 930 Maple 2020
sphere projection plotting
April 20 2023
1 2

Is there any simple way that the colored shape created in the xy plane by the uploaded code can be projected in the z direction onto the surface of the unit sphere centred at the origin?

Projection.mw

How can I search multiple worksheets for...

Earl 930 Maple 2020
February 12 2023
4 9

I would like to know which of the more than 100 worksheets I have in a Windows 11 folder execute the events operation within dsolve numeric.

Is there a way to identify which of this large number of Maple worksheets contain a given phrase e.g. "events"?

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