Solved Example:

Draw the letter T using a tube plot.

A tube plot draws a hollow tube instead of a line.

To draw a set of tube plots in 3-dimensions using parametric equations use the following Maple syntax:

plots[tubeplot]( { [g(t), h(t), k(t), t = a..b], [m(t), n(t), p(t), t = c..d] }, numpoints=5, radius = 1, axes = normal, scaling = constrained, orientation = [44,88] );

Solution:

> plots[tubeplot]({[0, t, 10, t = 6..14], [0, 10, t, t = 0..10]}, numpoints = 5, radius = 1, axes = normal, scaling = constrained, orientation = [44, 88] );

In the Maple command, the first part, [0, t, 10, t = 6..14] draws the horizontal

part of T and the second part [0, 10, t, t = 0..10] draws the vertical part of T.

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ASSIGNMENT

Problem:

a) Using tube plots, sketch the first three letters of your first name. If you name contains a curved letter, you can draw it by connecting a set of tubes.

b) For the first letter of your name, explain which parametric function draws which part of the letter and why. Use full sentences.

c) Choose one letter of your first name and sketch it using at least two different orientations and a different radius. Write one or two sentences comparing the two orientations.

Note: When choosing numbers for the orientation, try both negative and postive numbers.

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MSIP Grant #P120A80089-98: "Three Urban Calculus Reform Programs: Adopting the Best" 1998-2001