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You are given a cylinder aligned with the z-axis, running from z = 0 to z = 3, and whose radius is 1. You are also given a texture map whose s coordinates range from 0 to 2.7, and whose t coordinates range from 0 to 1. You are to wrap the texture around the cylinder. Give the inverse mapping function which takes point (x, y, z) on the cylinder to point (s, t) on the texture.

You are given a cylinder aligned with the z-axis, running from z = 0 to z = 3, and whose radius is 1. You are also given a texture map whose s coordinates range from 0 to 2.7, and whose t coordinates range from 0 to 1. You are to wrap the texture around the cylinder. Give the inverse mapping function which takes point (x, y, z) on the cylinder to point (s, t) on the texture.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You are given a cylinder aligned with the z-axis, running from z = 0 to z = 3, and whose radius is 1. You are also given a texture map whose s coordinates range from 0 to 2.7, and whose t coordinates range from 0 to 1. You are to wrap the texture around the cylinder. Give the inverse mapping function which takes point (x, y, z) on the cylinder to point (s, t) on the texture.
Transcribed Image Text:You are given a cylinder aligned with the z-axis, running from z = 0 to z = 3, and whose radius is 1. You are also given a texture map whose s coordinates range from 0 to 2.7, and whose t coordinates range from 0 to 1. You are to wrap the texture around the cylinder. Give the inverse mapping function which takes point (x, y, z) on the cylinder to point (s, t) on the texture.
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