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Discussion problem from my math class
We had a pretty interesting discussion in my online math class this week. Here was the prompt from my teacher:
Module 13: Color Planet
People who write about the theory of color often envision the range of visible colors as a geometric "color solid." To explore this concept, imagine we live on a planet of which every cubic inch is a different color. The familiar "color wheel," containing the colors of the rainbow at their highest intensities, is a band around the equator. The North pole is pure white and the South pole is pure black. Let's say pure red is located at the point of 0º latitude and 0º longitude, with yellow at 120º W and blue at 120º E of this point (I am using the simplified red-yellow-blue color wheel we all learned about in grade school–you CMY and RGB sophisticates can keep your comments to yourselves for now!)
Describe what it would be like to travel around this planet. What colors are on the North-South axis through the center of the planet? What color do you think corresponds to the place you were born? What would happen, color-wise, if you moved West from that location? What about if you moved North? What happens if you dig straight down? Can you come up with any general rules relating movement on or within the planet to what color changes you'd experience?
If all visible colors are uniformly distrbuted on and within this planet, what is its shape? Is it spherical like the Earth, or not? Explain your answer.
We'll be talking about both the nature of color perception and the geometrical mapping of space in this topic, so try to check in often throughout this module–there will be many further questions for you to comment on as we explore and develop our understanding of this color planet.
And my response: (after the many other responses to the orginal prompt the question turned to finding specific colors based on Lat./Long.) (more…)