Burning Tent Problem
10/17/14
Question 1: Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?
When you get the minimal path, the incoming and outgoing angle are approximately the same.
Question 2: Why is the path from points Camper to Tent Fire' the shortest path?
This is the shortest path between the camper and the tent, with a stop at the river, because the two distances are [theoretically] equal.
Question 3: Where should the point River be located in relation to segment Camper to Tent Fire' and line AB so that the sum of the distances is minimized?
The River should be placed directly in the middle of the Camper and the Tent because when the two distances are equal, than it decreases the time to go that distance.
Question 1: Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?
When you get the minimal path, the incoming and outgoing angle are approximately the same.
Question 2: Why is the path from points Camper to Tent Fire' the shortest path?
This is the shortest path between the camper and the tent, with a stop at the river, because the two distances are [theoretically] equal.
Question 3: Where should the point River be located in relation to segment Camper to Tent Fire' and line AB so that the sum of the distances is minimized?
The River should be placed directly in the middle of the Camper and the Tent because when the two distances are equal, than it decreases the time to go that distance.
Snail Trail Lab
9/18/14
I created the "snails" by first, creating the original one, and then reflecting that point over six lines that were equally spaced from each other. Something I noticed about the "snails" graffiti trails were that every other one in the circle would go in the same direction while the other ones would go in the opposite direction. Also, if it didn't have the tree indented tips, it would make a hexagon. My picture has three lines of reflectional symmetry, if you ignore the color. It also has rotational symmetry. The order of rotation being three and the angle of rotation is 120 degrees.
I created the "snails" by first, creating the original one, and then reflecting that point over six lines that were equally spaced from each other. Something I noticed about the "snails" graffiti trails were that every other one in the circle would go in the same direction while the other ones would go in the opposite direction. Also, if it didn't have the tree indented tips, it would make a hexagon. My picture has three lines of reflectional symmetry, if you ignore the color. It also has rotational symmetry. The order of rotation being three and the angle of rotation is 120 degrees.