Why Do We Disagree With Kepler?
4. Do you agree with Kepler? Explain. Yes I agree with Kepler because of the definition of matter. Which is anything that has mass and takes up space. So any object that has matter can be considered geometry.
5. In grade school teachers often have geometry scavenger hunts; they ask students to find as many triangles, rectangles, and circles as they can. Spend a few minutes doing this. Write down all of the basic shapes that you find. Let’s see what happens if we are not confined to thinking of geometry as something motivated by basic shapes. How about a snowflake?
• The door, TV, cup, light bulb, and dresser.
• I think a snowflake would be considered a part of geometry because it is combined with different shapes. 6. Most of us have …show more content…
The goal now is to stack the spheres so that they rise vertically more than one layer. Add several more spheres to your collection and see if you can determine how to stack them so they take up the least space. Describe your stacking. Can you explain why you think this packing is the most efficient? Stacking the spheres was hard to do but I found that stacking them in a triangular shape was the most efficient when doing multiple layers. I stacked them layer by layer and it was difficult to get each layer to keep from falling at first.
12. Name some spherical objects that you have seen stacked. Is this stacking essentially the same as the one that you found? Explain. An example of a spherical object that I have seen stacked would be oranges at the store. They were stacked in a triangular shape.
13. Let’s continue to try to break free of the confines of basic shape geometry. Spend some time searching for things in the world around you that do not contain basic shapes, but rather more complicated, interesting geometric shapes, especially if these things do not have exact geometric names. Keep a list of the interesting things you have found.
• Windows at churches, paintings, cars, airplanes, roads, light fixtures, and jewelry.
14. Compare your new list with your earlier basic shapes list. What do you notice? Contrast what you have found with the Mandelbrot quote
5. In grade school teachers often have geometry scavenger hunts; they ask students to find as many triangles, rectangles, and circles as they can. Spend a few minutes doing this. Write down all of the basic shapes that you find. Let’s see what happens if we are not confined to thinking of geometry as something motivated by basic shapes. How about a snowflake?
• The door, TV, cup, light bulb, and dresser.
• I think a snowflake would be considered a part of geometry because it is combined with different shapes. 6. Most of us have …show more content…
The goal now is to stack the spheres so that they rise vertically more than one layer. Add several more spheres to your collection and see if you can determine how to stack them so they take up the least space. Describe your stacking. Can you explain why you think this packing is the most efficient? Stacking the spheres was hard to do but I found that stacking them in a triangular shape was the most efficient when doing multiple layers. I stacked them layer by layer and it was difficult to get each layer to keep from falling at first.
12. Name some spherical objects that you have seen stacked. Is this stacking essentially the same as the one that you found? Explain. An example of a spherical object that I have seen stacked would be oranges at the store. They were stacked in a triangular shape.
13. Let’s continue to try to break free of the confines of basic shape geometry. Spend some time searching for things in the world around you that do not contain basic shapes, but rather more complicated, interesting geometric shapes, especially if these things do not have exact geometric names. Keep a list of the interesting things you have found.
• Windows at churches, paintings, cars, airplanes, roads, light fixtures, and jewelry.
14. Compare your new list with your earlier basic shapes list. What do you notice? Contrast what you have found with the Mandelbrot quote