EUCLIDEAN SCALING TAXICAB GEOMETRY SPHERICAL TOPOLOGY & GEOMETRY GEOMETRY DIMENSION If a 4-inch-tall, 6-inch-wide The taxicab distance between The angles in any triangle have photograph is enlarged without two points is usually ( shorter A shortest path in any given sphere # torus = ? measures that add up to this. distortion to be 28 inches tall, this than / equal to / longer than ) the geometry is called this. is the width. Euclidean distance between the two points. to the nearest tenth, the a 16-inch pizza has this much The set of all points that are a A circle with the largest circumference of a circle with a cheese, compared to a 10-inch fixed taxicab distance from a possible radius of any circle circle x circle = ? diameter of 17 inches pizza given point is called this. on a sphere is called this. the scaling factor for a toy train The set containing every point the length of a diagonal of a measuring 5 feet long that is a that is equal taxicab distance The larger the turning radius at the result of cutting a Möbius band rectangle measuring 7 feet model of a real train that is 435 from each of two given points is a point on a curve, the _______ "down the middle" by 24 feet feet long called this. the curvature at that point. The shortest path on the earth between two cities that are 180 the area inside a triangle with a a 10-inch pizza has this much This is a situation in which the degrees apart on the 60-degree base measuring 24 feet and a cheese, compared to a 16-inch taxicab bisector of two points is parallel is ( along the equator; the number of vertices in a 5-cube height measuring 7 feet pizza simply a (straight) line. along meridians; along the parallel ). A billiard ball is 2.25 inches in Typically, the set of points A spherical triangle with angles to the nearest whole unit, the diameter and weighs 0.35 pound. taxicab-between two given that add up to 630 degrees will area inside a circle with a If a ball were 9 inches in diameter points is ( 0 / 1 / 2 / 3 / 4 ) enclose this fraction of the the number of 3-cubes in a 5-cube diameter of 17 inches and made of the same material as -dimensional. sphere's surface area. a billiard ball, it would weigh this..