Guest Posted April 14, 2009 Report Share Posted April 14, 2009 one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following? What is a shape that has... 1. one surface? 2. two surfaces? 3. three surfaces? 4. four surfaces? 5. five surfaces? Hints can be given. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 (edited) I might not be doing this right but, one sided - a line or a sphere two sided - any 2 dimensional shape has a front and back. five sided is a prism. (extruded triangle) Is this the right track? Edited April 14, 2009 by palmerc7 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 three sided - cylinder four sided - cylinder cut in half Quote Link to comment Share on other sites More sharing options...
0 DudleyDude Posted April 14, 2009 Report Share Posted April 14, 2009 1. sphere 2. half-sphere (flat on the bottom, round on the top) 3. column 4. pyramid 5. square pyramid Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 three sided - cylinder four sided - cylinder cut in half three is right four isn't if you need a hint just ask Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following? What is a shape that has... 1. one surface? 2. two surfaces? 3. three surfaces? 4. four surfaces? 5. five surfaces? Hints can be given. 1: A sphere 2: A cone 3: A cylinder (and other similar constructs) 4: A 3-sided pyramid 5: A normal pyramid Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 1. sphere 2. half-sphere (flat on the bottom, round on the top) 3. column 4. pyramid 5. square pyramid 1. is right, 2 is not, and can you be more specific with the others.? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 1: A sphere 2: A cone 3: A cylinder (and other similar constructs) 4: A 3-sided pyramid 5: A normal pyramid yep for all, but what do you mean by a normal pyramid Quote Link to comment Share on other sites More sharing options...
0 DudleyDude Posted April 14, 2009 Report Share Posted April 14, 2009 1. is right, 2 is not, and can you be more specific with the others.? 3. column - I mean a round column that is flat on top and bottom. Like a big, tall stack of pancakes 4. pyramid - triangular sides and a triangular base (I always think of this as a normal pyramid) 5. square pyramid - square base and triangular sides Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 (edited) yep for all, but what do you mean by a normal pyramid as I see them has a square bottom surface, and 4 sides rising towards a common point elevated from the center of the bottom surface. Edited April 14, 2009 by uhre Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 All shapes are solid - or you could argue that there is a surface on the inside 1 surface: Sphere 2 surfaces: Cone 3 surfaces: Cylinder 4 surfaces: Pyramid (3 sides and bottom) 5 surfaces: Prism Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following? What is a shape that has... 1. one surface? 2. two surfaces? 3. three surfaces? 4. four surfaces? 5. five surfaces? Hints can be given. 1. klein bottle, mobius strip 2. a plane, a sphere, a torus, any 2 manifold regardless of genus topology anyone? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 (edited) one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following? What is a shape that has... 1. one surface? 2. two surfaces? 3. three surfaces? 4. four surfaces? 5. five surfaces? Hints can be given. 1 surface: Sphere 2 surfaces: cone 3 surfaces: cylinder 4 surfaces: triangular pyramid 5 surfaces: square pyramid Edited April 14, 2009 by tomaketu Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 (edited) 1. klein bottle, mobius strip 2. a plane, a sphere, a torus, any 2 manifold regardless of genus topology anyone? Doesn't a torus have one surface? Same with a sphere? Unless you're counting the inside and outside surfaces. But I think the OP wanted visible surfaces. Edited April 14, 2009 by tomaketu Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 Okay, so I looked up manifolds. Neat. Don't think that answers the question though. If I'm getting manifolds correctly, the surface of the sphere would be two dimensional manifold. Makes sense, but I think OP was asking or surfaces, not dimensions? Quote Link to comment Share on other sites More sharing options...
0 hugemonkey Posted April 14, 2009 Report Share Posted April 14, 2009 ...has one surface. If you cut it in half, each half would have 2 surfaces. This is topologically similar to a disk, a cone, or any two dimensional shape cut out of a piece of paper. Cut the 1/2 sphere in half again (1/4 sphere) and you have 3 surfaces, this would be also topologically similar to a cylinder. This one is a stretch but think of a cylinder that has the top and bottom circles are cut at an angle so that they touch. This is what I mean by topologically similar. Cut the 1/4 sphere in half (1/8 sphere) this would be topologically similar to a tetrahedron or Platonic pyramid with 4 triangular sides. Cut one corner off of the 1/8 sphere and you would have a five sided object that is topologically similar to triangular prism. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 14, 2009 Report Share Posted April 14, 2009 one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following? What is a shape that has... 1. one surface? 2. two surfaces? 3. three surfaces? 4. four surfaces? 5. five surfaces? Hints can be given. sphere hemi-sphere/paper/flat plane cylinder triangular-based pyrimid square-based pyramid Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 15, 2009 Report Share Posted April 15, 2009 as I see them has a square bottom surface, and 4 sides rising towards a common point elevated from the center of the bottom surface. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 16, 2009 Report Share Posted April 16, 2009 Palmerc7's answer for a 4 sided figure is correct just not as defined as it should be. I think they meant: A cylinder, oriented like an upright pillar, cut in half vertically would produce a top and bottom face, one flat side and one curved side. three sided - cylinder four sided - cylinder cut in half Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 16, 2009 Report Share Posted April 16, 2009 (edited) Yea, that is what I meant. And I know its right, just didn't feel like arguing.... I also see no distinction in number of "sides" between a hemi-sphere and a cone. Edited April 16, 2009 by palmerc7 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 16, 2009 Report Share Posted April 16, 2009 ...has one surface. If you cut it in half, each half would have 2 surfaces. This is topologically similar to a disk, a cone, or any two dimensional shape cut out of a piece of paper. Cut the 1/2 sphere in half again (1/4 sphere) and you have 3 surfaces, this would be also topologically similar to a cylinder. This one is a stretch but think of a cylinder that has the top and bottom circles are cut at an angle so that they touch. This is what I mean by topologically similar. Cut the 1/4 sphere in half (1/8 sphere) this would be topologically similar to a tetrahedron or Platonic pyramid with 4 triangular sides. Cut one corner off of the 1/8 sphere and you would have a five sided object that is topologically similar to triangular prism. That's about what I was going to post but, there is the whole puzzle of whether a sphere has one side... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 17, 2009 Report Share Posted April 17, 2009 a four sided shape is a pyramid a five sided shape may also be a pyramid Quote Link to comment Share on other sites More sharing options...
Question
Guest
one of the first things we are taught after basic communication, are colors and shapes. For example, the shape of a six sided surface would be a cube. That being the case, can you correctly identify the following?
What is a shape that has...
1. one surface?
2. two surfaces?
3. three surfaces?
4. four surfaces?
5. five surfaces?
Hints can be given.
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