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Can you make 3D shapes from flat polygons?
Simple answer, yes. But it depends in what method. Is this involving code? or real life? In code you can use basic trigonometry to determine positions in which to render a polygon.
What shapes are able to be tiled?
Squares or rectangles.Answer:Shapes which can be tiled (fit together without spaces or overlaps) are said to exhibit tessellation. These can be as simple as two dimensional shapes (squares and triangles) or as complex as the drawings by M.C. Escher who made tiles of birds and fishes.In general tiling shapes can be regular polygons (all the same) or mixtures of different shapes of regular polygons. More exotic shapes are developed by mathematicians. These include tiles using irregular polygons and three dimensional shapes.
How you find the area and perimeter?
Area: length x width Perimeter: adding all sides * * * * * That is only true if you have "well-behaved" polygons. The formula would not work for even a simple shapes like a circle or triangle! There are formulae for some other "well-behaved" shapes such as these and ellipses, parallelograms, regular polygons of 5 or more sides. For other shapes you would have to use integration.
How can you determine whether given shapes will make a tessellation?
There is no simple way.All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.In addition, there are concave polygons, and non-polygons which will tessellate.
Does picks theorem work for all polygons?
Just for simple polygons with integral vertices.
Why icosagon have 20 sides?
For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!
What are composite shapes?
Composite shapes are figures formed by combining two or more simple geometric shapes, such as rectangles, triangles, circles, or polygons. They can be analyzed in terms of their individual components to calculate area, perimeter, or volume. Understanding composite shapes is essential in geometry, as it allows for more complex designs and problem-solving. Examples include shapes like a house made of a rectangle and a triangle or a circular pool surrounded by a rectangular deck.
What is the defined of a polygons?
Polygons is a plane figure,"the number of edges are equal to a number of vortices" that's a simple way to define a polygon....
How do you determine the moment of inertia?
The moment of inertia of an object depends on its mass distribution and shape. For simple shapes, such as a point mass or a solid cylinder, mathematical formulas can be used to calculate the moment of inertia. For complex shapes, numerical methods or integration techniques may be necessary to determine the moment of inertia.
What is a basic design element in a tesellation?
The basic element is usually a simple shape called a tessela. Although these are often polygons, that need not be the case. For more unusual basic shapes, see, the set of Symmetry artwork by MC Escher.
What is a power polygon?
A set of manipulatives that are used in elementary math instruction. They can be used in a variety of manners from basic sorting activities and geometric shape exploration to higher level math skills. One person felt.... A really badly implemented idea being used in grade school curriculum for teaching geometry. The concept is to use a set of simple shapes called "power polygons" as tools. These tools are used for tasks such as assembling more complex shapes. This idea, by itself, could be very good for teaching children how to visualize shapes and to break the shapes down. However, this idea of power polygons have become nothing more than another abused idea to create overly convoluted problems and explanations. Examples (using my wording): (Given a shape such as an isosceles trapezoid) Determine the degrees in a given angle using power polygons. (Given a shape such as a large isosceles triangle) Divide the shape into power polygons. At first glance this may seem like an interesting way to explain shapes, but it usually degenerates into overly complicated assignments that children do not understand and completion is usually dependent on outside help such as from parents.
How to find the scale factor within two polygons?
Finding the scale factor for two polygons is simple to do. All you have to do is find the angles in a rectangle.
