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[[Image:Similar-geometric-shapes.svg|thumb|300px|Figures shown in the same color are similar]] ...same via resizing. Similar objects do not need to have the same size. Two shapes are similar if their [[angles]] have the same measure and their sides are [ ...

...shapes used also influence how accurate the approximation is. More complex shapes give a higher accuracy, but this also means that calculating the approximat ...viding up the region more finely, using smaller and smaller shapes. As the shapes get smaller and smaller, the sum approaches the [[Riemann integral]]. ...

...e than two [[dimension]]s are constructed by using regular two-dimensional shapes. For example, a [[tetrahedron]] is constructed with four triangles, and a [ ...ver, there are also geometric figures that are constructed using different shapes. A [[pyramid]], for example. uses one [[rectangle]] and four triangles. In ...

== How to obtain new congruent shapes == The following are a few rules to make new shapes congruent to the original one: ...

...alence of a [[coffee cup]] and a [[donut]]. To a [[topologist]], these two shapes are the same. ...

...date=2020-09-24|website=Math Vault|language=en-US}}</ref> Areas of regular shapes such as [[square]], [[rectangle]], [[triangle]] and [[circle]] can be calcu ...

{{shapes}} [[Category:Three-dimensional shapes]] ...

{{shapes}} [[Category:Three-dimensional shapes]] ...

{{shapes}} [[Category:Three-dimensional shapes]] ...

{{shapes}} ...

...mputer]]s usually use triangles to make more complex [[graphic]] images or shapes. {{shapes}} ...

{{shapes}} ...

...svg|alt=Two plus three is equal to five.|thumb|2 [[shape]]s + 3 shapes = 5 shapes]] ...s 2. When the two groups combine into one, the overall amount (sum) of the shapes become 5. ...

...ylinder''' is one of the most basic curved three dimensional [[geometric]] shapes, with the [[surface]] formed by the points at a fixed distance from a given {{shapes}} ...

{{shapes}} ...

| title = Sizes, shapes, and derived properties of the saturnian satellites after the Cassini nomin ...b |url=http://www.ciclops.org/media/sp/2011/6794_16344_0.pdf |title=Sizes, shapes, and derived properties of the saturnian satellites after the Cassini nomin ...

{{shapes}} ...

{{shapes}} [[Category:Shapes]] ...

...moment of inertia]], for a round shaft or concentric tube only. For other shapes J must be determined by other means. For solid shafts the membrane analogy ...

The Koch Curve is one of the simplest fractal shapes, and so its dimension is easy to work out. Its similarity dimension and Hau ...artistic reasons, but others are very useful. Fractals are very efficient shapes for radio antennas and are used in computer chips to efficiently connect al ...