Shape With Infinite Sides Math

It is based on the koch curve which appeared in a 1904 paper titled on a continuous curve without tangents constructible from elementary geometry by the swedish mathematician helge von koch.

Shape with infinite sides math. Angle or infinite polygon is a generalized polygon with a countably infinite number of sides. In some literature the term apeirogon may refer only to the regular apeirogon with an infinite dihedral group. Some systems of geometry allow for 1 sided or 2 sided shapes but not traditional euclidean geometry. The koch snowflake can be built up iteratively in a sequence of stages.

Mathematically a circle is equivalent to a polygon with an infinite number of sides. They have infinite lines of symmetry. Well it isn t a mathematical statement so it cannot be proven in a mathematical way. Or one of the faces that make a solid 3dimensional.

Definition of side of a shape explained with real life illustrated examples. There is no limit to the number of sides that a polygon can have. For example a polygon is defined as a collection of a finite amount of straight lines so the concept of a regular polygon with an infinite number of sides does not exist yet. One of the line segments that make a flat 2dimensional shape.

Splashlearn is an award winning math learning program used by more than 30 million kids for fun math practice. Also learn the facts to easily understand math glossary with fun math worksheet online at splashlearn. In robinson s framework one can approximate the circle by a regular polygon with h sides where h is an infinite hypernatural number. In geometry an apeirogon from the greek words ἄπειρος apeiros.

More precisely the circle is the standard part of the infinite sided polygon. The first stage is an equilateral triangle and each successive stage is formed from adding outward bends to each side of the previous st. The koch snowflake is a fractal curve and one of the earliest fractals to have been described. Ellipses are like circles which have been squashed or stretched.

Since a shape must enclose a space the smallest possible polygon in euclidean geometry is a triangle with 3 sides. Polygons can be further divided by their number of sides. A 2 d shape that is composed of straight lines is called a polygon. Free geometry worksheets created with infinite geometry.

Printable in convenient pdf format. This is an interesting question the answer could be 0 no straight sides 1 curved side or an infinite number of sides are all possible answers. How many sides does a circle have.