1D Line
2D
Regular Polygons: Equilateral Triangle , Square , Pentagon , Hexagon , Heptagon , Octagon , Nonagon , Decagon , Hendecagon , Dodecagon , Hexadecagon , N-gon , Polygon Ring
Other Polygons: Triangle , Right Triangle , Isosceles Triangle , IR Triangle , Quadrilateral , Rectangle , Rhombus , Parallelogram , Right Kite , Kite , Right Trapezoid , Isosceles Trapezoid , Trapezoid , Cyclic Quadrilateral , Tangential Quadrilateral , Arrowhead , Concave Quadrilateral , Antiparallelogram , House-Shape , Symmetric Pentagon , Concave Pentagon , Parallelogon , Arrow-Hexagon , Sharp Kink , Frame , Threestar , Fourstar , Pentagram , Hexagram , Unicursal Hexagram , Cross , Oktagram , Star of Lakshmi , Polygon
Round Forms: Circle , Semicircle , Circular Sector , Circular Segment , Circular Layer , Round Corner , Circular Corner , Annulus , Annulus Sector , Curved Rectangle , Ellipse , Semi-Ellipse , Elliptical Segment , Elliptical Sector , Stadium , Digon , Spherical Triangle , Spiral , Log. Spiral , Reuleaux Triangle , Cycloid , Astroid , Hypocycloid , Cardioid , Epicycloid , Parabolic Segment , Arbelos , Salinon , Lune , Three Circles , Polycircle , Oval , Lemniscate , Squircle
3D
Platonic Solids: Tetrahedron , Cube , Octahedron , Dodecahedron , Icosahedron
Archimedean Solids: Truncated Tetrahedron , Cuboctahedron , Truncated Cube , Truncated Octahedron , Rhombicuboctahedron , Truncated Cuboctahedron , Icosidodecahedron , Truncated Dodecahedron , Truncated Icosahedron , Snub Cube
Catalan Solids: Triakis Tetrahedron , Rhombic Dodecahedron , Triakis Octahedron , Tetrakis Hexahedron , Deltoidal Icositetrahedron , Hexakis Octahedron , Rhombic Triacontahedron , Pentakis Dodecahedron , Pentagonal Icositetrahedron
Johnson Solids: Pyramids , Cupolae , Rotunda , Elongated Pyramids , Snub Disphenoid
Other Polyhedrons: Cuboid , Square Pillar , Triangular Pyramid , Square Pyramid , Regular Pyramid , Pyramid , Regular Frustum , Frustum , Bipyramid , Bifrustum , Ramp , Right Wedge , Wedge , Rhombohedron , Parallelepiped , Prism , Oblique Prism , Antiprism , Prismatoid , Trapezohedron , Disphenoid , Corner , General Tetrahedron , Half Cuboid , Skewed Cuboid , Skewed Three-Edged Prism , Truncated Rhombohedron , Hollow Cuboid , Hollow Pyramid , Stellated Octahedron , Small Stellated Dodecahedron , Great Stellated Dodecahedron
Round Forms: Sphere , Hemisphere , Cylinder , Cut Cylinder , Oblique Cylinder , Generalized Cylinder , Cone , Truncated Cone , Oblique Circular Cone , Elliptic Cone , Bicone , Spheroid , Ellipsoid , Semi-Ellipsoid , Spherical Sector , Spherical Cap , Spherical Segment , Spherical Wedge , Cylindrical Wedge , Cylindrical Sector , Cylindrical Segment , Flat End Cylinder , Spherical Shell , Cylindrical Shell , Hollow Cone , Truncated Hollow Cone , Spherical Ring , Torus , Spindle Torus , Arch , Reuleaux-Tetrahedron , Capsule , Lens , Barrel , Egg Shape , Paraboloid , Hyperboloid , Oloid , Steinmetz Solids
4D
Tesseract , Hypersphere
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Polygon Calculator
Calculations in a simple polygon. A polygon consists of straight edges and at least three vertices. It is simple when the edges don't intersect, so if the polygon isn't crossed . Here the edge lengths as well as the perimeter and area of the polygon can be calculated from the cartesian coordinates. First enter the number of vertices (3 to 30), then the x- and y-coordinate of each vertex. Choose the number of decimal places, then click Calculate. Side 1 runs from vertex 1 to vertex 2, side 2 from vertex 2 to 3, ..., the last side runs from vertex n to 1.

Polygon shape. If this polygon is drawn crossed, then the upper area calculation is incorrect:

Formulas:
Length of edge i = √

( x_{i+1} - x_{i} )² + ( y_{i+1} - y_{i} )²
n
p = Σ √ ( x_{i+1} - x_{i} )² + ( y_{i+1} - y_{i} )²
i=1

n
A = | Σ x_{i} * y_{i+1} - y_{i} * x_{i+1} | / 2
i=1

with x_{n+1} → x_{1} and y_{n+1} → y_{1}
Σ is the

sum symbol , | | is the absolute value.

x- and y-coordinate determine the position of a point right from and above the origin in the cartesian coordinate system. Edge lengths and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

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