Shapes
Triangles
4-Sided Polygons
Square
Rectange
Parralellogram
Trapezium
Kite
Rohmbus
Iscocelles
Equalateral
Right-angled
Obtuse-angled
Acute-angled
Polygons
Pentagon
Pi-related
Cone
Frustrum
Circle
Ellipse
Parameters
Pi
Cylinder
Hight
Radius
Depth
Barrel
Parameters
Length
Height
Depth
Angles (alpha,beta,gamma)
Hexagon
Octagon
Septagon (7)?
Nonagon
Decagon
Dodecagon
Icosagon
-Hedron, Irregular + Regular
Parameters
Length
Angles (internal and external)
Number of angles/sides
Parameters
Width
Height
Dephth
Depth
Angles (in some cases)
Special
Archimedian Bodies
Platonic Bodies
Kepler
Formula, in order
Area
Volume (Prisms in most cases)
H * W = Rohmbus
H * W / 2 = Kite
H * W = Parralellogram
H^2 = Square
H * W = Rectangle
((BL + TL) * H) / 2= Trapezium
Bottom Length & Top Length
Turncated and Simum
H W D = Rohmbus Prism
(H W / 2) D = Kite Prism
H W D= Parralellogram Prism
H^3 = Cube
H W D = Cuboid
(((BL + TL) H) / 2) D = Trapezium
Formula
Area
Volume
L * H / 2 = Triangle
L H / 2 D = Triangular Prism
((L W / 2) H) / 3 = Triangular Pyramid
Formula
Area
R (LN) / 2 = Any Regular Polygon
Internal "Radius"
Volume
(R (LN) / 2) * D = Any Regular Polygon prism
Formula
Area
Pi * R^2 = Circle
Volume
Base (either circle or ellipse) * D = Cylinder
Pi R^2 H / 3 = Cone
Pi R1^2 H1 / 3 - Pi R2^2 H2 / 3 = Frustrum
Pi R1 R2 = Ellipse
((A(Bottom) + (4 A(Middle)) + A(Top)) / 6) H = Kepler = Barrel
Sphere
4/3 Pi R^3 = Sphere
R
Width
3D
2D
H
D
2D
Rules
Interal angles must add up to 180*
A^2 + B^2 = C^2
Exterior angles must add up to 360*
(L^2 * square root of 3) / 4 = Equilateral triangle
W
D
L
H
a, b, c
2D
D
a, b, c
L
N
R
2D
D
W
H
a, b, c
BL, TL
1/6 (R N L H) = Any Regular Polygon-based pyramid
Square-based Pyramid = See Polygons
((W L) H) / 3 = Rectangular-based Pyramid
Length
L