The center of gravity of an irregular shape can be measured, for example by hanging the object from two different points (points of the object), then watching where the lines (from the point where it is hung up downwards) intersect.
If you know details about the shape, the center of gravity can also be calculated by integration. Basically this means dividing (through calculation) the shape into small pieces, and adding up the results.
Each body has its own centre of gravity. The centre of gravity of two regular shapes - an equilateral triangle and a square will be different so why should the cog of a regular and an irregular shape not be different?
Irregular shapes are all around. Most shapes are irregular.
Irregular 3-dimensional shapes.
Bodies that are small and light (examples: moons of Mars) have low gravity and tend to have irregular shapes. Above a certain size, however, gravity is strong enough to overcome the strength of rock, forcing the body into a spherical geometry that minimizes surface area-to-volume ratio.
Regular shapes are both equilateral and equiangular. Irregular shapes may or may not be equilateral and equiangular.
Each body has its own centre of gravity. The centre of gravity of two regular shapes - an equilateral triangle and a square will be different so why should the cog of a regular and an irregular shape not be different?
The factors affecting the center of gravity of an object include its shape, mass distribution, and orientation relative to a reference point. Objects with irregular shapes or uneven mass distribution tend to have a less predictable center of gravity. Changes in the object's position or orientation can also affect the location of its center of gravity.
For an object with symmetry around an axis, the center of gravity is at its center. For more complicated shapes, integration has to be used: basically, you imagine the object divided into small pieces, and take a kind of average. For many standard shapes, assuming uniform distribution of mass, this calculation has already been done and can be looked up (perhaps you may have to search for "center of mass" instead of "center of gravity"). For more irregular objects, if you know some rule (function) that describes its shape, you can do the integration yourself, if you know some calculus.For an object with symmetry around an axis, the center of gravity is at its center. For more complicated shapes, integration has to be used: basically, you imagine the object divided into small pieces, and take a kind of average. For many standard shapes, assuming uniform distribution of mass, this calculation has already been done and can be looked up (perhaps you may have to search for "center of mass" instead of "center of gravity"). For more irregular objects, if you know some rule (function) that describes its shape, you can do the integration yourself, if you know some calculus.For an object with symmetry around an axis, the center of gravity is at its center. For more complicated shapes, integration has to be used: basically, you imagine the object divided into small pieces, and take a kind of average. For many standard shapes, assuming uniform distribution of mass, this calculation has already been done and can be looked up (perhaps you may have to search for "center of mass" instead of "center of gravity"). For more irregular objects, if you know some rule (function) that describes its shape, you can do the integration yourself, if you know some calculus.For an object with symmetry around an axis, the center of gravity is at its center. For more complicated shapes, integration has to be used: basically, you imagine the object divided into small pieces, and take a kind of average. For many standard shapes, assuming uniform distribution of mass, this calculation has already been done and can be looked up (perhaps you may have to search for "center of mass" instead of "center of gravity"). For more irregular objects, if you know some rule (function) that describes its shape, you can do the integration yourself, if you know some calculus.
Irregular shapes are all around. Most shapes are irregular.
Stars are typically spherical due to gravity pulling matter towards the center, creating a balanced shape. Planets can have various shapes depending on their rotation and composition, like oblate spheroids or irregular shapes. Moons can also have different shapes, often influenced by gravity interactions with their parent planet.
Irregular 3-dimensional shapes.
Bodies that are small and light (examples: moons of Mars) have low gravity and tend to have irregular shapes. Above a certain size, however, gravity is strong enough to overcome the strength of rock, forcing the body into a spherical geometry that minimizes surface area-to-volume ratio.
The center of gravity of an irregular object can be determined by finding the point where the object would balance perfectly in any orientation. This can be done by supporting the object at different points and adjusting until it is balanced. The center of gravity is typically the point where all these balancing points intersect.
The center of gravity of irregular objects can be measured by hanging the object freely and observing where it balances perfectly. Another method is to calculate the average position of the weight distribution in each dimension. Computer software can also be used to model the object and determine its center of gravity.
boogers
Irregular galaxies have no discernible shape.
How the center of irregular shapes I am unaware of, but for triangles, where any one side is flat on altitude 0, the altitude of the center is 2 x Area divided by Perimeter That formula is used for getting the in-radius of a circle. The center of the circle of best fit is the center of the triangle.