I have recently been studying the Mayans and have encountered their number system.
A dot represents 1
A line represents 5
A shell represents 0
The base of the number system is 20
During my research I understand how the numbers were written vertically each row ontop of each other was the new power of 20 starting at $20^0$ in row one.
I have attached a picture below I have little understanding of numbers over 20
Also 401 would be a dot over a shell over a dot.
Why is this true and how do the exponents and multiplying work in this system?
Further research led me to understand how 401 is a dot over a shell over a dot the dot would be multiplied by $20^2$ the shell (0) would be multiplied by 20^1 and the dot on the bottom would be multiplied by 20^0. These would all be added to get 401.
I feel this is not consist throughout the system. In this chart I have just found, the third row from the bottom is multiplied by 360 instead of $20^2$
Why is this? Is this chart correct.
Please refer to This wikipedia link to help with your answer.