/sci/ - Science & Math

>>16068830
Radix Representations (beyond just natural numbers, such as in Gaussian integers, quadratic number fields, and arbitrary algebraic number fields) can also be represented geometrically: https://www.researchgate.net/publication/240019751_Geometry_of_Radix_Representations
These generalized radix representations allow elements in these algebraic structures to be represented using a sequence of "digits" from a defined digit set.
Algebraic geometry relates geometric concepts to algebraic ones, similar to how radix systems relate numbers to their digit representations. Algebra and geometry are deeply connected, with algebraic equations being used to define geometric objects. Transformations, a key concept in geometry, are related to functions, a fundamental algebraic concept. Similarly, radix systems provide a way to represent numbers using a sequence of digits, connecting the algebraic properties of the number to a geometric series