Skip to content

advancedresearch/algexeno_cistercian

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

6 Commits
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

Algexeno-Cistercian

Visual Algexenotation with Cistercian numerals as hyperprimes

stroke

This animation shows how to write "2022" with this visual representation of Algexenotation.

What is Algexenotation?

Algexenotation is a way to represent multisets as natural numbers with algebraic compression.

For example:

2022' = 0*1*(1+0^0*(2+0^0))

For more information, see the Algexenotation project.

What are Cistercian numerals?

Cistercian numerals were developed by the Cistercian monastic order in in the early thirteenth century at about the time that Arabic numerals were introduced to northwestern Europe. They are more compact than Arabic or Roman numerals, with a single glyph able to indicate any integer from 1 to 9,999.

Cistercian numerals

Motivation

Develop a readable representation of Algexenotation that does not overlap with mainstream usage of decimals.

  • Cover 64 bit range
  • Making powers easier to read
  • Making sums easier to read

Design

There are so few hyperprimes in the 64 bit range that using the full range of Cistercian numerals is not needed. This property is exploited to better represent powers as single Cistercian numerals, plus adding support for zero using a horizonal line separator.

  • Original form: True Cistercian numerals
  • Evaluated form: Modified Cistercian numerals to cover hyperprimes in 64 bit range

The modified Cistercian numerals counts 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, ....

About

Visual Algexenotation with Cistercian numerals as hyperprimes

Resources

License

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published

Languages