#PrimeNumbers in #AmazingColourPatterns
Welcome to “DIGITAL NumberLand”…
Highlights for “Bullet Seekers”
Banners for “Visual Impressionists”
Titles for “Deep Thinkers”
About
“Prime Patterns” with Prime Numbers
Liebe Dichter- und DenkerInnen
Mathematical Art?
What is Creative?
#MathematicalArt as #DigitalAssets
The unique digital identification by blockchain mechanisms of Non-Fungible Tokens [NFTs] – also traded as ‘crypto’ currencies
Digital Inspirations
Pattern Collections
1 – 5: “Digital Pyramids”
6 – 9: “Arithmetical Matrices”
10 – 11: “Digital Tables”
12 – 14: “Orthogonal Pyramids”
15 – 18: “Numerical Planes”
19 – 22: Sums and Products
23 – 25: Roots and Diagonals
Titles of Collections
“DIGITAL Visualisations”
I. “Digital PYRAMIDS” for Creative Number Constellations
“DIGITAL Numbers” as Innovative Concept
Leading Digits x 10 + Last Digit
“LAST DIGIT Series” as “Digital Pattern Builders”
Not algebraic, but DIGITAL Series
“Single LAST DIGIT Patterns” as “Digital Characteristics”
“Composite LAST DIGIT Patterns” as “Visual and Geometric Indicators”
How many digits does it take to in-form us of a ‘pattern’?
“DIGITAL Prime Diagonals” as Prime Surprises
II. “Arithmetical MATRICES” for Organising Cells of Spreadsheets
III. “Digital TABLES” for Organising Prime Numbers and SERIES of SemiPrimes
Primes as “Diagonal Sums”
Every Prime Number with all its possible Summands can be visualised as a Diagonal Line
SemiPrimes as “Orthogonal Products” of Primes
Factors of SemiPrimes for “SEQUENTIAL Factorisation”
“Vertical Prime Twins” of Primes and SemiPrimes are the Building Blocks of the “Digital Prime Number Pattern” which shows a sophisticated but predictable progression of SemiPrime Factors
IV. “ORTHOGONAL Pyramids” for Numbers as Counts
V. “Numerical PLANES” for OrthoDiagonal Symmetries
1. “Digital SUMS”
2. “Digital RATIOS”
3. Primes as “Symmetrical DIAMONDS”
Arithmetical Operations
1. “DIAGONAL Sums” – the Geometric Characteristic
Visualising all Summands of a Sum results in a DIAGONAL Line
2. “ORTHOGONAL Products” – the Geometric Complementarity
Using Factors to create a Product means visualising a Rectangle or a Square, i.e. an ORTHOGONAL shape that is rectangular.
3. “DIGITO-DECIMAL” or “DIGITAL” Sums
4. Pythagoras’ “OCTAGONAL SUMS” of Squares
5. Pythagoras’ “DIAGONAL ROOTS” of Squares
6. “MULTI-DIMENSIONAL” Sums
“DIAGONAL Prime Numbers”
1. Diagonals outside the Pyramid
2. Diagonals inside the Pyramid
3. Primes as “DIAGONAL Sums”
4. Primes as “MULTI-DIMENSIONAL Sums”
5. Primes as “DIAGONAL Roots” of “OCTAGONAL Sums”
Scientific Significance
1. “DIMENSIONALITY” as “Spatial Yardstick”
2. “Shapes of MAGNITUDE” as “SCALE Operators”
3. Scale-Independent MEASURING
4. Scale-Independent MODELLING
5. Enhancing Visualisation Technologies
Educational Applications
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#PrimeNumbers in #AmazingColourPatterns