r/Mathematica

Image 1 — ! Gamefying number theory Strip Arithmetic II

Image 2 — ! Gamefying number theory Strip Arithmetic II

Image 3 — ! Gamefying number theory Strip Arithmetic II

Image 4 — ! Gamefying number theory Strip Arithmetic II

Image 5 — ! Gamefying number theory Strip Arithmetic II

Image 6 — ! Gamefying number theory Strip Arithmetic II

Image 7 — ! Gamefying number theory Strip Arithmetic II

Image 8 — ! Gamefying number theory Strip Arithmetic II

Image 9 — ! Gamefying number theory Strip Arithmetic II

Image 10 — ! Gamefying number theory Strip Arithmetic II

Image 11 — ! Gamefying number theory Strip Arithmetic II

Image 12 — ! Gamefying number theory Strip Arithmetic II

Image 13 — ! Gamefying number theory Strip Arithmetic II

Image 14 — ! Gamefying number theory Strip Arithmetic II

Image 15 — ! Gamefying number theory Strip Arithmetic II

Image 16 — ! Gamefying number theory Strip Arithmetic II

Image 17 — ! Gamefying number theory Strip Arithmetic II

Image 18 — ! Gamefying number theory Strip Arithmetic II

▲ 90 r/Mathematica+1 crossposts

! Gamefying number theory Strip Arithmetic II

https://wessengetachew.github.io/Strip2/

Strip Arithmetic II

u/Background-Major4104 — 12 days ago

▲ 67 r/Mathematica+2 crossposts

Strip Arithmetic II update: you can now see the math behind the picture at any moment

https://wessengetachew.github.io/Strip2/

I've added a "Preview the math" button to Strip Arithmetic II. Change the grid size, slope, width, or offset, click it, and you get a sheet with the exact numbers behind whatever is on screen. It's all computed live in your browser.

The images attached are those sheets. Each one is the math for that configuration:

Coprime density: on a 10,000 × 10,000 grid, 60.7950% of cells are coprime, against 6/π² ≈ 60.7927% in the limit.

Strips: in the window −1 < 2r − M < 1, the measured density is 0.50005 against a predicted 0.50000.

u/Background-Major4104 — 12 days ago