mrflip/Ancient Greek Geometry.md

## Ancient Greek Geometry.md

      
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              Ancient Greek Geometry.md
            
          
    Solutions for Ancient Greek Geometry (https://sciencevsmagic.net/geo)

Most solutions taken from the about thread. See the comments below for more additions since my last check-in.
Polygons


Triangle, 5 moves		  
Triangle, In-Origin, 6 moves	  
Hexagon, In-Origin, 9 moves	  
Square, In-Origin, 8 moves	  ; an elegant alternate 8-move solution
Octagon, 13 moves               by underwatercolor
Octagon, In-Origin, 14 moves; Alternative by @mrflip; another Alternative by @mrflip
Dodecagon, In-Origin, 17 moves alt
Pentagon, In-Origin, 11 moves   by John Chrysostom. Two non-in-origin solutions: by Thomas, alternative

Alternative, 16 moves based on this construction


10-Gon, In-Origin, 17 moves		   (16 reported possible)
In-origin 15-gon: 22 moves by @mrflip
In-Origin 16-gon: 24 moves by John Chrysostom (23 moves reported possible)
17-Gon, 45 moves by @mrflip, improving version from @Eddy119 citing H. W. Richmond — 40 moves reported possible! In-Origin, 49 moves by @Eddy119, tweaked by @mrflip
In-origin 20-gon: 28 moves by @mrflip
In-origin 24-gon: 30 moves by @mrflip
In-origin 30-gon: 37 moves reported possible
In-origin 32-gon: 40 moves reported possible
34-gon, 61 moves by @mrflip: 57 moves reported possible. In-origin 34-gon in 65 by @mrflip
In-origin 40-gon: 51 moves by @mrflip, 49 moves reported possible
In-origin 48-gon: 56 moves by @mrflip

Circle Packs


Circles 2, 5 moves		  
Circles 2, In-Origin, 7 moves
Circle 3, 9 moves		  
Circle 3, In-Origin, 10 moves by John Chrysostom
Circle 4, In-Origin, 12 moves by John Chrysostom
Circle 5, 22 moves by @pizzystrizzy
Circle 5, In-Origin, 23 moves from @pizzystrizzy
Circle 7, 13 moves		   by Jason
Circle 7, In-Origin, 14 moves   by @bikerusl
Circle 15, 47 moves by @pizzystrizzy
Circle 19, 37 moves by @ pizzystrizzy

Circumscribed Polygons


Origin circle circumscribed triangle: 6 moves by John Chrysostom
Origin circle circumscribed square: 10 moves
Origin circle circumscribed hexagon: 11 moves

Non-Constructible Figures

Abuse of floating-point math can make the widget approve non-constructible polygons (polygons with edge count 7, 9, 11, 13, 14, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 33, 35, ..., which cannot be precisely constructed using straightedge and compass):

pseudo-2-gon in 11 moves
pseudo-11-gon in 44 moves by @Eddy119