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.
- 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
- 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
- Origin circle circumscribed triangle: 6 moves by John Chrysostom
- Origin circle circumscribed square: 10 moves
- Origin circle circumscribed hexagon: 11 moves
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
Approximations to be done for more shapes:
43 (approximation used by taking the tangent, please share) Late Nov update: I finished it!
44 (11x4)
45 (5x9)
46 (23x2)
47 (use by tangent, please share) Early Dec update: finished by me!
48 (2⁴x3)
49 (use by tangent, please share) Early Dec update: Finished by me!
50 (25x2)
51 (use triangle on heptadecagon, please share)
52 (13x4)
53 (use tangent, please share) Mid-Dec update: finished by me!
54 (3³x2)
55 (5x11)
56 (7x8)
57 (3x19) Mid-Dec update: finished by me!
58 (29x2)
59 (use tan, please share) New Year's update: finished by me!
60 (3x4x5)
61 (use tan, please share)
62 (2x31)
63 (7x9)
64 (2⁶)
65 (13x5)
66 (2x3x11)
67 (use tan, please share)
68 (4x17)
69 (might be done with trisecting 23-gon, but might fail, please share)
70 (2x5x7)
71 (use tan, please share)
72 (8x9)
73 (pierpont, approx.)
74 (2x37 [please share 37]) Late November update: 37-gon is finished!
75 (3x25)
76 (4x19)
77 (7x11)
78 (2x3x13)
79 (use tan, please share)
80 (2⁴x5)
81 (3⁴ [use tan, please share])
82 (2*41 [please share 41]) Thanksgiving update: 41-gon finished!
83 (use tan, please share)
84 (3x4x7)
85 (5x17 [perfectly constructible as being a multiple of two distinct Fermat primes])
86 (2x43 [please share 43]) Late Nov update: I finished the 43-gon!
87 (3x29)
88 (8x11)
89 (use tan, please share)
90 (2x5x9)
91 (7x13)
92 (4x23)
93 (3x31)
94 (2x47 [please share 47])
95 (5x19)
96 (2⁵x3)
97 (pierpont, approx.)
98 (2x7² [please share 49])
99 (9x11)
100 (4x25)
Italic involves trisecting an angle and Bold can only be made by taking the tangent.