Number of Reflectional Symmetry Axes

GeoGebra Commands & Parameters

1. Circle(Origin, 4) → c
2. Point(c) → F
3. If(x(F) > 0 ∧ y(F) ≥ 0, asin(y(F) / 4), 270°, x(F) < 0 ∧ y(F) ≥ 0, 180° - asin(y(F) / 4), x(F) ≟ 0 ∧ y(F) > 0, 90°, x(F) < 0 ∧ y(F) < 0, 180° - asin(y(F) / 4), x(F) > 0 ∧ y(F) < 0, 360° + asin(y(F) / 4)) → Angle
4. Segment(M, N) → f
5. Mirror(Estern, f) → Estern_{R}
6. Mirror(SPStar, f) → SPStar_{R}
7. Mirror(Snow, f) → Snow_{R}
8. Mirror(Tong, f) → Tong_{R}
9. Mirror(PCut, f) → PCut_{R}
10. Mirror(Magic, f) → Magic_{R}
11. Mirror(Atom, f) → Atom_{R}
12. Mirror(Poly, f) → Poly_{R}
13. Mirror(Shell, f) → Shell_{R}
14. Mirror(UST, f) → UST_{R}
15. Textfield(Numfold) → folds
16. If(0° ≤ Angle < 45°, Polygon[M, DL, DR, N], 225° < Angle ≤ 315°, Polygon[N, DL, UL, M], 315° < Angle ≤ 360°, Polygon[N, DR, DL, M], Angle ≟ 45°, Polygon[DL, DR, UR], 45° < Angle < 135°, Polygon[M, DR, UR, N], Angle ≟ 135°, Polygon[DR, UR, UL], 135° < Angle ≤ 225°, Polygon[M, UR, UL, N]) → BLOCK
17. Element(ANS_{ORIG}, turn) → ORIG
18. Element(ANS_{REFL}, turn) → REFL
19. If(YES ≟ true, (YES * Numfold), 0) → ANS_{SS}