REALISING LATTICES AS ORBITS

Realisation of SL₂(ℤ) as the orbit of 1/16 in the disk model. — SL₂(ℤ) ORBIT REALISATION

Realisation of Γ(2) as the orbit of 1/16 in the disk model. — Γ(2) ORBIT REALISATION

Realisation of Γ(3) as the orbit of 1/16 in the disk model. — Γ(3) ORBIT REALISATION

Realisation of Γ(4) as the orbit of 1/16 in the disk model. — Γ(4) ORBIT REALISATION

Realisation of Γ(5) as the orbit of 1/16 in the disk model. — Γ(5) ORBIT REALISATION

Realisation of Γ derived from the order ℤ[1, i, j, ij] in the quaternion algebra with a = 7 and b = −1 as the orbit of 1/16 in the disk model. — Γ ORBIT REALISATION

Γ is derived from the order ℤ[1, i, j, ij] in the quaternion algebra $(\frac{7, - 1}{ℚ})$ .