Spirograph calculator
1: Simple system
Input
R1 = Nr of teeth of Ring 1:
W1 = Nr of teeth of Wheel 1:
P1 = Repetition Shift of Wheel 1 in Ring 1:
Calculate
Output
L1 = Nr of lobes in single design:
K1 = Nr of orbits by Wheel 1 with respect to Ring 1:
S1 = Symmetry of single design:
N1 = Number of repetitions until similar design:
M1 = Number of repetitions until same design:
SR1 = Symmetry of Repeated design:
2: Wheel (Wheel 2) in cutout (Ring 2) of the Wheel 1
Input
R2 = Nr of teeth of Ring 2 (Cutout):
W2 = Nr of teeth of Wheel 2:
P2 = Repetition Shift of Wheel 2 in Ring 2:
Calculate
Output
L2 = Nr of lobes in single design:
K2 = Nr of orbits by Wheel 2 with respect to Ring 2:
S2 = Symmetry of single design:
N2 = Number of repetitions until similar design:
M2 = Number of repetitions until same design:
SR2 = Symmetry of Repeated design: