Origami-based mechanical metamaterials have emerged in multiple technologies, such as vehicle and wearable equipment industries, thanks to their appealing mechanical performances. The excellent energy absorption capability, multi-stability, tunable stiffness, and stretchability of origami metamaterials enable them to adapt easily to different working requirements. Among all the origami metamaterial structures, triangulated cylinder origami (TCO) has been one of the most useful ones. In this research paper, a parametric study based on experiments and data analysis is performed to explore the effect of design parameters on the strain and strength of the TCOs. It was revealed that while the relative orientation of units in each column has no significant impact on the mechanical properties of the TCOs, the number of units in each column, n, plays an important role. It was discovered that a hexagon TCO with n of 6 offers higher strain and strength compared to an octagon TCO with n of 8. This study aims to pave the road for later optimization of TCOs for building materials and foldable structures applications.