Metal meshes have emerged as an important class of flexible transparent electrodes. We report on the characteristics of a new class of asymmetric meshes, tiled using a recently-discovered family of pentagons. Micron-scale meshes were fabricated on flexible polyethylene terephthalate substrates via optical lithography, metal evaporation (Ti 10 nm, Pt 50 nm) and lift-off. Three different designs were assessed, each with the same tessellation pattern and linewidth (5 micron), but with different sizes of the fundamental pentagonal unit. The designs corresponded to areal coverage of the metal patterns of 27% (Design#1), 14% (Design#2) and 9% (Design#3), respectively. Good mechanical stability was observed for both tensile strain and compressive strain. After 1,000 bending cycles, devices subjected to tensile strain showed fractional resistance increases in the range 8% to 17% with the lowest changes observed for Design#2. Devices subjected to compressive strain showed fractional resistance increases in the range 0% to 7% with best results observed for Design#1. The performance of the pentagonal metal mesh devices as visible transparent heaters via Joule heating was also assessed. A saturation temperature of 88 +/- 1 degrees C was achieved at low voltage (5 V) with a fast response time (~ 20 s) and a high thermal resistance (168 +/- 6 degrees C cm2/W). Finally, de-icing was successfully demonstrated (45 s at 5 V) for an ice layer on a glass coupon placed on top of the PET substrate.