Revamping ground-breaking ideas from fractal geometry, we propose an alternative micro-supercapacitor configuration realized by laser-induced graphene (LIG) foams produced via laser pyrolysis of inexpensive commercial polymers. The Space-Filling Supercapacitor Carpet (SFSC) architecture introduces the concept of nested electrodes based on the pre-fractal Peano space-filling curve, arranged in a symmetrical equilateral setup that incorporates multiple parallel capacitor cells sharing common electrodes for maximum efficiency and optimal length-to-area distribution. We elucidate on the theoretical foundations of the SFSC architecture, and we introduce innovations (high-resolution vector-mode printing) in the LIG method that allow for the realization of flexible and scalable devices based on low iterations of the Peano algorithm. SFSCs exhibit distributed capacitance properties, leading to capacitance, energy, and power ratings proportional to the number of nested electrodes (up to 4.3 mF, 0.4 μWh, and 0.2 mW for the largest tested model of low iteration using aqueous electrolytes), with competitively high energy and power densities. This can pave the road for full scalability in energy storage, reaching beyond the scale of micro-supercapacitors for incorporating into larger and more demanding applications.

从分形几何学突破性的想法出发，我们提出了一种替代的微型超级电容器配置，该配置是通过对廉价的商用聚合物进行激光热解生产的激光诱导石墨烯（LIG）泡沫实现的。空间填充超级电容器地毯（SFSC）架构引入了基于预分形Peano空间填充曲线的嵌套电极的概念，该嵌套电极以对称等边设置排列，并包含多个共享公共电极的平行电容器单元，以实现最大效率和最佳长度。区域分布。我们阐明了SFSC体系结构的理论基础，并在LIG方法中引入了创新（高分辨率矢量模式打印），该技术允许基于Peano算法的低迭代来实现灵活且可扩展的设备。SFSC表现出分布式电容特性，从而导致电容，能量和额定功率与嵌套电极的数量成比例（对于最大的使用含水电解质的低迭代测试模型，最高可达4.3 mF，0.4μWh和0.2 mW）能量和功率密度。这可以为能量存储的完全可扩展性铺平道路，从而超越了微型超级电容器的规模，可以集成到更大，更苛刻的应用中。