  The Klein bottle Benalcazar-Bernevig-Hughes (BBH) insulator phase plays a
pivotal role in understanding higher-order topological phases. The insulator
phase is characterized by a unique feature: a nonsymmorphic glide symmetry that
exists within momentum space, rather than real space. This characteristic
transforms the Brillouin zone's fundamental domain into a structure of Klein
bottle. Here, we report an observation of a Klein bottle topoelectrical model
under gauge fields. To provide a comprehensive understanding of the different
corner distributions of odd and even unit cells, we present theoretical
calculations and demonstrate that the symmetry properties significantly affect
the topological nature. These theoretical predictions are confirmed by
experimental results, which demonstrate the practical feasibility of such
topological configurations in electronic circuits. Our work establishes a vital
connection between the realms of condensed matter physics and circuit systems,
thereby paving a pathway for investigating exotic condensed matter physics.
