The construction methods for designing multi-wing attractors are rarely mentioned little. With the application of coordinate translation, mirror mapping and hysteresis switching to an existing five-dimensional hyperchaotic system, we can double the number of wings and a four-wing attractor is realized. If similar operations have been applied to the system n-1 times, a 2n-wing attractor can be constructed. A simple circuit implementation was designed for doubling the number of wings in attractors. On the basis of preserving the hyperchaotic property of resulting system, the complexity of attractor is enhanced and it is more suitable for use in secure encryption communication.