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The Sri Yantra, also known as Shree Yantra or Sri Chakra is one of the most powerful and important Yantras to help you fulfill your dreams. It is considered as …
This is an article that mentions it. In its comment about the outer shape, it says,
"The square at the outside of the yantra represents the world of form, the material world that our senses show us, the illusion of separateness, of well defined edges and boundaries. There are four T-shaped portals, or gateways. They represent our earthly passage from the external and material to the internal and sacred."
Perhaps localize your search within the realm of Hinduism.
I agree with Angela that the outer shape is a yantra, and the second image appears to be a Tibetan mandala, using the yantra, which is a common iconic form on these type of mandalas. They could be images of thangka paintings (Tibetan Buddhist scroll painting). The colours used in thangkas have meanings ascribed. The use of red relates to Amitabha, who in Buddhism is head of the Padma or lotus lineage and is thought to be one of the five transcended Buddhas.
It is said that the use of the colour red transforms the delusion of attachment into the wisdom of discernment. These mandalas painted onto thangkas (silk or cotton scrolls) are used for meditative practices.
Perhaps your neighbour is letting you know that they have a quiet practice, and they have offered a doorway into that realm, where they may have explored riches of consciousness.
"From a galactic perspective the root of the addiction and enslavement to materialism is operation in an erroneous timing frequency, the 12:60 frequency. This artificial man-made grid is superimposed over the harmonic weave of the 13:20 natural grid cycle."