The set of pictures below show how ornate places of worship and spiritualism imbibe symmetry in their structure so as to create harmony, peace and an environment suitable for meditation and prayers.
Religious people know very well that human life is short-lived but these stony structures will exist for a longer time.
(these pictures were cited via google search)
The first picture: Lotus Temple (Bahai religion) at Delhi, India
Next four pictures: Church of Hallgrimurat Reykjavik in Iceland. The church has symmetry in its minimalist expressionist architecture.
The last two pictures: Somnath Temple in Gujrat, India. Very ancient temple with a long history of survival against all odds.
See world’s most beautiful symmetrical mosques here
Also, Buddhist temples in Bangkok mentioned at travel.cnn
Of course, there are many other temples, churches, mosques, pagodas renowned for their symmetrical architecture. Places like Golden Temple (Sikhism), Golden Temple (Bangkok) and many other the world over.
My second entry for the challenge Symmetrical Luxury had pictures taken by us at a place of luxury abode.