Think of a square and (one-to-one) functions can that shuffle the place of points of the square but keep the square as a whole in one place. Interesting features are size and place of the square. Such symmetries are called (global) isometries (see congruence).
θ ɪ ŋ k WORD_BOUNDARY ə v ə WORD_BOUNDARY s k w ɛ ɹ WORD_BOUNDARY æ n d WORD_BOUNDARY w ʌ n t ə w ʌ n WORD_BOUNDARY f ʌ ŋ k ʃ ə n z WORD_BOUNDARY k æ n WORD_BOUNDARY ð æ t WORD_BOUNDARY ʃ ʌ f ə l WORD_BOUNDARY ð ə WORD_BOUNDARY p l eɪ s WORD_BOUNDARY ʌ v WORD_BOUNDARY p ɔɪ n t s WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY s k w ɛ ɹ WORD_BOUNDARY b ʌ t WORD_BOUNDARY k iː p WORD_BOUNDARY ð ə WORD_BOUNDARY s k w ɛ ɹ WORD_BOUNDARY æ z WORD_BOUNDARY ʌ WORD_BOUNDARY h oʊ l WORD_BOUNDARY ɪ n WORD_BOUNDARY w ʌ n WORD_BOUNDARY p l eɪ s WORD_BOUNDARY ɪ n t ɹ ɛ s t ɪ ŋ WORD_BOUNDARY f iː t̠ʃ ə ɹ z WORD_BOUNDARY ɑ ɹ WORD_BOUNDARY s aɪ z WORD_BOUNDARY æ n d WORD_BOUNDARY p l eɪ s WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY s k w ɛ ɹ WORD_BOUNDARY s ʌ t̠ʃ WORD_BOUNDARY s ɪ m ə t ɹ i z WORD_BOUNDARY ɑ ɹ WORD_BOUNDARY k ɔ l d WORD_BOUNDARY ɡ l oʊ b ə l WORD_BOUNDARY aɪ s ɑ m ə t ɹ i z WORD_BOUNDARY s iː WORD_BOUNDARY k ɑ ŋ ɡ ɹ uː ə n s WORD_BOUNDARY