The　investigation　of　the　magnetic　characteristics　of　magnetic　nanostructures　(MNs)　in　various　dimensions　is　a　crucial　direction　of　research　in　nanomagnetism,　with　MNs　belonging　to　various　dimensions　exhibiting　magnetic　properties　related　to　their　geometry.　A　better　understanding　of　these　magnetic　properties　is　required　for　MN　manipulation.　The　primary　tools　for　researching　MNs　are　magnetic　characterisation　techniques　with　great　spatial　resolution　and　spin　sensitivity.　Micromagnetic　simulation　is　another　technique　that　minimises　experimental　costs,　while　providing　information　on　the　magnetic　structure　and　magnetic　behaviour,　and　has　enormous　potential　for　predicting,　validating,　and　extending　the　magnetic　characterisation　results.　This　review　first　looks　at　the　progress　of　research　into　quantitatively　characterising　the　magnetic　properties　of　low-dimensional　(including　0D,　1D,　and　2D)　and　3D　MNs　in　two　directions:　magnetic　characterisation　techniques　and　micromagnetic　simulations,　with　a　particular　emphasis　on　the　potential　for　future　applications　of　these　techniques.　Single　magnetic　characterization　techniques,　single　micromagnetic　simulations,　or　a　mix　of　both　are　utilised　in　these　research　studies　to　investigate　MNs　in　a　variety　of　dimensions.　How　the　magnetic　characterisation　techniques　and　micromagnetic　simulations　can　be　better　applied　to　MNs　in　various　dimensions　is　then　outlined.　This　discussion　has　significant　application　potential　for　low-dimensional　and　3D　MNs.　This　minireview　summarizes　the　advanced　strategies　for　studying　magnetic　nanostructures　from　zero　to　three　dimensions　via　magnetic　characterization　techniques　and　micromagnetic　simulations.