01
The first word gives the identity a subject
Geometric narrows the field more than a general word such as clever or creative would. It suggests that the arrangement of elements matters, whether those elements are shapes in an exercise or parts of an explanation. That focus can help a visitor anticipate the kind of material they will encounter. It also sets an editorial responsibility: diagrams should have a purpose beyond decoration. A collection using this name would benefit from explaining what each visual represents and which relationships a reader is being invited to notice.
02
Mind adds a human activity rather than a score
The second word keeps attention on the person examining the material. It can suggest curiosity, reflection or a way of approaching a problem. It should not be used to imply that completing an exercise measures intelligence or establishes a cognitive ability. For an educational direction, describe what a participant will do and what the example covers. For a design practice, describe the explanation being developed. Those concrete statements preserve the appeal of the name while avoiding claims that the identity itself cannot substantiate.
03
A visual system can demonstrate its own rules
An identity study could use a small vocabulary of forms with consistent spacing and a restrained palette. The useful question is whether those forms communicate a relationship or simply repeat a motif. A proposed page might use one shape for examples and another for questions, provided the distinction is also expressed in text. Compare the design at reading size before selecting it. The name has enough specificity that an elaborate symbol is not necessary to explain the offer; these are possible design directions, not an approved visual identity.