'non-reticular' is formed in modern English from the prefix 'non-' (from Latin 'non', meaning 'not') plus 'reticular'. 'Reticular' ultimately derives from Latin 'reticulum', a diminutive of 'rete' meaning 'net'.

'reticulum' in Latin (literally 'little net') passed into Medieval/Modern scientific Latin as 'reticularis' and then into English as 'reticular'; the productive English prefix 'non-' was appended to form 'non-reticular'.

Originally 'reticulum' meant 'a small net'; 'reticular' came to mean 'net-like' or 'forming a network'. 'Non-reticular' developed as a direct negation meaning 'not net-like'.