The spelling of the name "Adolf Dux" can be explained through the International Phonetic Alphabet (IPA) transcription. The first name "Adolf" is spelled as /ˈædɒlf/, with the stress on the first syllable and the "o" sound as in "rock". The surname "Dux" is spelled as /dʌks/, with the "u" sound as in "up" and a silent "e" at the end. When pronounced together, the name sounds like "AD-olf DUKS". It is important to use correct spelling and pronunciation to ensure clear communication.