Describe the core elements of hangul syllables, such that a non-speaker with limited experience with linguistics can understand how to compose the symbols.
Hangul syllables are composed of three core elements: an initial consonant, a vowel, and a final consonant. 

1. The initial consonant represents the beginning sound of the syllable. It is always written on the left side of the vowel. There are 14 basic consonants in Hangul, each with a unique symbol.

2. The vowel represents the middle sound of the syllable. It is written in the center of the syllable, below the initial consonant if there is one. There are 10 basic vowels in Hangul, each with a unique symbol.

3. The final consonant represents the ending sound of the syllable. It is written on the right side of the vowel. However, not all syllables have a final consonant. If a syllable does not have a final consonant, it is written without one.

To compose a Hangul syllable, first, determine the initial consonant sound, then the vowel sound, and finally the final consonant sound (if applicable). Each of these sounds corresponds to a specific symbol in the Hangul writing system. Once you have identified the appropriate symbols, arrange them in the correct order to form the Hangul syllable.