is there any difference regarding the saving memory between a normal dictionary and a trie dictionary?

Question

is there any difference regarding saving memory space between a trie and a normal dictionary ? if yes, is there any way to count and measure their difference ? like how many bites or bytes is their difference.

here is an example of these two types of dictionaries :

trie_dict = {'f': {'o': {'o': {'t': {'value':'to walk with'},                                            
                               'l': {'value':'to teach'},
                               'd':{'value': 'to eat'}}}}}


normal_dict =  {'foot': {'value': 'to walk with'},
                'fool': {'value': 'to teach'},
                'food': {'value': 'to eat'}}

Answer 1

This is my attempt at a better evaluation of the total size of an object (dict and str only):

def rec_size_of(obj):
    current = 0
    if isinstance(obj, dict):
        current += getsizeof(obj)
        for k,v in obj.items():
            current += getsizeof(k)
            current += rec_size_of(v)
    elif isinstance(obj, str):
        current += getsizeof(obj)
    return current

rec_size_of(trie_dict)       
2315

rec_size_of(normal_dict)         
1454