<｜begin▁of▁sentence｜>### Instruction:
Imagine you're working on the design of a new dashboard display for a cutting-edge electric car, which includes a unique feature that groups certain functions together based on a categorization system. We want to create a pattern where these functionalities are placed into specific groups, and we've decided to prototype this concept using the numbers 0 through 9 as a stand-in for these functions.

To proceed, think of each number representing a unique function on the car's control panel. We want to organize these functions into categories such that functions in the same category have a common characteristic – specifically, when the number (or function ID) is divided by 3, it yields the same remainder. 

How would you visualize this categorization on the dashboard interface to ensure a user-friendly design where related functions are grouped together intuitively? Keep in mind, your grouping strategy should revolve around the remainder these function IDs have when divided by 3.
### Response:
import networkx as nx

# Define the set of integers from 0 to 9
X = set(range(10))

# Define a function that checks if two numbers have the same remainder when divided by 3
def mod3(x, y):
    return (x - y) % 3 == 0

# Use the equivalence_classes function from NetworkX to get the equivalence classes of the relation
equiv_classes = nx.utils.equivalence_classes(X, mod3)

# Print the equivalence classes
print(set(map(frozenset, equiv_classes)))
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