Mix my two programs below to have the emoji based numeric simulation generate the tilemap of moves when the user chooses to move shift the generated emojis to north (move emojis downwards and wrap if they go off screen, south upwards, west move emojis to right, and east move emojis to left so it looks like the user is walking due to the emojis moving. Here is my numeric simulation - use the emojis for this feature. import streamlit as st
import matplotlib.pyplot as plt
import numpy as np
import matplotlib.colors as mcolors

Global constant for golden ratio

golden_ratio = (1 + np.sqrt(5)) / 2
color_wheel = plt.get_cmap('hsv') # Use the HSV color wheel for harmonious colors

def is_prime(n):
"""Check if a number is prime."""
if n <= 1:
return False
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return False
return True

def fib_sequence(n):
"""Generate Fibonacci sequence up to n."""
fib_seq = [0, 1]
while fib_seq[-1] + fib_seq[-2] <= n:
fib_seq.append(fib_seq[-1] + fib_seq[-2])
return fib_seq[2:] # Exclude first two numbers for this use case

def adjust_color_brightness(color, factor):
"""Adjust the brightness of a color."""
return tuple(np.array(mcolors.to_rgb(color)) * factor)

def generate_colored_circle_template(num_circles):
"""Improved use of color and symmetry in circle generation."""
fig, ax = plt.subplots(figsize=(6, 6))
ax.set_xlim(0, 1)
ax.set_ylim(0, 1)
ax.axis('off')

for i in range(num_circles):
    radius = np.random.uniform(0.05, 0.1)
    angle = 2 * np.pi * i / num_circles
    distance = np.sqrt(np.random.uniform(0.1, 0.9))
    x = 0.5 + distance * np.cos(angle)
    y = 0.5 + distance * np.sin(angle)
    color = color_wheel(i / num_circles)
    alpha = 0.6 + 0.4 * (1 - distance)  # More transparent further out
    circle = plt.Circle((x, y), radius, color=color, alpha=alpha)
    ax.add_artist(circle)
return fig

def generate_symmetrical_circle_layout(num_layers):
"""Generate a more symmetrical circle layout."""
fig, ax = plt.subplots(figsize=(6, 6))
ax.set_aspect('equal')
ax.axis('off')

max_radius = 0.1 + 0.15 * (num_layers - 1)  # Adjust so outer circles don't overlap the figure boundary
center = (0.5, 0.5)

for layer in range(num_layers):
    radius = 0.05 + layer * 0.1
    num_circles = layer * 6 if layer > 0 else 1  # Increase circles in outer layers
    for i in range(num_circles):
        angle = 2 * np.pi * i / num_circles
        x = center[0] + radius * np.cos(angle)
        y = center[1] + radius * np.sin(angle)
        color = color_wheel(i / num_circles)
        circle = plt.Circle((x, y), max_radius / num_layers, color=color, alpha=0.5 + 0.5 * (1 - layer / num_layers))
        ax.add_artist(circle)
return fig

def generate_fibonacci_spiral_layout(num_points):
"""Generate layout based on Fibonacci spiral."""
fig, ax = plt.subplots(figsize=(6, 6))
ax.axis('off')
radius = 0.05
for i in range(num_points):
angle = i * 2 * np.pi / golden_ratio
distance = np.sqrt(i) * radius
x = 0.5 + distance * np.cos(angle)
y = 0.5 + distance * np.sin(angle)
color = color_wheel(i / num_points)
circle = plt.Circle((x, y), radius, color=color, fill=True, alpha=0.8)
ax.add_artist(circle)
ax.set_aspect('equal')
return fig

def generate_prime_number_spiral(num_points):
"""Generate spiral layout highlighting prime numbers."""
fig, ax = plt.subplots(figsize=(6, 6))
ax.axis('off')
radius = 0.05
for i in range(1, num_points + 1):
if is_prime(i):
angle = i * 2 * np.pi / golden_ratio
distance = np.sqrt(i) * radius
x = 0.5 + distance * np.cos(angle)
y = 0.5 + distance * np.sin(angle)
color = color_wheel(i / num_points)
circle = plt.Circle((x, y), radius, color=color, fill=True, alpha=0.8)
ax.add_artist(circle)
ax.set_aspect('equal')
return fig

def emoji_dynamics_and_number_theory_simulation(size):
"""Simulate emoji dynamics based on number theory."""
fib_seq = fib_sequence(size**2)
grid = []

for i in range(1, size**2 + 1):
    if i in fib_seq:
        grid.append("🌀")  # Fibonacci positions
    elif is_prime(i):
        grid.append("🌟")  # Prime positions
    else:
        grid.append("⚪")  # Other positions

    if i % size == 0:
        grid.append("\n")  # Newline at the end of each row

return "".join(grid)

Streamlit UI setup

st.title("Circle Packings and Number Theory Visualizations")

mode = st.radio(
"Choose a visualization mode:",
("Random Circle Packings", "Symmetrical Circle Layouts", "Fibonacci Spiral Layout", "Prime Number Spiral", "Emoji Dynamics and Number Theory Simulation")
)

if mode == "Random Circle Packings":
num_circles = st.slider("Number of Circles", 5, 50, 10)
fig = generate_colored_circle_template(num_circles)
elif mode == "Symmetrical Circle Layouts":
num_layers = st.slider("Number of Symmetrical Layers", 1, 5, 3)
fig = generate_symmetrical_circle_layout(num_layers)
elif mode == "Fibonacci Spiral Layout":
num_points = st.slider("Number of Points", 10, 100, 30)
fig = generate_fibonacci_spiral_layout(num_points)
elif mode == "Prime Number Spiral":
num_points = st.slider("Number of Points", 10, 1000, 200)
fig = generate_prime_number_spiral(num_points)
elif mode == "Emoji Dynamics and Number Theory Simulation":
size = st.slider("Grid Size", 5, 20, 10)
simulation = emoji_dynamics_and_number_theory_simulation(size)
st.text(simulation)
else:
st.text("Select a visualization mode to display.")

if 'fig' in locals():
st.pyplot(fig)
Then within my second program which I want combined with the program above keeping all features have this move north south east west interface to change to parameterize the inputs for the emoji numeric tilemap of emojis that look like terrain and landscape. Feel free to expand too the list of emojis to use each one that ccan represent a land element building elemment, wall, or it that is human sized as inventory. There should be about 30 different emojis in the landscape generator. Use the max too from number simulation for the x and y size of number of emojis in the terrain tilemap: Actually change the code so the slider can show variable number from 5 to 40 with default slidder at forty.. import streamlit as st
import random
import numpy as np

Initialize or reset the game state with all features

def initialize_state():
st.session_state.update({
'character': None,
'knowledge': 0,
'inventory': [],
'map_position': (2, 2), # Center position in a 5x5 grid
'current_location': 'forest edge',
'initialized': True
})

if 'initialized' not in st.session_state:
initialize_state()

Characters and descriptions

characters = {
"Wizard": {"emoji": "🧙‍♂️", "knowledge": 5, "description": "Wise and powerful, connected to magical forces."},
"Witch": {"emoji": "🧙‍♀️", "knowledge": 5, "description": "Cunning, skilled in potions and spells."}
}

Locations and emoji grid maps

locations = {
'forest edge': np.array([["🌲", "🌳", "🍃", "🌲", "🌿"], ["🍄", "🍃", "🌳", "🍃", "🍄"], ["🌲", "🚶", "🌿", "🍃", "🌳"], ["🌳", "🍃", "🍄", "🌿", "🌲"], ["🌲", "🍃", "🌳", "🍃", "🌿"]]),
'deep forest': np.array([["🌲", "🌿", "🍃", "🌳", "🍄"], ["🌿", "🌳", "🍃", "🌲", "🌿"], ["🍄", "🍃", "🚶", "🍃", "🌳"], ["🌳", "🌲", "🍃", "🍄", "🌿"], ["🍃", "🍃", "🌳", "🌲", "🌿"]]),
# Add other locations with corresponding maps
}

Actions and movement

directions = {"North": (-1, 0), "South": (1, 0), "West": (0, -1), "East": (0, 1)}

Main Streamlit application

def main():
st.title("The Magic Workshop In The Great Tree 🌳✨")
if st.session_state.character is None:
choose_character()
else:
display_character_info()
navigate_world()

def choose_character():
st.header("Choose your character 🧙‍♂️🧙‍♀️")
character = st.selectbox("Select your character", options=list(characters.keys()), format_func=lambda x: f"{x} {characters[x]['emoji']}")
if st.button("Choose"):
st.session_state.character = characters[character]
st.experimental_rerun()

def display_character_info():
char = st.session_state.character
st.subheader(f"Character: {char['description']}")
st.write(f"Knowledge: {char['knowledge']}")
if st.session_state.inventory:
st.write(f"Inventory: {', '.join(st.session_state.inventory)}")
else:
st.write("Inventory: Empty")

def navigate_world():
st.header("Explore the World")
location = st.session_state.current_location
st.write(f"You are in the {location}.")
display_map(location)
move_direction = st.selectbox("Which direction would you like to go?", options=list(directions.keys()))
if st.button("Move"):
move_player(move_direction)
handle_location_change()

def display_map(location):
map_with_player = locations[location]
map_display = "\n".join(["".join(row) for row in map_with_player])
st.text(map_display)

def move_player(direction):
dx, dy = directions[direction]
x, y = st.session_state.map_position
nx, ny = x + dx, y + dy
if 0 <= nx < 5 and 0 <= ny < 5: # Ensure new position is within bounds
# Update map position
st.session_state.map_position = (nx, ny)
# Update the character's position on the map
update_map_position(st.session_state.current_location, st.session_state.map_position)

def update_map_position(location, new_position):
# Remove old position
locations[location][st.session_state.map_position] = "🍃" # Replace with default terrain
# Set new position
st.session_state.map_position = new_position
locations[location][new_position] = "🚶"

def handle_location_change():
# This function can be expanded to include logic for handling encounters, finding items, etc., based on the new location
pass

if name == "main":
main()
: