Update app.py
Browse files
app.py
CHANGED
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@@ -3,6 +3,7 @@ import matplotlib.pyplot as plt
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import numpy as np
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def draw_circle(ax, center, radius, color='black', fill=False, lw=1.5):
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circle = plt.Circle(
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center,
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radius,
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@@ -15,9 +16,11 @@ def draw_circle(ax, center, radius, color='black', fill=False, lw=1.5):
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ax.add_artist(circle)
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def draw_line(ax, start, end, color='black', lw=1.5):
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ax.plot([start[0], end[0]], [start[1], end[1]], color=color, lw=lw)
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def setup_plot(xlim=(-2, 2), ylim=(-2, 2), aspect='equal'):
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fig, ax = plt.subplots(figsize=(8, 8))
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ax.set_xlim(xlim)
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ax.set_ylim(ylim)
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@@ -27,40 +30,36 @@ def setup_plot(xlim=(-2, 2), ylim=(-2, 2), aspect='equal'):
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def draw_shree_yantra(ax, radius=1, sides=12, line_skips=None, circle_fill=False,
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line_color='black', circle_color='black', layers=2):
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if line_skips is None:
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line_skips = [2, 5, 7, 10]
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#
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outer_circles = [radius * (i+1) / layers for i in range(layers)]
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for r in outer_circles:
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draw_circle(ax, (0, 0), r, color=circle_color, fill=circle_fill, lw=2)
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#
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for layer in range(1, layers + 1):
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current_radius = radius * layer / layers
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# Draw polygon
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points = [np.array([np.cos(theta), np.sin(theta)]) for theta in np.linspace(0, 2*np.pi, sides, endpoint=False)]
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scaled_points = [p * current_radius for p in points]
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polygon = plt.Polygon(scaled_points, closed=True, fill=False, edgecolor=circle_color, lw=2)
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ax.add_artist(polygon)
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#
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for i, p1 in enumerate(scaled_points):
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for skip in line_skips:
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j = (i + skip) % sides
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p2 = scaled_points[j]
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# To ensure symmetry, draw each line only once
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if i < j:
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draw_line(ax, p1, p2, color=line_color, lw=1.5)
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#
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draw_circle(ax, (0, 0), radius / layers, color=circle_color, fill=False, lw=2)
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def enforce_symmetry(selected_skips, sides):
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-
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Ensure that for every skip, its complementary skip is also selected.
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For example, if skip=2 is selected in a 12-sided polygon, skip=10 (12-2) is also selected.
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"""
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symmetric_skips = set()
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for skip in selected_skips:
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symmetric_skips.add(skip)
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@@ -74,37 +73,34 @@ def main():
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st.sidebar.header("π§ Customize Your Shree Yantra")
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#
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radius = st.sidebar.slider("π΅ Outer Circle Radius", 0.5, 3.0, 1.5, 0.1)
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sides = st.sidebar.slider("πΊ Number of Sides (Polygon)", 6, 20, 12, 1)
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layers = st.sidebar.slider("π Number of Layers", 1, 5, 2, 1)
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#
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predefined_skips = [2, 5, 7, 10]
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# Generate available skips based on the number of sides
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max_skip = sides // 2
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available_skips = list(range(1, max_skip + 1))
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# Adjust default skips to be within available options
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default_skips = [skip for skip in predefined_skips if skip in available_skips]
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if not default_skips:
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default_skips = [2] if 2 in available_skips else [1]
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#
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selected_skips = st.sidebar.multiselect(
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"π Line Skips",
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options=available_skips,
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default=default_skips
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)
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#
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symmetric_skips = enforce_symmetry(selected_skips, sides)
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# Display selected symmetric skips
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st.sidebar.write("**π Symmetric Skips Applied:**", symmetric_skips)
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#
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line_color = st.sidebar.color_picker("βοΈ Line Color", "#000000")
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circle_color = st.sidebar.color_picker("ποΈ Circle & Polygon Color", "#000000")
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circle_fill = st.sidebar.checkbox("π¨ Fill Outer Circles", value=False)
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@@ -116,6 +112,7 @@ def main():
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if not symmetric_skips:
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st.warning("β οΈ Please select at least one line skip to draw connecting lines.")
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else:
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draw_shree_yantra(
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ax,
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radius=radius,
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@@ -135,4 +132,4 @@ def main():
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""")
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if __name__ == "__main__":
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main()
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import numpy as np
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def draw_circle(ax, center, radius, color='black', fill=False, lw=1.5):
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# Create a circle on the plot
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circle = plt.Circle(
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center,
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radius,
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ax.add_artist(circle)
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def draw_line(ax, start, end, color='black', lw=1.5):
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# Draw a line between two points
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ax.plot([start[0], end[0]], [start[1], end[1]], color=color, lw=lw)
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def setup_plot(xlim=(-2, 2), ylim=(-2, 2), aspect='equal'):
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# Set up the plotting area
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fig, ax = plt.subplots(figsize=(8, 8))
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ax.set_xlim(xlim)
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ax.set_ylim(ylim)
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def draw_shree_yantra(ax, radius=1, sides=12, line_skips=None, circle_fill=False,
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line_color='black', circle_color='black', layers=2):
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# The heart of the Yantra - where the magic happens
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if line_skips is None:
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line_skips = [2, 5, 7, 10]
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# Outer circles - the cosmic spheres
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outer_circles = [radius * (i+1) / layers for i in range(layers)]
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for r in outer_circles:
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draw_circle(ax, (0, 0), r, color=circle_color, fill=circle_fill, lw=2)
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# Polygons and connecting lines - the web of existence
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for layer in range(1, layers + 1):
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current_radius = radius * layer / layers
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points = [np.array([np.cos(theta), np.sin(theta)]) for theta in np.linspace(0, 2*np.pi, sides, endpoint=False)]
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scaled_points = [p * current_radius for p in points]
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polygon = plt.Polygon(scaled_points, closed=True, fill=False, edgecolor=circle_color, lw=2)
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ax.add_artist(polygon)
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# Connecting lines - the threads of interconnectedness
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for i, p1 in enumerate(scaled_points):
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for skip in line_skips:
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j = (i + skip) % sides
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p2 = scaled_points[j]
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if i < j:
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draw_line(ax, p1, p2, color=line_color, lw=1.5)
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# Central circle - the bindu, the source of all creation
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draw_circle(ax, (0, 0), radius / layers, color=circle_color, fill=False, lw=2)
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def enforce_symmetry(selected_skips, sides):
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# Ensure balance in the universe (and our Yantra)
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symmetric_skips = set()
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for skip in selected_skips:
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symmetric_skips.add(skip)
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st.sidebar.header("π§ Customize Your Shree Yantra")
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# Let the user shape their own cosmic diagram
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radius = st.sidebar.slider("π΅ Outer Circle Radius", 0.5, 3.0, 1.5, 0.1)
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sides = st.sidebar.slider("πΊ Number of Sides (Polygon)", 6, 20, 12, 1)
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layers = st.sidebar.slider("π Number of Layers", 1, 5, 2, 1)
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# The sacred skips
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predefined_skips = [2, 5, 7, 10]
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max_skip = sides // 2
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available_skips = list(range(1, max_skip + 1))
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default_skips = [skip for skip in predefined_skips if skip in available_skips]
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if not default_skips:
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default_skips = [2] if 2 in available_skips else [1]
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# Let the user choose their path
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selected_skips = st.sidebar.multiselect(
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"π Line Skips",
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options=available_skips,
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default=default_skips
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)
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# Balance in all things
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symmetric_skips = enforce_symmetry(selected_skips, sides)
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st.sidebar.write("**π Symmetric Skips Applied:**", symmetric_skips)
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# Colors of creation
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line_color = st.sidebar.color_picker("βοΈ Line Color", "#000000")
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circle_color = st.sidebar.color_picker("ποΈ Circle & Polygon Color", "#000000")
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circle_fill = st.sidebar.checkbox("π¨ Fill Outer Circles", value=False)
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if not symmetric_skips:
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st.warning("β οΈ Please select at least one line skip to draw connecting lines.")
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else:
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# Create the Yantra
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draw_shree_yantra(
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ax,
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radius=radius,
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""")
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if __name__ == "__main__":
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main()
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