{"id":136,"date":"2026-02-25T20:31:12","date_gmt":"2026-02-25T20:31:12","guid":{"rendered":"https:\/\/theroyalscode.com\/students\/l_lazar\/?p=136"},"modified":"2026-02-25T20:31:35","modified_gmt":"2026-02-25T20:31:35","slug":"now-for-this-this-sum-ive-been-working-on-with-ai-and-it-been-about-a-month-of-trying-to-figur-it-out-and-i-still-dont-under-stand-it","status":"publish","type":"post","link":"https:\/\/theroyalscode.com\/students\/l_lazar\/2026\/02\/25\/now-for-this-this-sum-ive-been-working-on-with-ai-and-it-been-about-a-month-of-trying-to-figur-it-out-and-i-still-dont-under-stand-it\/","title":{"rendered":"now for this, this sum ive been working on with ai and it been about a month of trying to figur it out and i still dont under stand it 2\/13\/26"},"content":{"rendered":"\n

heres the code <\/p>\n\n\n\n

import<\/em> turtle<\/p>\n\n\n\n

import<\/em> math<\/p>\n\n\n\n

import<\/em> colorsys<\/p>\n\n\n\n

# Setup<\/em><\/p>\n\n\n\n

screen = turtle.Screen()<\/p>\n\n\n\n

screen.bgcolor(“black”)<\/p>\n\n\n\n

screen.title(“Geometric Harmony”)<\/p>\n\n\n\n

screen.tracer(0)<\/p>\n\n\n\n

t = turtle.Turtle()<\/p>\n\n\n\n

t.hideturtle()<\/p>\n\n\n\n

t.speed(0)<\/p>\n\n\n\n

# Configuration<\/em><\/p>\n\n\n\n

num_shapes = 12<\/p>\n\n\n\n

angle = 0<\/p>\n\n\n\n

colors = []<\/p>\n\n\n\n

# Generate colors as hex strings<\/em><\/p>\n\n\n\n

for<\/em> i in<\/em> range(360):<\/p>\n\n\n\n

    h = i \/ 360<\/p>\n\n\n\n

    s = 0.8<\/p>\n\n\n\n

    l = 0.5 + 0.3 * math.sin(i * 0.05)<\/p>\n\n\n\n

    r, g, b = colorsys.hls_to_rgb(h, l, s)<\/p>\n\n\n\n

    r, g, b = int(r*255), int(g*255), int(b*255)<\/p>\n\n\n\n

    colors.append(f<\/em>“#{r:02x<\/em>}{g:02x<\/em>}{b:02x<\/em>}”)<\/p>\n\n\n\n

def<\/em> draw_polygon(x, y, sides, size, rot, color_idx):<\/p>\n\n\n\n

    “””Draw a rotated polygon at given position”””<\/p>\n\n\n\n

    t.penup()<\/p>\n\n\n\n

    t.goto(x, y)<\/p>\n\n\n\n

    t.setheading(rot)<\/p>\n\n\n\n

    t.pendown()<\/p>\n\n\n\n

    t.color(colors[color_idx % 360])<\/p>\n\n\n\n

    t.pensize(2)<\/p>\n\n\n\n

    for<\/em> _ in<\/em> range(sides):<\/p>\n\n\n\n

        t.forward(size)<\/p>\n\n\n\n

        t.left(360 \/ sides)<\/p>\n\n\n\n

    t.penup()<\/p>\n\n\n\n

def<\/em> draw_rose_curve():<\/p>\n\n\n\n

    “””Draw mathematical rose curves (polar coordinates)”””<\/p>\n\n\n\n

    global<\/em> angle<\/p>\n\n\n\n

    t.clear()<\/p>\n\n\n\n

    for<\/em> ring in<\/em> range(3):<\/p>\n\n\n\n

        r_offset = ring * 80<\/p>\n\n\n\n

        petals = 5 + ring * 2<\/p>\n\n\n\n

        for<\/em> i in<\/em> range(0, 360, 3):  # Skip steps for speed<\/em><\/p>\n\n\n\n

            # Rose curve formula: r = a * cos(k * theta)<\/em><\/p>\n\n\n\n

            k = petals<\/p>\n\n\n\n

            r = (r_offset + 30) * math.cos(k * math.radians(i))<\/p>\n\n\n\n

            # Add wave perturbation<\/em><\/p>\n\n\n\n

            r += 15 * math.sin(math.radians(i * 3) + angle)<\/p>\n\n\n\n

            x = r * math.cos(math.radians(i) + angle * 0.5)<\/p>\n\n\n\n

            y = r * math.sin(math.radians(i) + angle * 0.5)<\/p>\n\n\n\n

            color_idx = (i * 2 + ring * 60 + int(angle * 20)) % 360<\/p>\n\n\n\n

            t.goto(x, y)<\/p>\n\n\n\n

            t.dot(3, colors[color_idx])<\/p>\n\n\n\n

    # Draw rotating hexagons<\/em><\/p>\n\n\n\n

    for<\/em> i in<\/em> range(num_shapes):<\/p>\n\n\n\n

        rot = i * (360 \/ num_shapes) + angle * 30<\/p>\n\n\n\n

        dist = 100 + 50 * math.sin(angle * 2 + i)<\/p>\n\n\n\n

        x = dist * math.cos(math.radians(i * 30 + angle * 20))<\/p>\n\n\n\n

        y = dist * math.sin(math.radians(i * 30 + angle * 20))<\/p>\n\n\n\n

        color_idx = (i * 30 + int(angle * 15)) % 360<\/p>\n\n\n\n

        draw_polygon(x, y, 6, 30, rot, color_idx)<\/p>\n\n\n\n

    # Draw connecting lines<\/em><\/p>\n\n\n\n

    t.penup()<\/p>\n\n\n\n

    for<\/em> i in<\/em> range(num_shapes):<\/p>\n\n\n\n

        x1 = 100 * math.cos(math.radians(i * 30 + angle * 20))<\/p>\n\n\n\n

        y1 = 100 * math.sin(math.radians(i * 30 + angle * 20))<\/p>\n\n\n\n

        x2 = 100 * math.cos(math.radians((i + 1) * 30 + angle * 20))<\/p>\n\n\n\n

        y2 = 100 * math.sin(math.radians((i + 1) * 30 + angle * 20))<\/p>\n\n\n\n

        t.goto(x1, y1)<\/p>\n\n\n\n

        t.pendown()<\/p>\n\n\n\n

        t.color(colors[(i * 30) % 360])<\/p>\n\n\n\n

        t.goto(x2, y2)<\/p>\n\n\n\n

        t.penup()<\/p>\n\n\n\n

    angle += 0.03<\/p>\n\n\n\n

    screen.update()<\/p>\n\n\n\n

    screen.ontimer(draw_rose_curve, 16)<\/p>\n\n\n\n

# Start<\/em><\/p>\n\n\n\n

draw_rose_curve()<\/p>\n\n\n\n

screen.mainloop()<\/p>\n\n\n\n

i know what most of it dose but the math is where i asked ai for help its super complacted and heres what it dose <\/p>\n\n\n\n

<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

it moves over time and it JUST LOOKS SUPER COOL <\/p>\n","protected":false},"excerpt":{"rendered":"

heres the code import turtle import math import colorsys # Setup screen = turtle.Screen() screen.bgcolor(“black”) screen.title(“Geometric Harmony”) screen.tracer(0) t = turtle.Turtle() t.hideturtle() t.speed(0) # Configuration num_shapes = 12 angle = 0 colors = [] # Generate colors as hex strings for i in range(360):     h = i \/ 360     s = 0.8     l = 0.5 + 0.3 * math.sin(i * 0.05)     r, g, b = colorsys.hls_to_rgb(h, l, s)     r, g, b = int(r*255), int(g*255), int(b*255)     colors.append(f“#{r:02x}{g:02x}{b:02x}”) def draw_polygon(x, y, sides, size, rot, color_idx):     “””Draw a rotated<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-136","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/posts\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/comments?post=136"}],"version-history":[{"count":2,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/posts\/136\/revisions"}],"predecessor-version":[{"id":141,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/posts\/136\/revisions\/141"}],"wp:attachment":[{"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/categories?post=136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theroyalscode.com\/students\/l_lazar\/wp-json\/wp\/v2\/tags?post=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}