This new further prototype code implements artificial scarcity in a sea of abundance, cryptocurrencies need artificial scarcity, via limits like "proof-of-work" to prevent debasement from over minting. The proof-of-work mechanism means solving complex mathematical problems that take lots of time and energy in current computing technology
In this new idea, mapping Mandelbrot shores of infinity will be the "proof of novelty", and saving these screenshots. The scarcity element comes from the time it takes to navigate futher beyond the known limits of the fractal, and memory to save the new coordinates as ASCII screenshots, this will be part of the blockchain, which will get very big very quickly, and its part of the point, it will be coin supply limit at any point in time, this with the time to dive further beyond the known shores of the fractal will naturally determine the minting reward treshold.
Proof-of-novelty is like proof-of-work, bur produces more than just a coin, or secures a transaction, its also a unique fractal visual snapshot, which its collection can produce a museum for posteirity. XaosCoin can be the name of this new proof-of-novelty coin in honor of the most worshipful fractal explorer program XaoS
This prototype Python script can be run in a plain terminal of most operating systems, paste it in a text editor and run it as Python script in your terminal, and give it a minute to mine. Code shoudl be pure-terminal, pure-ASCII screenshots, and as most dependency-free as possible.
import hashlib
import time
import random
import statistics
# Configuration for visualization (adjust these!)
VIS_WIDTH = 160 # Visualization width
VIS_HEIGHT = 100 # Visualization height
VIS_MAX_ITER = 500 # Iterations for visualization detail (200–1000; higher = more detail, slower lower = less detail, faster)
VIS_ZOOM = 0.0005 # Zoom level for spirals (smaller = deeper, e.g., 0.0001)
# Configuration for mining (adjust these!)
MIN_GRID_SIZE = 40 # Grid size for PoW (20–50; higher = slower, more memory)
MIN_MAX_ITER = 1000 # Iterations for mining (500–2000; higher = slower, harder)
DIFFICULTY_PREFIX = '00' # Mining difficulty (e.g., '0' for ~1-5s, '000' for ~10-30s)
NOVELTY_THRESHOLD = 1200 # Minimum variance of escape times for a coordinate to be valid (500–2000)
# Interesting seed Mandelbrot points for initial randomization
INTERESTING_POINTS = [
(-0.749, 0.1), # Seahorse valley (classic spirals)
(-0.12, 0.65), # Spiral boundary
(0.25, 0.0), # Elephant valley (swirling patterns)
(-0.7092, 0.24445), # 13-arm spiral near Misiurewicz point
(-0.712, 0.2487), # Spiral-rich region
(-0.706835, 0.235839), # Period 13 bulb attachment
(0.274, -0.008), # Spiral features
(0, 1), # Spiral fiber rotation
(-2, 0), # Antenna tip spirals
(-0.75, 0.0), # Tendril lightning spirals
(-0.170337, -1.06506), # Lightning tendrils
(-0.761574, -0.0847596), # Spiral zoom
(-0.7746806106269039, -0.1374168856037867), # Deep boundary spirals
(-0.4, 0.3), # Converging spirals
(0.1, 0.6), # Irregular orbits
(0.35, 0.2), # Inward spirals
(-0.8, 0.1), # Spiral oscillation
(-0.55, 0.65), # Borderline spirals
(-0.75, 0.05), # Slow escape spirals
]
def mandelbrot_escape(c, max_iter):
"""Calculate escape time for a complex point c."""
try:
z = 0j
n = 0
while abs(z) <= 2 and n < max_iter:
z = z**2 + c
n += 1
return n if n < max_iter else max_iter
except Exception as e:
print(f"Error in mandelbrot_escape: {e}")
return 0
def compute_novelty(c_center, grid_size=10, zoom=0.005, max_iter=100):
"""Compute variance of escape times to measure visual complexity."""
try:
escapes = []
step = 2 * zoom / (grid_size - 1)
for i in range(grid_size):
imag = c_center.imag - zoom + i * step
for j in range(grid_size):
real = c_center.real - zoom + j * step
c = complex(real, imag)
escapes.append(mandelbrot_escape(c, max_iter))
return statistics.variance(escapes) if escapes else 0
except Exception as e:
print(f"Error in compute_novelty: {e}")
return 0
def fractal_render(c_center, grid_size, zoom=0.005, max_iter=1000):
"""Render escape times for PoW (pure Python, memory-intensive)."""
try:
escapes = []
step = 2 * zoom / (grid_size - 1)
for i in range(grid_size):
imag = c_center.imag - zoom + i * step
for j in range(grid_size):
real = c_center.real - zoom + j * step
c = complex(real, imag)
escapes.append(mandelbrot_escape(c, max_iter))
return str(escapes)
except Exception as e:
print(f"Error in fractal_render: {e}")
return ""
def ascii_visualize_coin(c_center, width, height, zoom, max_iter):
"""Generate a pure ASCII visualization with adjustable size and iterations."""
try:
ascii_chars = [' ', '.', ',', ':', '-', '=', '+', '*', '#', '@'] # Finer gradient for spirals
output = []
step_x = 2 * zoom / (width - 1)
step_y = 2 * zoom / (height - 1)
for i in range(height):
row = ''
imag = c_center.imag - zoom + i * step_y
for j in range(width):
real = c_center.real - zoom + j * step_x
c = complex(real, imag)
n = mandelbrot_escape(c, max_iter)
if n == max_iter:
char = '@'
else:
index = min(n // (max_iter // len(ascii_chars)), len(ascii_chars) - 1)
char = ascii_chars[index]
row += char
output.append(row)
return '\n'.join(output)
except Exception as e:
print(f"Error in ascii_visualize_coin: {e}")
return ""
def mine_fractalcoin(difficulty_prefix, nonce_start=0, grid_size=40, max_iter=1000, step=0.0001):
"""Mine by finding nonce where hash of fractal render starts with difficulty_prefix."""
try:
start_time = time.time()
attempts = 0
max_attempts = 100000
while attempts < max_attempts:
# Randomly select an interesting point
c_real_base, c_imag_base = random.choice(INTERESTING_POINTS)
# Add small random offset for variety
c_real = c_real_base + random.uniform(-0.01, 0.01)
c_imag = c_imag_base + random.uniform(-0.01, 0.01)
c = complex(c_real, c_imag)
# Check novelty
novelty_score = compute_novelty(c)
if novelty_score < NOVELTY_THRESHOLD:
attempts += 1
continue # Skip low-novelty coordinates
render_str = fractal_render(c, grid_size, max_iter=max_iter) + str(nonce_start)
render_hash = hashlib.sha256(render_str.encode()).hexdigest()
if render_hash.startswith(difficulty_prefix):
elapsed = time.time() - start_time
print(f"Mined in {elapsed:.2f}s after {attempts} attempts with nonce {nonce_start}!")
print(f"Novelty score: {novelty_score:.2f}")
return c, render_hash
nonce_start += 1
if nonce_start % 1000 == 0:
c_imag += step
if c_imag > c_imag_base + 0.1:
c_imag = c_imag_base
c_real += step
attempts += 1
print("Mining stopped: too many attempts. Try lower difficulty (e.g., '0') or lower NOVELTY_THRESHOLD.")
return None, None
except Exception as e:
print(f"Error in mine_fractalcoin: {e}")
return None, None
# Mine a XaosCoin
try:
print("Starting mining...")
mined_c, mined_hash = mine_fractalcoin(DIFFICULTY_PREFIX, grid_size=MIN_GRID_SIZE, max_iter=MIN_MAX_ITER)
if mined_c:
print(f"Mined c: {mined_c}")
print(f"Mined Hash (Proof): {mined_hash}")
print(f"\nPure ASCII Visualization of XaosCoin ({VIS_WIDTH}x{VIS_HEIGHT}, {VIS_MAX_ITER} iterations):")
print("\nTip: zoom out.")
print(ascii_visualize_coin(mined_c, width=VIS_WIDTH, height=VIS_HEIGHT, max_iter=VIS_MAX_ITER, zoom=VIS_ZOOM))
else:
print("Mining failed. No visualization generated.")
except Exception as e:
print(f"Error in main execution: {e}")
you should see something new every time it mines a new novelty-coin in ASCII coordinates like this, zoom out your terminal for better view:
If you don't know how to programm Ptyhon, this is a good Ai Python or ask your favorite one to try and further refine this, it may possibly become a wonder of the future world, like the pyramids, but of the digital age, a massive museum of Mandelbrot fractal entropy.
