Mathematical Wallpapers

Discover the beauty of mathematics through stunning high-resolution wallpapers

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The Beauty of Mathematics

Each wallpaper in this collection represents a unique mathematical concept, from the infinite complexity of fractals to the elegant chaos of strange attractors. These patterns emerge from simple mathematical rules, revealing the hidden beauty that underlies our universe.

Fractals

Self-similar patterns that repeat at every scale, revealing infinite complexity from simple recursive formulas.

Strange Attractors

Chaotic systems that create beautiful, unpredictable patterns while following deterministic rules.

Complex Dynamics

Mathematical systems that exhibit rich, complex behavior emerging from simple iterative processes.

Mathematical Art Collection

High-resolution mathematical wallpapers perfect for any display.

Lorenz Attractor
Attractor

Lorenz Attractor

The famous "butterfly effect" attractor that demonstrates sensitive dependence on initial conditions.

$$\frac{dx}{dt} = \sigma(y-x) \\ \frac{dy}{dt} = x(\rho-z)-y \\ \frac{dz}{dt} = xy-\beta z$$
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Barnsley Fern
IFS

Barnsley Fern

A nature-inspired fractal created using an Iterated Function System (IFS).

$$\begin{pmatrix} x_{n+1} \\ y_{n+1} \end{pmatrix} = A_i \begin{pmatrix} x_n \\ y_n \end{pmatrix} + \begin{pmatrix} b_i \\ c_i \end{pmatrix}$$
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Clifford Attractor
Attractor

Clifford Attractor

A mesmerizing strange attractor with intricate spiral patterns and beautiful symmetries.

$$x_{n+1} = \sin(ay_n) + c\cos(ax_n) \\ y_{n+1} = \sin(bx_n) + d\cos(by_n)$$
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Random Math Art
Art

Random Math Art

Random mathematical art using sine-cosine functions with vibrant colors.

$$x = \sin(at) + \sin(bt), \quad y = \cos(ct) + \cos(dt)$$
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De Jong Attractor
Attractor

De Jong Attractor

De Jong attractor with beautiful gradient and complex dynamics.

$$x_{n+1} = \sin(ay_n) - \cos(bx_n) \\ y_{n+1} = \sin(cx_n) - \cos(dy_n)$$
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Spirograph
Pattern

Spirograph

Beautiful spirograph pattern with geometric precision and artistic flair.

$$x = (R-r)\cos(t) + d\cos\left(\frac{R-r}{r}t\right) \\ y = (R-r)\sin(t) - d\sin\left(\frac{R-r}{r}t\right)$$
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Hénon Attractor
Attractor

Hénon Attractor

Hénon map attractor showing chaotic dynamics in discrete systems.

$$x_{n+1} = 1 - ax_n^2 + y_n \\ y_{n+1} = bx_n$$
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Ikeda Attractor
Attractor

Ikeda Attractor

Ikeda map attractor with laser-like patterns and optical dynamics.

$$t_n = 0.4 - \frac{6}{1 + x_n^2 + y_n^2} \\ x_{n+1} = 1 + u(x_n\cos t_n - y_n\sin t_n)$$
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Lissajous Curve
Curve

Lissajous Curve

Lissajous curve with turquoise-magenta gradient showing harmonic motion.

$$x = A\sin(at + \delta), \quad y = B\sin(bt)$$
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Rössler Attractor
Attractor

Rössler Attractor

Stunning Rössler attractor with rainbow gradient and chaotic beauty.

$$\frac{dx}{dt} = -y - z, \quad \frac{dy}{dt} = x + ay, \quad \frac{dz}{dt} = b + z(x - c)$$
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Aizawa Attractor
Attractor

Aizawa Attractor

Mesmerizing Aizawa attractor with cosmic colors and complex dynamics.

$$\frac{dx}{dt} = (z-b)x - dy \\ \frac{dy}{dt} = dx + (z-b)y \\ \frac{dz}{dt} = c + az - \frac{z^3}{3}$$
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Dadras Attractor
Attractor

Dadras Attractor

Electric Dadras attractor with neon lightning effect and dynamic patterns.

$$\frac{dx}{dt} = y - ax + byz \\ \frac{dy}{dt} = cy - xz + z \\ \frac{dz}{dt} = dxy - ez$$
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Chen Attractor
Attractor

Chen Attractor

Fiery Chen attractor with phoenix-like colors and chaotic dynamics.

$$\frac{dx}{dt} = a(y - x) \\ \frac{dy}{dt} = (c - a)x - xz + cy \\ \frac{dz}{dt} = xy - bz$$
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Four Wing Attractor
Attractor

Four Wing Attractor

Magnificent Four Wing attractor with butterfly-like colors and symmetric beauty.

$$\frac{dx}{dt} = ax + yz \\ \frac{dy}{dt} = bx + cy - xz \\ \frac{dz}{dt} = -z - xy$$
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