Fractals, Abstract Designs and Art Variations

About Fractals: a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine self-similar. Fractal geometry lies within the mathematical branch of measure theory. A fractal is a non-regular geometric shape that has the same degree of non-regularity on all scales. Fractals can be thought of as never-ending patterns.

2023 - New Fractal Designs

Catalog of Fractals and Image Variations

About Variations: the variations included below are based on artwork or images by WD Thomas or created by others and included in museums or art/photography collections and modified by WD Thomas to demonstrate an alternate style than the original artwork or photograph. The variation becomes new art - enjoy.

Fractal 111

Variation 119

Variation 112

Design 121

Fractal 101

Fractal 102

Variation 103

Q Design 101

Variation 101

Fractal 104

Fractal 106

Fractal 105

Fractal 107

Variation 107

Variation 109

Q Design 107

Design 102

Fractal 109

Fractal 112

Fractal 110

Fractal 113

Fractal 114

Fractal 116

Variation 114

Variation 102

Design 104

Fractal 117

Fractal 118

Variation 105

Variation 106

Variation 108

Variation 115

Design 122

Fractal 119

Fractal 120

Fractal 122

Fractal 128

Variation 110

Variation 111

Variation 118

Variation 113

Fractal 123

Fractal 124

Fractal 131

Variation 116

Variation 117

Variation 120

Design 123

Variation 121

Variation 125

Variation 129

Fractal 130

Variation 122

Variation 127

Variation 131

Variation 133

Design 124

Fractal 127

Variation 123

Variation 144

Variation 140

Variation 142

Fractal 125

Fractal 137

Variation 126

Variation 128

Fractal 132

Variation 130

Variation 145

Fractal 133

Fractal 136

Variation 146

Fractal 135

Variation 138

Fractal 147

Variation 150

Design 125

Variation 151

Fractal 153

Fractal 147

Variation 156

Fractal 151

Variation 157

Variation 167

Fractal 152

Variation 155