Fractal Art Gallery

2021

Thank you for coming!!

Home

Art

Math

Business

This edition features nearly 700 brand new images uncovered this year...indeed more explorations of the three-dimensional world
of fractal mathematical art...the truly unbelievable beauty of pure numbers and light...

This index page is broken into three sections: The overviews (mini-thumbs), the thumbnails, and the series/display pages, generally
featuring 144, twenty-four, and four images per page, respectively.

HH Series Overview Part 1 (144 Images) --- 2021
HH Series Overview Part 2 (144 Images) --- 2021

HH Series Overview Part 3 (144 Images) --- 2021
HH Series Overview Part 4 (144 Images) --- 2021
HH Series Overview Part 5 (112 Images) --- 2021

The Mandelbulb phenomena started some nine or ten years ago and those people who began then have turned out some amazing work...even those
who have followed continue to produce surprisingly masterful mathematical constructions...

Whereas calculating a two-dimensional Mandelbrot or Julia set involves merely an iterative (repeated) process of complex algebraic manipulations,
the Mandelbulb calculations (though intimately related) involve the rendering of objects in true 3D by determining how light rays hit a fractally-
calculated surface, requiring jackrabbit microprocessing ability. Be sure that the machines used in the early days would be virtually useless today.

A few related calculations shown here also involve IFS, iteration function systems, a method of using certain matrix manipulational/linear algebraic
rules to dictate shapes and new surprises...I began looking at these way back in the 1980's when I first got started...

HH 001 Thumbnails (24 Images) --- 2021 (:30) HH 011 Thumbnails (24 Images) --- 2021 (:30) HH 021 Thumbnails (24 Images) --- 2021 (:30)
HH 002 Thumbnails (24 Images) --- 2021 (:30)
HH 012 Thumbnails (24 Images) --- 2021 (:30) HH 022 Thumbnails (24 Images) --- 2021 (:30)
HH 003 Thumbnails (24 Images) --- 2021 (:30) HH 013 Thumbnails (24 Images) --- 2021 (:30) HH 023 Thumbnails (24 Images) --- 2021 (:30)
HH 004 Thumbnails (24 Images) --- 2021 (:30) HH 014 Thumbnails (24 Images) --- 2021 (:30) HH 024 Thumbnails (24 Images) --- 2021 (:30)
HH 005 Thumbnails (24 Images) --- 2021 (:30) HH 015 Thumbnails (24 Images) --- 2021 (:30) HH 025 Thumbnails (24 Images) --- 2021 (:30)
HH 006 Thumbnails (24 Images) --- 2021 (:30) HH 016 Thumbnails (24 Images) --- 2021 (:30) HH 026 Thumbnails (24 Images) --- 2021 (:30)
HH 007 Thumbnails (24 Images) --- 2021 (:30) HH 017 Thumbnails (24 Images) --- 2021 (:30) HH 027 Thumbnails (24 Images) --- 2021 (:30)
HH 008 Thumbnails (24 Images) --- 2021 (:30) HH 018 Thumbnails (24 Images) --- 2021 (:30) HH 028 Thumbnails (24 Images) --- 2021 (:30)
HH 009 Thumbnails (24 Images) --- 2021 (:30) HH 019 Thumbnails (24 Images) --- 2021 (:30)  
HH 010 Thumbnails (24 Images) --- 2021 (:30) HH 020 Thumbnails (24 Images) --- 2021 (:30)  

Thumbnails are 24-bit JPEG; larger images are normally rendered at a resolution of 3200 x 2560 pixels, well over eight million pixels each.
Images within each series are set in pages to be contrasting, yet randomly arranged.

Please understand that these much smaller online size-reduced JPG images cannot show the wonderfully colorful detail present --
the original high resolution images are all strikingly continuous tones...and way nicer too...every one of which is available printed on glass
at the size 16" x 20" or on acrylic at 20" x 24" (or larger!) and ready to hang...I have about seventy of them hanging at my place now...

In order to show a bit more detail, thumbnails are now only four to a page, not the older six to a page and are 324 pixels by 405 pixels,
three times larger than the older 216 pixels square. Here, then, are the 688 images from the year 2021:

HH Series 1 --- 2021
HH Series 57 --- 2021
HH Series 113 --- 2021
HH Series 2 --- 2021
HH Series 58 --- 2021
HH Series 114 --- 2021
HH Series 3 --- 2021
HH Series 59 --- 2021
HH Series 115 --- 2021
HH Series 4 --- 2021
HH Series 60 --- 2021
HH Series 116 --- 2021
HH Series 5 --- 2021
HH Series 61 --- 2021
HH Series 117 --- 2021
HH Series 6 --- 2021
HH Series 62 --- 2021
HH Series 118 --- 2021
HH Series 7 --- 2021
HH Series 63 --- 2021
HH Series 119 --- 2021
HH Series 8 --- 2021
HH Series 64 --- 2021
HH Series 120 --- 2021
HH Series 9 --- 2021
HH Series 65 --- 2021
HH Series 121 --- 2021
HH Series 10 --- 2021
HH Series 66 --- 2021
HH Series 122 --- 2021
HH Series 11 --- 2021
HH Series 67 --- 2021
HH Series 123 --- 2021
HH Series 12 --- 2021
HH Series 68 --- 2021
HH Series 124 --- 2021
HH Series 13 --- 2021
HH Series 69 --- 2021
HH Series 125 --- 2021
HH Series 14 --- 2021
HH Series 70 --- 2021
HH Series 126 --- 2021
HH Series 15 --- 2021
HH Series 71 --- 2021
HH Series 127 --- 2021
HH Series 16 --- 2021
HH Series 72 --- 2021
HH Series 128 --- 2021
HH Series 17 --- 2021
HH Series 73 --- 2021
HH Series 129 --- 2021
HH Series 18 --- 2021
HH Series 74 --- 2021
HH Series 130 --- 2021
HH Series 19 --- 2021
HH Series 75 --- 2021
HH Series 131 --- 2021
HH Series 20 --- 2021
HH Series 76 --- 2021
HH Series 132 --- 2021
HH Series 21 --- 2021
HH Series 77 --- 2021
HH Series 133 --- 2021
HH Series 22 --- 2021
HH Series 78 --- 2021
HH Series 134 --- 2021
HH Series 23 --- 2021
HH Series 79 --- 2021
HH Series 135 --- 2021
HH Series 24 --- 2021
HH Series 80 --- 2021
HH Series 136 --- 2021
HH Series 25 --- 2021
HH Series 81 --- 2021
HH Series 137 --- 2021
HH Series 26 --- 2021
HH Series 82 --- 2021
HH Series 138 --- 2021
HH Series 27 --- 2021
HH Series 83 --- 2021
HH Series 139 --- 2021
HH Series 28 --- 2021
HH Series 84 --- 2021
HH Series 140 --- 2021
HH Series 29 --- 2021
HH Series 85 --- 2021
HH Series 141 --- 2021
HH Series 30 --- 2021
HH Series 86 --- 2021
HH Series 142 --- 2021
HH Series 31 --- 2021
HH Series 87 --- 2021
HH Series 143 --- 2021
HH Series 32 --- 2021
HH Series 88 --- 2021
HH Series 144 --- 2021
HH Series 33 --- 2021
HH Series 89 --- 2021
HH Series 145 --- 2021
HH Series 34 --- 2021
HH Series 90 --- 2021
HH Series 146 --- 2021
HH Series 35 --- 2021
HH Series 91 --- 2021
HH Series 147 --- 2021
HH Series 36 --- 2021
HH Series 92 --- 2021
HH Series 148 --- 2021
HH Series 37 --- 2021
HH Series 93 --- 2021
HH Series 149 --- 2021
HH Series 38 --- 2021
HH Series 94 --- 2021
HH Series 150 --- 2021
HH Series 39 --- 2021
HH Series 95 --- 2021
HH Series 151 --- 2021
HH Series 40 --- 2021
HH Series 96 --- 2021
HH Series 152 --- 2021
HH Series 41 --- 2021
HH Series 97 --- 2021
HH Series 153 --- 2021
HH Series 42 --- 2021
HH Series 98 --- 2021
HH Series 154 --- 2021
HH Series 43 --- 2021
HH Series 99 --- 2021
HH Series 155 --- 2021
HH Series 44 --- 2021
HH Series 100 --- 2021
HH Series 156 --- 2021
HH Series 45 --- 2021
HH Series 101 --- 2021 HH Series 157 --- 2021
HH Series 46 --- 2021
HH Series 102 --- 2021 HH Series 158 --- 2021
HH Series 47 --- 2021
HH Series 103 --- 2021 HH Series 159 --- 2021
HH Series 48 --- 2021
HH Series 104 --- 2021 HH Series 160 --- 2021
HH Series 49 --- 2021
HH Series 105 --- 2021 HH Series 161 --- 2021
HH Series 50 --- 2021
HH Series 106 --- 2021 HH Series 162 --- 2021
HH Series 51 --- 2021
HH Series 107 --- 2021 HH Series 163 --- 2021
HH Series 52 --- 2021
HH Series 108 --- 2021 HH Series 164 --- 2021
HH Series 53 --- 2021
HH Series 109 --- 2021 HH Series 165 --- 2021
HH Series 54 --- 2021
HH Series 110 --- 2021 HH Series 166 --- 2021
HH Series 55 --- 2021
HH Series 111 --- 2021 HH Series 167 --- 2021
HH Series 56 --- 2021
HH Series 112 --- 2021 HH Series 168 --- 2021
    HH Series 169 --- 2021
    HH Series 170 --- 2021
    HH Series 171 --- 2021
    HH Series 172 --- 2021