of a Fractal Nature
photographic Math-Art essays highlighting mathematics in the natural world
(geometric fractals mimic magnification/dilitational symmetry in Nature)
inspired by the teachings and scientific investigations of Heinz-Otto Peitgen and Richard F. Voss
Shown here, the stage-4 Sierpinski tetrahedron provides a powerful visual introduction to fractal geometry and the concept of "self-similarity", in which a shape can be broken into smaller copies of the whole. Each new stage is composed of 4 smaller copies of the previous stage. As the number of stages increases, the Sierpinski tetrahedron approaches "exact self-similarity".
Arizona Clouds and Sunsets
Arizona Snowbowl thru-tetras: changing Aspen
Atlantic Surf at Yamato (Boca Raton)
Boyce Thompson Arboretum State Park
Desert Botanical Gardens thru-tetras
Butterflies at the Desert Botanical Gardens
Everglades National Park
Flagstaff in Fall
Grand Canyon East Rim, Desert View Dr.
Grand Canyon South Rim, Hermit's Rest Rte.
Grand Canyon South Rim, Mather Pt.
Gumbo Limbo Environmental Complex
Morikami Museum and Japanese Gardens
Oak Creek Canyon in Autumn
Red Rocks of Sedona
Sedona viewed through tetras
Butterfly Gallery (only butterflies)
Boyce Thompson Arboretum in the Rain
Duckweed (Lemna gibba) at The Phoenix Zoo
Math Structures in Falling Snow
Various Mathematical Structures at ASU
Windmills, Webs, and Lines (seen through tetras)