Fractal Fluency

Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.  

Benoit Mandelbrot, in his introduction to The Fractal Geometry of Nature
Earth’s Most Stunning Natural Fractal Patterns

The Fractal Foundation describes a fractal as ““a never-ending pattern that repeats itself in different scales. This property is ‘self-similarity’”. These repeated patterns are found in the “roughness” of nature and the structure of our bodies, creating an order which is thought to be the subconscious reason we have such deep emotional responses to the beauty of nature.

Human beings are fascinated with the symmetry and beauty of fractals despite (or perhaps because) they are mathematically incredibly complex. Benoit Mandelbrot, a mathematician and polymath, coined the term “fractal” while working to understand the “roughness and self-similarity” in nature. Well, actually, his first work was looking at the “wild randomness” of the stock market… but as he explained, his formal work at IBM for 35 years allowed him to ask deeper questions.

“Dramatically referred to as “the fingerprint of life,” their repetition of patterns across multiple scales forms the basic building blocks of many of nature’s patterns ranging from clouds, trees, and mountains through to our brains, blood vessels, and lungs.”

Fractal Fluency: Processing of Fractal Stimuli Across Sight, Sound, and Touch, Taylor et. al. 2024


Most of us haven’t heard of fractals… but knowing about them allows us to see the world and our studies in medicine through (literally) a different lens. How cool is that?

The power of patterns

Religion and Spirituality

People who are ill or hurting often turn to their religious roots for solace.  The mind and body connection is a powerful one, and one that can contribute to good patient care.  Spirituality in medicine can take an overtly religious tone, but only if both the physician and patient are completely comfortable.  No matter what your religious background, you will care for patients whose belief system is different from your own.  The true root of spirituality in medicine is compassion. Regardless of your religious background and your personal beliefs you can cultivate a philosophy of compassion.  Both you and the patients you care for will do better because of it.

 The workday can be onerous and fatigue can make you lose perspective.  It is important to find something greater than you and spend some time there everyday.  The most efficient method is to look inside of yourself by just sitting.  Learn to just sit.  It is harder than it sounds, but very powerful when achieved.  Slow your breathing, close your eyes and let the thoughts go.  Concentrate on your breathing and relax all your muscles.  Don’t fidget, don’t move.  When the thoughts start running (and they will), just acknowledge them and let them go.  Try to get to a moment (and that it all it will usually be) when your mind is silent and your body relaxed.  This is the moment to listen.  Being able to quiet yourself this way is very conducive to allowing your mind to work on the “big picture”.  If you spend even 10 minutes everyday in this kind of meditation, you will be surprised at how some of the things that are worrying you become “solved”.

 Work at finding beautiful places where you can sit for a minute or walk.  Nature is one of the most powerful spiritual experiences.  If you have a favorite place to hike or be outside, take some pictures and blow them up for your house or call room.  Put beautiful plants in your house and then take care of them. (Dead plants are a bad way to cultivate spirtituality…)  Watch for the surprising moments of beauty in a day and notice them.  Look for the flower blooming outside a patient’s room, the proud look of a father watching his two-year-old totter into the hospital, a new painting on the wall.

Cultivate a sense of wonder.  Have you ever seen anything more incredible than a beating heart in a surgeon’s hand?  Allow yourself a moment to be amazed in the middle of the day.  People have incredible resilience at times – notice it and appreciate it.