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Kasper Bergholt

Sea Urchin Shell | July 2023 | Geometrical Patterns | Fibonacci Sequency | Objects for an Ideal Home

Copenhagen, Denmark

This photo of a sea urchin is the first photo in a series titled 'Objects for an Ideal Home' (started in July 2023). The sea urchin was bought from a local shop in Lønstrup and was an ideal object to experiment with my newly bought Nikon D3.

Camera: Nikon D3; Lens: Carl Zeiss Milvus 50mm f2. Minimal post-processing. Natural lightning. Several takes with different backgrounds, distances between lens and sea urchin, different angles and different f-stops.

Also see

Kasper Bergholt Photography, Copenhagen.

The photo's content



This is a black-and-white photograph showcasing a detailed, close-up view of of a sea urchin shell.

The image highlights the intricate texture and pattern of the shell, emphasizing the raised bumps and symmetrical lines radiating from the center. The stark contrast between the shell and the dark background creates a strong visual impact, bringing out the shell’s natural geometric design.

The image’s high clarity and sharp focus on the central details suggest a macro lens was likely used, capturing the shell's unique structure with fine detail.

Geometrical patterns

The shell demonestrates a beautiful natural pattern, which is reminiscent of the types of patterns often associated with the Fibonacci sequence and other forms of mathematical symmetry.

Here’s how the Fibonacci sequence and other mathematical structures might be observed in relation to natural objects:

Radial Symmetry: The shell has radiating lines from a central point, resembling the radial symmetry often seen in nature.

These lines divide the shell into sections, and while they might not strictly follow a Fibonacci sequence in terms of numbers, they contribute to a sense of balanced proportion.

Growth Patterns: The Fibonacci sequence often appears in natural growth patterns, where each new element is a sum of the previous two.

In sea urchins and similar shells, the bumps or nodes on the surface may increase in size or frequency in a pattern that could theoretically align with Fibonacci-based spirals.

Though not precisely a sequence, each new "layer" of growth might exhibit changes based on additions that follow a natural growth rule.

Shell Surface Texture: If we mapped the bumps and nodules on the shell surface, we might find a gradual progression in the spacing or size, hinting at logarithmic or golden spirals.

The Fibonacci spiral approximates the golden spiral, which is often seen in shells and can create a similar appearance to what you observe here.

Central Pattern: The focal point at the center of the shell resembles the starting point of a spiral.

While not explicitly following a Fibonacci sequence, natural spirals that do follow such sequences often begin with a defined central point and expand outward in a predictable growth pattern.

To formally analyze the structure's adherence to Fibonacci properties, we would need to measure the relative sizes and distances of the bumps, counting and comparing them to see if they align with the sequence.

But visually, it already demonstrates qualities that express the aesthetic and rules of shape found in Fibonacci-based natural patterns.

Also see:

The 'Flora Excursoria Hafniensis' Series.

Carl Zeiss 50mm f/2 distagon
1/500s f/4.0 at 50.0mm iso400 full exif

other sizes: small medium large original auto
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