Fibonacci House - Square Three Architecture (2024)

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Inspired by the Owner’s desire for a modern farmhouse with a whimsical twist, traditional forms were employed to create a feeling of familiarity within this innovative and energy efficient home. The design was further conceived as a series of interconnected volumes skirting the site, creating a rear courtyard environment with a sense of privacy while at the same time taking advantage of the large yard area. The simple orthogonal forms of the house are radially connected by a sweeping, curvilinear form based on the Fibonacci sequence which translates into a spiral. This soft, organic, vertically transparent form also serves as a transitional element connecting the home to the exterior environment. The home opens to the landscaped rear yard beyond, continuing the spiral form, embracing the site and tying it to its natural setting. Views have been strategically framed to afford both privacy and openness, balancing the necessity of naturally well-lit spaces with the comforts of an intimate suburban garden setting.

Fibonacci House - Square Three Architecture (1)

The Fibonacci sequence and related spiral inspired the concept of the home’s site and floor plan as well as appreciating the Owner’s background as a mathematician. While often considered as being defined by a mathematical formula, the Fibonacci sequence is found throughout nature—branching in trees, the arrangement of leaves on a stem, an uncurling fern, the scales on a pine cone to name a few examples. The principles of the Fibonacci sequence has been used by countless artists and architects since the Renaissance in proportioning their works to approximate the golden ratio with the belief that this proportion is aesthetically pleasing based on its harmony, proportion, and mathematical order.

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Fibonacci House - Square Three Architecture (3)

Fibonacci House - Square Three Architecture (4)

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Building off this concept of harmony, the house has been designed according to the principles of Passiv Haus, an energy-efficient building system originating in Central Europe that synergizes exceptional comfort with near-zero energy consumption. The house achieves this through high performance insulation, minimizing air leakage (the blower door target is 0.6 ACH50), and by using an energy recovery ventilator to warm the incoming fresh air with the heat of the exhaust air stream. The heating and cooling system is further bolstered by a geo-coupled heat exchange system combined with hydronic floor coils. The geo-coupled system uses pipes bored 300 feet deep in the ground to extract warmth and cooling from the near infinite reservoir of the Earth.

When square three’s clients bought the property, there was a large Ponderosa Pine tree the original Owners planted when their child was born. However, the tree was in the middle of the building pad area and needed to be removed. square three came up with the idea of preserving the tree by having it removed in sections, milled into slabs and then created a sculpture that is located in roughly the same place where it grew on the property. The sculpture is recessed it into the wall and back lit so it appears to be floating.

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Fibonacci House - Square Three Architecture (7)

We selected square three as our architects because we liked many of the houses that they designed in our area. We found Carl easy to communicate with, and we felt like he understood what we wanted. In the house that they designed for us, we love the very open family space that consists of our kitchen, dining area, and family room. This is where our family spends most of our time. This space opens up to a very private, quiet backyard where our kids play. square three produces high quality design work with thoughtful and sometimes whimsical details. We enjoyed our first experience working with square three so much that we are currently working with them again on a weekend beach home.

— Homeowner

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  • General Contractor

    Pete Moffat Construction

Fibonacci House - Square Three Architecture (2024)

FAQs

What architecture was inspired by the Fibonacci sequence? ›

The geometric harmony and clean proportions of the Taj Mahal are widely believed to be based on the Fibonacci sequence. The main dome and various other architectural elements of the building are aligned with the golden ratio.

What is the golden ratio Fibonacci in architecture? ›

Therefore, it can be verified in several architectural works such as the Parthenon, in which the width and height of the facade follow the golden proportion; in the Egyptian Pyramids, in which each block is 1.618 times larger than the block on the level immediately above, and in some of them the inner chambers are ...

How do you make a Fibonacci square? ›

As in this diagram, draw two squares of unit area side by side on your squared paper, then a square of side 2 units to make a 3 by 2 rectangle, then a square of side 3 units to make a 5 by 3 rectangle, and continue drawing squares whose sides are given by the Fibonacci numbers until you fill your piece of paper.

Where is the Fibonacci sequence used in real life? ›

The Fibonacci sequence, also known as the golden ratio, is utilized in architectural designs, creating aesthetically pleasing structures. In engineering and technology, Fibonacci numbers play a significant role, appearing in population growth models, software engineering, task management, and data structure analysis.

What is the Greek golden ratio architecture? ›

Golden Ratio in Architecture of Ancient times:

The ratio of the height of the pyramid to either of the sides of its base approximately equals to Phi. 2. Ancient Greek Architecture: Almost all the buildings of Ancient Greece used this proportion to define the proportion of the height of the buildings to their base.

What was Palladian architecture inspired by? ›

Palladio was inspired by Roman and Greek architecture, primarily by Marcus Vitruvius Pollio (about 80–70 BC – about 15 BC) and his ideas on perfect proportion.

What is the golden rule of architecture? ›

In architectural terms, this ratio generally takes the form of the golden rectangle – any shape that can be wholly divided into up into a square and a rectangle that, when combined, establishes a ratio, approximately equating to 1:1.61.

Where is the golden rectangle used in architecture? ›

The golden rectangle was considered by the Greeks to be of the most pleasing proportions, and its shape figures in ancient architecture. The same motif is used in modern architecture such as the buildings of Le Corbusier (whose only work in North America is the Carpenter Center at Harvard).

What is the golden ratio in a square design? ›

Take a square and multiple one side by 1.618 to get a new shape: a rectangle with harmonious proportions. If you lay the square over the rectangle, the relationship between the two shapes will give you the Golden Ratio.

What is Fibonacci square? ›

The only square Fibonacci numbers are 0, 1 and 144. • The sum of the first n even numbered Fibonacci numbers is one less than the next Fibonacci number. • The sum of the first n odd numbered Fibonacci numbers is the next Fibonacci number.

What is the first 3 digit square number in Fibonacci? ›

As we can see the first three-digit number which is a square that appears on the list of Fibonacci numbers is 144(square of 12).

What is the difference between the golden spiral and the Fibonacci spiral? ›

A Fibonacci spiral is made of squares that increase in size. But a Golden Spiral is made by nesting smaller and smaller Golden Rectangles within a large Golden Rectangle. The Golden Ratio can be used with other shapes as well.

How is the Fibonacci sequence used in architecture? ›

The principles of the Fibonacci sequence has been used by countless artists and architects since the Renaissance in proportioning their works to approximate the golden ratio with the belief that this proportion is aesthetically pleasing based on its harmony, proportion, and mathematical order.

Why is pineapple Fibonacci? ›

The pineapple shows the fibonacci sequence as they possess the fibonacci spirals and also have the fibonacci sequence shown in the number of sections there are. Through this we see that the fibonacci sequence is all around us from sunflowers to the curves of waves, we just need to look for them.

Who did Fibonacci influence? ›

Although the Liber abaci was more influential and broader in scope, the Liber quadratorum alone ranks Fibonacci as the major contributor to number theory between Diophantus and the 17th-century French mathematician Pierre de Fermat.

What architecture style was influenced by geometric figures? ›

Art Deco is a style that emerged in the early 20th century and was influenced by geometric figures. It is characterized by its use of bold, geometric shapes, clean lines, and symmetrical patterns.

What was French architecture inspired by? ›

Pre-Romanesque

Plans often continued the Roman basilica tradition, but also took influences from as far away as Syria and Armenia. In the East, most structures were in timber, but stone was more common for significant buildings in the West and in the southern areas that later fell under Merovingian rule.

What is classical architecture inspired by? ›

Classical architecture refers to architectural styles derived from Greek and Roman philosophy. Concepts of utility, strength, and beauty heavily influence the styles and designs in classical architecture.

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