Search results for "Mathematics" in Home Design Ideas

Photo credit: Scott McDonald @ Hedrich Blessing
7RR-Ecohome:
The design objective was to build a house for a couple recently married who both had kids from previous marriages. How to bridge two families together?
The design looks forward in terms of how people live today. The home is an experiment in transparency and solid form; removing borders and edges from outside to inside the house, and to really depict “flowing and endless space”. The house floor plan is derived by pushing and pulling the house’s form to maximize the backyard and minimize the public front yard while welcoming the sun in key rooms by rotating the house 45-degrees to true north. The angular form of the house is a result of the family’s program, the zoning rules, the lot’s attributes, and the sun’s path. We wanted to construct a house that is smart and efficient in terms of construction and energy, both in terms of the building and the user. We could tell a story of how the house is built in terms of the constructability, structure and enclosure, with a nod to Japanese wood construction in the method in which the siding is installed and the exposed interior beams are placed in the double height space. We engineered the house to be smart which not only looks modern but acts modern; every aspect of user control is simplified to a digital touch button, whether lights, shades, blinds, HVAC, communication, audio, video, or security. We developed a planning module based on a 6-foot square room size and a 6-foot wide connector called an interstitial space for hallways, bathrooms, stairs and mechanical, which keeps the rooms pure and uncluttered. The house is 6,200 SF of livable space, plus garage and basement gallery for a total of 9,200 SF. A large formal foyer celebrates the entry and opens up to the living, dining, kitchen and family rooms all focused on the rear garden. The east side of the second floor is the Master wing and a center bridge connects it to the kid’s wing on the west. Second floor terraces and sunscreens provide views and shade in this suburban setting. The playful mathematical grid of the house in the x, y and z axis also extends into the layout of the trees and hard-scapes, all centered on a suburban one-acre lot.
Many green attributes were designed into the home; Ipe wood sunscreens and window shades block out unwanted solar gain in summer, but allow winter sun in. Patio door and operable windows provide ample opportunity for natural ventilation throughout the open floor plan. Minimal windows on east and west sides to reduce heat loss in winter and unwanted gains in summer. Open floor plan and large window expanse reduces lighting demands and maximizes available daylight. Skylights provide natural light to the basement rooms. Durable, low-maintenance exterior materials include stone, ipe wood siding and decking, and concrete roof pavers. Design is based on a 2' planning grid to minimize construction waste. Basement foundation walls and slab are highly insulated. FSC-certified walnut wood flooring was used. Light colored concrete roof pavers to reduce cooling loads by as much as 15%. 2x6 framing allows for more insulation and energy savings. Super efficient windows have low-E argon gas filled units, and thermally insulated aluminum frames. Permeable brick and stone pavers reduce the site’s storm-water runoff. Countertops use recycled composite materials. Energy-Star rated furnaces and smart thermostats are located throughout the house to minimize duct runs and avoid energy loss. Energy-Star rated boiler that heats up both radiant floors and domestic hot water. Low-flow toilets and plumbing fixtures are used to conserve water usage. No VOC finish options and direct venting fireplaces maintain a high interior air quality. Smart home system controls lighting, HVAC, and shades to better manage energy use. Plumbing runs through interior walls reducing possibilities of heat loss and freezing problems. A large food pantry was placed next to kitchen to reduce trips to the grocery store. Home office reduces need for automobile transit and associated CO2 footprint. Plan allows for aging in place, with guest suite than can become the master suite, with no need to move as family members mature.

Also of note is the front porch who's geometry is based on a mathematical equation that I have been working out for 20+ years. It's a beautiful curve that can be applied to large and small scales. A secret I might share....
Jay Weiland

Notice the craftsmanship in this room as evidenced by eight perfect wedges in the floor. The engineering and mathematics required to build an octagon addition demand precision or else the wedges will not fit together.
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This table set melds precision mathematics and procedural computation with the appearance of organic form. When put together, the 6 unique components form a simple rectangular low coffee table. When separated, the odd shapes of the components are evident and they can be used as end tables, benches, or sculptural objects. We developed the forms as a 3-dimensional Voronoi tessellation, an algorithm that permits nuanced formal variations. The basic components are made with precision CNC-cut sheets of Baltic Birch, laminated horizontally with exposed plywood edges, but the edges are shaped by hand to create subtle variations and unique features to each set.

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

This table set melds precision mathematics and procedural computation with the appearance of organic form. When put together, the 6 unique components form a simple rectangular low coffee table. When separated, the odd shapes of the components are evident and they can be used as end tables, benches, or sculptural objects. We developed the forms as a 3-dimensional Voronoi tessellation, an algorithm that permits nuanced formal variations. The basic components are made with precision CNC-cut sheets of Baltic Birch, laminated horizontally with exposed plywood edges, but the edges are shaped by hand to create subtle variations and unique features to each set.

A nail workmanship stepping plate is a flexible device utilized in the realm of nail plan and nail trims. It's a level, commonly metal or plastic plate with unpredictable examples and plans carved onto its surface. Nail professionals and Do-It-Yourself nail devotees use stepping plates to make special and nitty gritty nail craftsmanship rapidly and without any problem.
These stepping plates arrive in various plans, from botanical and mathematical examples to occasion themed pictures and unpredictable lacework. They are fundamental for accomplishing proficient looking nail workmanship without the requirement for cutting edge painting abilities.

True to its namesake, the PI Stool by Alp Nuhoglu for B & T Design adds a mysterious mathematical element to your decor equation. Its form is fully upholstered and available in many premium fabric, eco-leather and genuine leather options in various high value colors. Made from high quality, commercial grade injection-molded foam set on metal frame with steel springs.

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

Expert dining room wallcovering installation in the San Jose area. Executed with absolute mathematical precision around intricate architectural molding, custom wainscoting, and wall fixtures. Features seamless alignment and clean custom trimming on premium designer materials.

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

The deep striated blue is painted on the entry walls to the kitchen. This indigo is offset by mathematically precision stark white squares positioned along the long entry wall of the kitchen. Dark deep blues in the small ante space are constrictive while the spaces upon which it opens is made to feel even enlarged and lighter.

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

On first glance, this staircase reads as restrained. White oak treads rise with natural warmth, metal balusters hold their disciplined rhythm, and the painted black railing traces a clean, straight path upward. Then you notice the elliptical stringer wrap, and the whole composition shifts. Unlike a circular curve drawn with a compass, an ellipse requires mathematical calculation and a craftsman who knows how to make that complexity disappear. Here, it does exactly that.
Natural light finishes the story. Moving through the space across the day, it deepens the oak grain, catches the metal, and lets the black railing guide the eye along the handrail's elliptical path from start to finish. Restraint brought the design this far. One well-executed curve made it memorable.
1976-2026 © Century Stair Company

The visual motif of the spiral is one of the oldest and most enigmatic sacred images known. It is one of the earliest examples of human creative expression, appearing in nearly every society in the ancient world. The spiral has universal appeal and has a mysterious resonance with the human spirit, it is complex yet simple, intriguing and beautiful. The spiral pattern is found extensively in nature – encoded into plants, animals, humans, the earth and galaxies around us. Mathematics can explain the complex algorithms, sequences and equations that make up a spiral pattern, but it can’t explain the lure and fascination of the spiral to the human heart.
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