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.

The west wall completes the functional needs with a built-in refrigerator and microwave oven combination. A full height pantry with roll-out shelves is around the corner from the refrigerator. To the left of the ovens, is a wall and base cabinet and countertop. A charging stationed was planned for this counter area.
Flooring choices are many. The original kitchen had linoleum and therefore only about 1/8” was available for the new material to sit on top of the sub-floor and still have a level transition to the adjacent dining room and powder room. We removed the original sub-floor and gained ¾”. But a tile floor was not an option because we did not have enough thickness for a concrete bed and the tile. Cork was selected in a light gray and white pattern which compliments the overall white kitchen that the homeowners wanted. The flooring installer prepared for the ½” thick cork by recessing the new ¾” plywood subfloor between the joists at the mathematically correct height. This accomplished having the kitchen, dining room and powder room floors all at the same level without a transition strip, and also provided a very level floor.
JRY & Co.

Designed from a mathematical equation!
Each tile base is approximately 10" square. The wheel-thrown tubes are individually attached with about a 3" depth. Glossy white glaze.
Set of 5.
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The cabinetry is a work of mathematical beauty, a play on positive versus negative space and depth. The composition of layers of materials overlapping construct graphic motifs and visual stimulation.

Art Deco floor inspired design. Extensive inlay with different measurements in the border all lining up mathematically.
Large elegant linoleum floor and multicolored floor eat-in kitchen photo in Los Angeles with a drop-in sink, raised-panel cabinets, white cabinets, tile countertops, yellow backsplash, ceramic backsplash and paneled appliances
Large elegant linoleum floor and multicolored floor eat-in kitchen photo in Los Angeles with a drop-in sink, raised-panel cabinets, white cabinets, tile countertops, yellow backsplash, ceramic backsplash and paneled appliances

Designed from a mathematical equation!
Each tile base is approximately 10" square. The wheel-thrown tubes are individually attached with about a 3" depth. Glossy white glaze.
Set of 5.

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

Alan is great at word mathematical basketball word problems. He concluded that one car port plus one Roof King Platinum Basketball System equals fun in the front yard. His conclusion has been confirmed by the Pro Dunk experts. This is a Roof King Platinum Basketball System that was purchased in April of 2012. It was installed on a 24 ft wide by a 18 ft deep playing area in Ft Worth, TX. Browse all of Alan S's photos navigate to: http://www.produnkhoops.com/photos/albums/alan-24x18-roof-king-platinum-basketball-system-197/

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

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 residential wallcovering installation specializing in high-risk, delicate materials—including fine silk, natural grasscloth, metallic papers, and custom murals. We execute pristine custom cuts around complex architectural trim, lighting fixtures, and high-ceiling spaces with absolute mathematical precision

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 residential wallcovering installation specializing in delicate silks, grasscloth, metallic papers, and murals. Delivering pristine custom cuts and mathematical precision for sophisticated modern interiors.
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