Search results for "Mathematics" in Home Design Ideas

Inspiration for a rustic kitchen remodel in Austin with glass-front cabinets, dark wood cabinets, wood countertops, multicolored backsplash and white appliances

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

This beautiful traditional style kitchen is crafted with inset custom cabinetry. The doors are recessed in a white stain on maple. Countertops are wood with a 3x6 white marble backsplash. Hardwood floors were used to coordinate with the rest of the house.
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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.

Designed and arranged by award-winning and acclaimed fractal artist San Jaya Prime, and collected from a set of foliated black and white marble fractals that match the natural geometry of maps, terrains, and feathers.
The full set includes the shower curtain, bathroom mat, towel set (bath, hand, and wash), toothbrush holder, and soap or lotion dispenser. You can find each of them here on Houzz:
- Shower Curtain: https://www.houzz.com/product/130675887-foliated-marble-as-a-geometric-map-of-the-universe-high-contrast-black-and-white-modern-shower-curtains
- Bathroom Mat: https://www.houzz.com/product/130676684-high-contrast-black-and-white-fanned-fractal-feathers-feathers-in-halftone-dots-modern-bath-mats
- Towel Set: https://www.houzz.com/product/130676688-silver-shikoba-black-and-white-fractal-feathers-bath-towel-set-in-high-contrast-modern-bath-towels
- Toothbrush Holder and Soap Dispenser Set: https://www.houzz.com/product/130692240-tooth-brush-holder-and-soap-dispenser-set-with-black-and-white-fractal-of-foliat-modern-bathroom-accessory-sets

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.

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.

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 4.

Photography-Hedrich Blessing
Glass House:
The design objective was to build a house for my wife and three kids, looking forward in terms of how people live today. To experiment with transparency and reflectivity, removing borders and edges from outside to inside the house, and to really depict “flowing and endless space”. To construct a house that is smart and efficient in terms of construction and energy, both in terms of the building and the user. To tell a story of how the house is built in terms of the constructability, structure and enclosure, with the nod to Japanese wood construction in the method in which the concrete beams support the steel beams; and in terms of how the entire house is enveloped in glass as if it was poured over the bones to make it skin tight. To engineer the house to be a smart house that 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. To develop a planning module based on a 16 foot square room size and a 8 foot wide connector called an interstitial space for hallways, bathrooms, stairs and mechanical, which keeps the rooms pure and uncluttered. The base of the interstitial spaces also become skylights for the basement gallery.
This house is all about flexibility; the family room, was a nursery when the kids were infants, is a craft and media room now, and will be a family room when the time is right. Our rooms are all based on a 16’x16’ (4.8mx4.8m) module, so a bedroom, a kitchen, and a dining room are the same size and functions can easily change; only the furniture and the attitude needs to change.
The house is 5,500 SF (550 SM)of livable space, plus garage and basement gallery for a total of 8200 SF (820 SM). The mathematical grid of the house in the x, y and z axis also extends into the layout of the trees and hardscapes, all centered on a suburban one-acre lot.

Kitchen and Adjoining Coffee Beverage Bar, Butlers Pantry and Walk-in pantry room with plenty of storage for a large family needs.
A fresh wallpaper with stylish arrangements of succulents, inspired by the exotic habitat of the Caribbean islands. From the Rediscovered Paradise Collection: Magnificent imagery was selected to create one of the most amazing wallpaper collections. Ancient symbols, vintage patents and drawings, famous mathematical formulas or iconical photography are the ingredients of the first MindTheGap collection of wallpapers. This collection is suitable for any interior type, especially for those the vintage reinvented or the well known eclectic design style.

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.

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.

Open Kitchen Concept - Dining room, green cabinets, wall oven, vent hood, range, three seat kitchen island, pendants, kitchen addition, herringbone tile backsplash in Upper Arlington

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.

Photography-Hedrich Blessing
Glass House:
The design objective was to build a house for my wife and three kids, looking forward in terms of how people live today. To experiment with transparency and reflectivity, removing borders and edges from outside to inside the house, and to really depict “flowing and endless space”. To construct a house that is smart and efficient in terms of construction and energy, both in terms of the building and the user. To tell a story of how the house is built in terms of the constructability, structure and enclosure, with the nod to Japanese wood construction in the method in which the concrete beams support the steel beams; and in terms of how the entire house is enveloped in glass as if it was poured over the bones to make it skin tight. To engineer the house to be a smart house that 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. To develop a planning module based on a 16 foot square room size and a 8 foot wide connector called an interstitial space for hallways, bathrooms, stairs and mechanical, which keeps the rooms pure and uncluttered. The base of the interstitial spaces also become skylights for the basement gallery.
This house is all about flexibility; the family room, was a nursery when the kids were infants, is a craft and media room now, and will be a family room when the time is right. Our rooms are all based on a 16’x16’ (4.8mx4.8m) module, so a bedroom, a kitchen, and a dining room are the same size and functions can easily change; only the furniture and the attitude needs to change.
The house is 5,500 SF (550 SM)of livable space, plus garage and basement gallery for a total of 8200 SF (820 SM). The mathematical grid of the house in the x, y and z axis also extends into the layout of the trees and hardscapes, all centered on a suburban one-acre lot.

This particular interior door model is based on the ideas discussed below and will be a welcome addition to your decor in any configuration.
The concept of infinity goes back to ancient Greece, with Zeno of Elea (the celebrated author of the paradoxical riddles which people have been debating for thousands of years now) being first to theorize about it mathematically. Physicists and mathematicians have been infatuated with it ever since. Artists, from old masters to modern impressionists, are intimately familiar with the concept: knowing how to build perspective is one of the plein air painter’s basic skills. Vanishing points, corresponding to mathematical points of infinity located at an infinite distance from the observer, are the crux of any landscape composition. This multi-panel interior door model was inspired by the idea that space, distances, and forms can be realistically represented through elegance. Think of it as an interior door that makes the room on which it opens seems more spacious than it might actually be in reality.

Inspiration for a contemporary medium tone wood floor and brown floor great room remodel in Atlanta with white walls

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.
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