Abstract: A method of cutting a dental aligner includes identifying, for each tooth of a plurality of teeth of a model representative of a dentition of a user, a first point and a second point based on a line around tooth (LAT) for the tooth, determining a distance between the first point and a cut plane based on a characteristic of the dentition where the distance for a first is different than the distance for a second tooth, identifying a plurality of points on a first LAT of the first tooth based on the first cut plane and a plurality of points on a second LAT of the second tooth based on the second cut plane, and defining a cut line based on the plurality of points on the first LAT and the plurality of points on the second LAT.

Abstract: Systems and methods for trimming dental aligners include a cut line system for identifying a first point and a second point based on a line around tooth (LAT) for a tooth of a model representative of a dentition of a user, where the first point is disposed on a tooth-gingiva interface of the tooth. The cut line system defines a cut plane at a distance from the first point toward the second point, where the cut plane intersects a line between the first point and the second point, identifies a plurality of points on the LAT based on the cut plane, defines a cut line based on the plurality of points on the LAT and the first point, and controls a cutting system to cut the dental aligner along the cut line.

Abstract: Systems and methods for trimming dental aligners include a cut line system for identifying a first point and a second point based on a line around tooth (LAT) for a tooth of a model representative of a dentition of a user, where the first point is disposed on a tooth-gingiva interface of the tooth. The cut line system defines a cut plane at a distance from the first point toward the second point, where the cut plane intersects a line between the first point and the second point, identifies a plurality of points on the LAT based on the cut plane, defines a cut line based on the plurality of points on the LAT and the first point, and controls a cutting system to cut the dental aligner along the cut line.

Abstract: Systems and methods for trimming dental aligners include a cut line system for identifying a first point and a second point based on a line around tooth (LAT) for a tooth of a model representative of a dentition of a user, where the first point is disposed on a tooth-gingiva interface of the tooth. The cut line system defines a cut plane at a distance from the first point toward the second point, where the cut plane intersects a line between the first point and the second point, identifies a plurality of points on the LAT based on the cut plane, defines a cut line based on the plurality of points on the LAT and the first point, and controls a cutting system to cut the dental aligner along the cut line.

Abstract: Systems and methods for trimming dental aligners include a cut line system for identifying a first point and a second point based on a line around tooth (LAT) for a tooth of a model representative of a dentition of a user, where the first point is disposed on a tooth-gingiva interface of the tooth. The cut line system defines a cut plane at a distance from the first point toward the second point, where the cut plane intersects a line between the first point and the second point, identifies a plurality of points on the LAT based on the cut plane, defines a cut line based on the plurality of points on the LAT and the first point, and controls a cutting system to cut the dental aligner along the cut line.

Abstract: Systems, catalysts, and methods are provided for transforming carbon based material into synthetic mixed alcohol fuel.

Abstract: Systems, catalysts, and methods are provided for transforming carbon based material into synthetic mixed alcohol fuel.

Abstract: Provided herein are compositions for coatings that repel dust. The compositions comprise colloidal silica suspended in a low molecular weight alcohol, one or more hard nanoparticles, a fluoride source, and one or more combustible organic compounds. Methods of preparing a coating from the compositions are also provided herein.

Abstract: Systems, catalysts, and methods are provided for transforming carbon based material into synthetic mixed alcohol fuel.

Abstract: Provided herein are compositions for coatings that repel dust. The compositions comprise colloidal silica suspended in a low molecular weight alcohol, one or more hard nanoparticles, a fluoride source, and one or more combustible organic compounds. Methods of preparing a coating from the compositions are also provided herein.

Abstract: Systems, catalysts, and methods are provided for transforming carbon based material into synthetic mixed alcohol fuel.