Apparatus and system for dental modeling

An apparatus for dental modeling, the apparatus comprising:

• a first tray;
• a second tray disposed opposite the first tray;
• and
• a dearticulating hinge coupling the first tray to the second tray, the dearticulating hinge comprising a first hinging element coupled to one of the first tray and the second tray and a second hinging element coupled to the other of the first tray and the second tray, at least one of the first hinging element and the second hinging element comprising a disengaging element configured to engage a spur to uncouple the first hinging element from the second hinging element upon extending the first tray and the second tray beyond a predefined angle relative to one another, wherein the first hinging element comprises a substantially cylindrical U-channel disposed about a hinging axis and wherein the second hinging element comprises a C-shaped armature, the C-shaped armature disposed within the U-channel, wherein the C-shaped armature is pivotable around the hinging axis, wherein the disengaging element comprises an end of the C-shaped armature and wherein the spur comprises an extension extending from a surface within the U-channel, wherein the end of the C-shaped armature engages the extension extending from the surface within the U-channel to disengage the C-shaped armature from the U-channel and uncouple the first hinging element from the second hinging element.