uses a a novel mathematical approach, Direct Simplicial Dynamics (“DSD”), to drive highly accurate and realistic biomechanical simulations.

Direct Simplicial Dynamics

BioMedX’s X³ provides a computational model to calculate elastic surfaces. X³ is highly responsive while retaining a clear relation with the physical theory of tensors in continuum mechanics.
X³ works easily with triangles (polygons) and applies suitable methods to close the surfaces to generate volumes.
X³ uses simplices as they have the exact degrees of freedom and are naturally suited to the tensors of elasticity.
X³ DSD takes full advantage of the naturalness of simplices both to describe symmetric tensors and to accommodate speed and simplicity in 3D and surface textures for rendering. Thus, this mathematical approach avoids both the FEM's complexity and the inadequacies of the ball-and-springs approach.
X³ DSD and its novel mathematical approach are discussed and published in a peer-reviewed journal, Engineering Reports, by Wiley.


BioMedX’s novel approach works easily with the triangles to close their surfaces and generate volumes by transforming them into tetrahedra. The X³ DSD equations allow the user to manipulate the same objects (simplices) favored by graphics applications, thereby making the development of software relatively straight-forward. Simplices are also naturally suited to the tensors of elasticity and the DSD approach is one of minimizing energy rather than solving for force balance.

Novel Features of
X³ 3D Physics Engine

True 3D

Other commercial physics engines manipulate polygons to form the 3-dimensional shape of an object. X³ is the only physics engine that uses sophisticated and proven scientific methods to convert polygons into 3D tetrahedra that are then impacted by defined applied energies.

Dataset Dataset App App


Depending on the objective of the application, different data sources can be combined to form a dataset to drive the desired results of the simulation. BioMedX’s first application known as FACIEM³, integrates individualized facial scans, along with clinical and procedural data to drive the 3D simulations of lip augmentation and wrinkle smoothing.

Data-Specific Simulations

X³ uses specifically designated datasets to drive the outcomes of the simulation. This data input can be adjusted and customized to change the simulation results in real-time and have tremendous implications for medical, research, and many other verticals where simulations can be utilized to assess and optimize the desired results.

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X³ Platform Overview

BioMedX’s X³ 3D Physics Engine uses computational mathematical modeling and discrete differential geometry to form 3D tetrahedral shapes to which defined energy can be applied to deliver highly accurate and realistic simulation results.

FACIEM Aesthetics Simulator

BioMedX has validated the X³ 3D Physics Engine with the FACIEM Aesthetics Simulator. FACIEM³ is a derivative of X³ that has been developed to capture the specific morphing and transformational algorithms required for medical aesthetic simulations such as lip augmentation and wrinkle smoothing.

Learn more about FACIEM

X³ Plugin

The X³ Plugin for Unreal Engine provides an integrated workflow for Unreal developers to utilize the X³ 3D Physics Engine in their projects. The X³ Plugin provides the tools and functionalities needed to run complex data-driven simulations within the Unreal Engine Editor without switching or importing from other programs.

Learn more about X³ Plugin

X³ Version 2.0

X³ Version 2.0 focuses on the generation of digital 3D models of internal organs through the fusion of 2D and 3D medical imaging data such as MR, CT, PET, Angiogram, X-Ray, Ultrasound, etc.

Learn more about X³ VERSION 2.0