Detect which edge is in contact with floor - Physics Ammojs vs custom webgpu engine

I use mesh loading from obj files using blender for modeling.

I have one cube also in physics world it is the cube shape.And my physics works fine.

Now i need to detect which edge is on top (dice).

This is source project link

Logic is : Vertex stay same - state is in viewModel/projection

I need find trixk to catch and figure which face is touchig or which face is on top in current situation.

Here some most interest part of code (visual part):

 this.getTransformationMatrix = (pos) => {        const now = Date.now();        const deltaTime = (now - this.lastFrameMS) / this.mainCameraParams.responseCoef;        this.lastFrameMS = now;        // const this.viewMatrix = mat4.identity()        const camera = this.cameras[this.mainCameraParams.type];        this.viewMatrix = camera.update(deltaTime, this.inputHandler());        mat4.translate(this.viewMatrix, vec3.fromValues(pos.x, pos.y, pos.z), this.viewMatrix);        mat4.rotate(          this.viewMatrix,          vec3.fromValues(this.rotation.axis.x, this.rotation.axis.y, this.rotation.axis.z),          degToRad(this.rotation.angle), this.viewMatrix)          // console.info('angle: ', this.rotation.angle, ' axis ' ,  this.rotation.axis.x, ' , ', this.rotation.axis.y, ' , ',  this.rotation.axis.z)        mat4.multiply(this.projectionMatrix, this.viewMatrix, this.modelViewProjectionMatrix);        return this.modelViewProjectionMatrix;      }

One more code part maybe most inportant(physics part):

  detectCollision() {    let dispatcher = this.dynamicsWorld.getDispatcher();    let numManifolds = dispatcher.getNumManifolds();    // console.log('detect collision')    for(let i = 0;i < numManifolds;i++) {      let contactManifold = dispatcher.getManifoldByIndexInternal(i);      let numContacts = contactManifold.getNumContacts();      this.rigidBodies.forEach((item) => {        if(item.kB == contactManifold.getBody0().kB) {          // console.log('Detected body0 =', item.name)        }        if(item.kB == contactManifold.getBody1().kB) {          // console.log('Detected body1 =', item.name)        }      })      if(this.ground.kB == contactManifold.getBody0().kB &&      this.getNameByBody(contactManifold.getBody1()) == 'CubePhysics1') {        // console.log(this.ground ,'GROUND IS IN CONTACT WHO IS BODY1 ', contactManifold.getBody1())        // console.log('GROUND IS IN CONTACT WHO IS BODY1 getNameByBody  ', this.getNameByBody(contactManifold.getBody1()))        // CHECK ROTATION        var testR = contactManifold.getBody1().getWorldTransform().getRotation();        var TEST = this.getBodyByName('CubePhysics2')        // console.log('testR.getAngle() =  ', radToDeg(testR.getAngle()))        // console.log('testR.getAngle() =  ',  TEST )        // console.log('testR.getAxis() =  ', testR.getAxis().x(), ' y ' ,  testR.getAxis().y(), ' z ' ,  testR.getAxis().z())        // console.log('testR.x y z() =  ', testR.x(), ' , ' , testR.y(), '  , ' , testR.z() , ' w ', testR.w())      }      for(let j = 0;j < numContacts;j++) {        let contactPoint = contactManifold.getContactPoint(j);        let distance = contactPoint.getDistance();        // console.log({manifoldIndex: i, contactIndex: j, distance: distance});      }    }  }

I dont now who can help me info from quat to find top side face...

Any suggestion.

This is interest explanation for viewModel matrix presentation

I can make syntetic physic bodies to attach for each face and then track position but i dont wanna do this i know that data is alredy present...