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Add Leaderboard video-generation first-frame assets (batch 214/303)

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  1. .gitattributes +40 -0
  2. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/CineCamera_7/rgb/0000.jpg +3 -0
  3. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  4. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/blender_CineCamera_7.json +0 -0
  5. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/blender_CineCamera_Moving.json +0 -0
  6. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/caption.txt +1 -0
  7. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/CineCamera_8/rgb/0000.jpg +3 -0
  8. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  9. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/blender_CineCamera_8.json +0 -0
  10. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/blender_CineCamera_Moving.json +0 -0
  11. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/caption.txt +1 -0
  12. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/CineCamera_7/rgb/0000.jpg +3 -0
  13. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  14. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/blender_CineCamera_7.json +0 -0
  15. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/blender_CineCamera_Moving.json +0 -0
  16. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/caption.txt +1 -0
  17. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/CineCamera_4/rgb/0000.jpg +3 -0
  18. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  19. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/blender_CineCamera_4.json +0 -0
  20. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/blender_CineCamera_Moving.json +0 -0
  21. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/caption.txt +1 -0
  22. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/CineCamera_4/rgb/0000.jpg +3 -0
  23. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  24. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/blender_CineCamera_4.json +0 -0
  25. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/blender_CineCamera_Moving.json +0 -0
  26. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/caption.txt +1 -0
  27. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/CineCamera_11/rgb/0000.jpg +3 -0
  28. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  29. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/blender_CineCamera_11.json +0 -0
  30. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/blender_CineCamera_Moving.json +0 -0
  31. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/caption.txt +1 -0
  32. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/CineCamera_4/rgb/0000.jpg +3 -0
  33. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  34. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/blender_CineCamera_4.json +0 -0
  35. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/blender_CineCamera_Moving.json +0 -0
  36. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/caption.txt +1 -0
  37. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/CineCamera_6/rgb/0000.jpg +3 -0
  38. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  39. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/blender_CineCamera_6.json +0 -0
  40. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/blender_CineCamera_Moving.json +0 -0
  41. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/caption.txt +1 -0
  42. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/CineCamera_0/rgb/0000.jpg +3 -0
  43. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  44. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/blender_CineCamera_0.json +0 -0
  45. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/blender_CineCamera_Moving.json +0 -0
  46. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/caption.txt +1 -0
  47. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/CineCamera_8/rgb/0000.jpg +3 -0
  48. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/CineCamera_Moving/rgb/0000.jpg +3 -0
  49. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/blender_CineCamera_8.json +0 -0
  50. Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/blender_CineCamera_Moving.json +0 -0
.gitattributes CHANGED
@@ -21295,3 +21295,43 @@ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflect
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  Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__dnjolw_trajectory/CineCamera_1/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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  Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__dnjolw_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__YLZOsR_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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  Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__dnjolw_trajectory/CineCamera_1/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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  Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__dnjolw_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/CineCamera_4/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/CineCamera_4/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/CineCamera_6/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/CineCamera_0/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/CineCamera_8/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__8PIwCh_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__AaMlKq_trajectory/CineCamera_4/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__AaMlKq_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__PJWstc_trajectory/CineCamera_9/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__PJWstc_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__S3DDdD_trajectory/CineCamera_12/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__S3DDdD_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__ab2iKY_trajectory/CineCamera_8/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__ab2iKY_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__bioFHI_trajectory/CineCamera_1/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__bioFHI_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__dHam1r_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__dyelkW_trajectory/CineCamera_Moving/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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+ Leaderboard/Video[[:space:]]Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__klTGi9_trajectory/CineCamera_9/rgb/0000.jpg filter=lfs diff=lfs merge=lfs -text
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__ghX6Fj_trajectory/caption.txt ADDED
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+ Two rough, reflective blue-gray and pale green fans activate, directing airflow toward the front of a cyan automobile. The resulting wind force exerts a net forward pressure, inducing linear acceleration as the vehicle advances steadily. Simultaneously, two purple U-shaped magnets approach each other along a straight-line trajectory. Their interacting magnetic fields generate mutual attraction, causing gradual convergence. The automobile moves along the direction of the applied wind force vector sum, while the magnets continue converging under magnetic attractive force.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__mUC5Ri_trajectory/caption.txt ADDED
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+ Two red, green, and brown plastic fans are activated, directing airflow toward the vehicle front where it undergoes deflection. This exerts a net forward pressure, inducing steady forward motion and generating linear acceleration. Concurrently, two purple U-shaped magnets approach along a linear trajectory. Interacting magnetic fields generate mutual attractive forces, facilitating gradual convergence. The direction of vehicle motion aligns with the vector sum of the applied wind forces, while the magnets continuously converge under magnetic attraction.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__o6kW0e_trajectory/caption.txt ADDED
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1
+ Two gray matte, moss-gray, and green rough blue fans direct airflow toward a gray rough car. The wind force exerts a net forward pressure, inducing steady forward progression and linear acceleration of the vehicle. Concurrently, two purple U-shaped magnets approach along a rectilinear trajectory. Their interacting magnetic fields generate mutual attraction, resulting in gradual convergence. The vehicle's motion aligns with the vector sum of the applied wind forces, while the magnets continue to converge under magnetic attraction. Throughout the motion, the airflow deflects along the vehicle contour.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__oCDxps_trajectory/caption.txt ADDED
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+ Two rotating fans equipped with weathered gray heads and salmon-colored bases initiate operation, directing airflow toward the front of a red-brown automobile. Wind-induced forces cause flow deflection around the vehicle, generating net forward pressure that induces linear acceleration. The automobile proceeds steadily along the direction of the vector sum of the applied wind forces. Concurrently, two purple U-shaped magnets traverse a linear trajectory toward one another. Interaction between their magnetic fields produces an attractive force, facilitating gradual approach. The automobile continues forward motion while the magnets converge under magnetic influence.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__pjP05Y_trajectory/caption.txt ADDED
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+ Two rotating fans with yellow blades and green bases deliver airflow to the red car. Activation generates wind force, applying net forward pressure that induces steady vehicle advancement and linear acceleration. Concurrently, two purple U-shaped magnets approach each other along a straight trajectory. The interacting magnetic fields generate mutual attraction, causing gradual convergence. The red car maintains alignment with the vector sum direction of the applied wind force, while the magnets continue converging under magnetic attraction.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__qtwGnI_trajectory/caption.txt ADDED
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+ Two low-density plastic fans equipped with salmon-colored components commence operation, directing airflow toward a red wooden cart. The wind force exerts a net forward pressure, generating linear acceleration. Concurrently, two purple U-shaped magnets approach one another along a rectilinear trajectory; their interacting magnetic fields produce mutual attraction, resulting in gradual convergence. The cart advances steadily along the direction of the vector sum of the applied wind force, while the magnets continue to converge under the influence of magnetic attraction.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MagnetAttract__bg264__uVVNHu_trajectory/caption.txt ADDED
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1
+ Two fans are activated, directing airflow toward the front end of the blue automobile. Wind force applies a net forward pressure, inducing linear acceleration and propelling the vehicle steadily. Simultaneously, two purple U-shaped magnets approach each other along a straight trajectory. Interacting magnetic fields generate mutual attraction, causing gradual convergence. The vehicle moves in the direction of the resultant wind force vector, while the magnets converge under magnetic attraction. Fluid dynamics drives the translational motion of the vehicle, and field potentials determine the relative displacement of the reciprocally approaching magnetic bodies.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0IMyvF_trajectory/caption.txt ADDED
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+ Two blue plastic spheres roll on a horizontal sandy surface. The leading sphere accelerates under sustained wind force, increasing velocity prior to an elliptical mirror. Simultaneously, the second blue plastic sphere enters the airflow from a lateral direction. Asymmetric wind pressure induces a measurable lateral deflection, causing its trajectory to deviate from rectilinear motion. A reflective green plastic fan supplies the driving force. During the interaction, light reflects from the fan surface.
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Leaderboard/Video Generation/TriplePhysics/WindPushSameDir_WindDeflectMotion_MirrorFragmentReflect__bg281__0XGlbn_trajectory/caption.txt ADDED
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+ A blue sphere rolls on a horizontal sandy surface, propelled by continuous wind force generated by a blue plastic matte gray-cyan fan along the trajectory. Sustained aerodynamic forces accelerate the sphere, increasing its velocity. Upon reaching an elliptical mirror, the sphere rolls. Concurrently, a second blue sphere enters the airflow laterally, exhibiting measurable lateral deflection and deviating from the initial linear trajectory due to asymmetric wind pressure. The interaction dynamics preserve conservation of mass and momentum.
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