Graphics3D[{PointSize[0.02], Point[{0.06805963131158682, 
    -0.47785281863775103, 0}], Point[{0.038198655898681134, 
    -0.24833593410498148, -0.3552973687781228}], 
  Point[{-0.36569110534359844, -0.21460013286250262, -0.23063440363979948}], 
  Point[{0.01913569408019503, -0.15979001337368925, 0.4550564871885879}], 
  Point[{-0.27058228862624417, -0.2923149929715175, 0.1752234679110145}], 
  Point[{-0.4146150425749896, 0.10346267240155886, 0.22442208354878876}], 
  Point[{0.36569110534359844, 0.21460013286250273, 0.23063440363979965}], 
  Point[{-0.03819865589868122, 0.2483359341049812, 0.355297368778123}], 
  Point[{-0.0680596313115873, 0.477852818637751, 0}], 
  Point[{0.4146150425749899, -0.10346267240155864, -0.2244220835487885}], 
  Point[{0.2705822886262438, 0.29231499297151764, -0.1752234679110149}], 
  Point[{-0.019135694080194873, 0.1597900133736895, -0.45505648718858843}], 
  Point[{0.33866234144090324, -0.20554148597590888, 0.18007390086710823}], 
  Point[{-0.3386623414409029, 0.2055414859759092, -0.1800739008671081}], 
  Line[{{0.06805963131158682, -0.47785281863775103, 0}, 
    {0.038198655898681134, -0.24833593410498148, -0.3552973687781228}}], 
  Line[{{0.06805963131158682, -0.47785281863775103, 0}, 
    {-0.27058228862624417, -0.2923149929715175, 0.1752234679110145}}], 
  Line[{{0.06805963131158682, -0.47785281863775103, 0}, 
    {0.33866234144090324, -0.20554148597590888, 0.18007390086710823}}], 
  Line[{{0.038198655898681134, -0.24833593410498148, -0.3552973687781228}, 
    {-0.36569110534359844, -0.21460013286250262, -0.23063440363979948}}], 
  Line[{{0.038198655898681134, -0.24833593410498148, -0.3552973687781228}, 
    {0.4146150425749899, -0.10346267240155864, -0.2244220835487885}}], 
  Line[{{0.038198655898681134, -0.24833593410498148, -0.3552973687781228}, 
    {-0.019135694080194873, 0.1597900133736895, -0.45505648718858843}}], 
  Line[{{-0.36569110534359844, -0.21460013286250262, -0.23063440363979948}, 
    {-0.27058228862624417, -0.2923149929715175, 0.1752234679110145}}], 
  Line[{{-0.36569110534359844, -0.21460013286250262, -0.23063440363979948}, 
    {-0.3386623414409029, 0.2055414859759092, -0.1800739008671081}}], 
  Line[{{0.01913569408019503, -0.15979001337368925, 0.4550564871885879}, 
    {-0.27058228862624417, -0.2923149929715175, 0.1752234679110145}}], 
  Line[{{0.01913569408019503, -0.15979001337368925, 0.4550564871885879}, 
    {-0.03819865589868122, 0.2483359341049812, 0.355297368778123}}], 
  Line[{{0.01913569408019503, -0.15979001337368925, 0.4550564871885879}, 
    {0.33866234144090324, -0.20554148597590888, 0.18007390086710823}}], 
  Line[{{-0.27058228862624417, -0.2923149929715175, 0.1752234679110145}, 
    {-0.4146150425749896, 0.10346267240155886, 0.22442208354878876}}], 
  Line[{{-0.4146150425749896, 0.10346267240155886, 0.22442208354878876}, 
    {-0.03819865589868122, 0.2483359341049812, 0.355297368778123}}], 
  Line[{{-0.4146150425749896, 0.10346267240155886, 0.22442208354878876}, 
    {-0.3386623414409029, 0.2055414859759092, -0.1800739008671081}}], 
  Line[{{0.36569110534359844, 0.21460013286250273, 0.23063440363979965}, 
    {-0.03819865589868122, 0.2483359341049812, 0.355297368778123}}], 
  Line[{{0.36569110534359844, 0.21460013286250273, 0.23063440363979965}, 
    {0.2705822886262438, 0.29231499297151764, -0.1752234679110149}}], 
  Line[{{0.36569110534359844, 0.21460013286250273, 0.23063440363979965}, 
    {0.33866234144090324, -0.20554148597590888, 0.18007390086710823}}], 
  Line[{{-0.03819865589868122, 0.2483359341049812, 0.355297368778123}, 
    {-0.0680596313115873, 0.477852818637751, 0}}], 
  Line[{{-0.0680596313115873, 0.477852818637751, 0}, 
    {0.2705822886262438, 0.29231499297151764, -0.1752234679110149}}], 
  Line[{{-0.0680596313115873, 0.477852818637751, 0}, 
    {-0.3386623414409029, 0.2055414859759092, -0.1800739008671081}}], 
  Line[{{0.4146150425749899, -0.10346267240155864, -0.2244220835487885}, 
    {0.2705822886262438, 0.29231499297151764, -0.1752234679110149}}], 
  Line[{{0.4146150425749899, -0.10346267240155864, -0.2244220835487885}, 
    {0.33866234144090324, -0.20554148597590888, 0.18007390086710823}}], 
  Line[{{0.2705822886262438, 0.29231499297151764, -0.1752234679110149}, 
    {-0.019135694080194873, 0.1597900133736895, -0.45505648718858843}}], 
  Line[{{-0.019135694080194873, 0.1597900133736895, -0.45505648718858843}, 
    {-0.3386623414409029, 0.2055414859759092, -0.1800739008671081}}]}, 
 {PlotRange -> {{-0.4151150425749896, 0.4151150425749899}, 
    {-0.47835281863775103, 0.478352818637751}, {-0.45555648718858843, 
     0.4555564871885879}}, Boxed -> False}]
