tetra
{1{2,3,4},2{1,3,4},3{1,2,4},4{1,2,3}}
FindEmbedding[tetra,2,If[#<3,1,0]&];
Show[Last[%]];
EmbeddedMatrix[First[%178]]
{{0,1.1547,0.816475,0.81649},{1.1547,0.,0.816499,0.816512},{0.816475,0.816499,0.,1.1547},{0.81649,0.816512,1.1547,0.}}
FindEmbedding[asym,2,If[#<3,1,0]&];
Show[Last[%]];
EmbeddedMatrix[First[%182]]
{{0,1.7526,1.93203,1.18086,1.44198,1.84651,0.448956,1.44306,1.80665,0.286068,1.76141,0.0955858},{1.7526,0.,1.09482,1.74152,0.669859,0.326335,1.85516,2.08466,1.44391,1.70788,0.413631,1.83488},{1.93203,1.09482,0.,1.19063,1.63337,0.795307,1.76642,1.41039,0.463172,2.04973,1.50002,2.02751},{1.18086,1.74152,1.19063,0.,1.88376,1.61517,0.803915,0.36344,0.836458,1.42723,2.00217,1.2572},{1.44198,0.669859,1.63337,1.88376,0.,0.973417,1.69763,2.24719,1.87248,1.29847,0.389185,1.50159},{1.84651,0.326335,0.795307,1.61517,0.973417,0.,1.871,1.93464,1.18606,1.8503,0.738922,1.93581},{0.448956,1.85516,1.76642,0.803915,1.69763,1.871,0.,1.01706,1.54485,0.733528,1.95864,0.497272},{1.44306,2.08466,1.41039,0.36344,2.24719,1.93464,1.01706,0.,0.985812,1.71031,2.35969,1.50698},{1.80665,1.44391,0.463172,0.836458,1.87248,1.18606,1.54485,0.985812,0.,1.98159,1.82084,1.89851},{0.286068,1.70788,2.04973,1.42723,1.29847,1.8503,0.733528,1.71031,1.98159,0.,1.65055,0.272619},{1.76141,0.413631,1.50002,2.00217,0.389185,0.738922,1.95864,2.35969,1.82084,1.65055,0.,1.83037},{0.0955858,1.83488,2.02751,1.2572,1.50159,1.93581,0.497272,1.50698,1.89851,0.272619,1.83037,0.}}
FindEmbedding[k33,2,If[#<3,1,0]&];
Show[Last[%]];
EmbeddedMatrix[First[%%]]
{{0,1.58139,1.5812,1.78009,0.538502,1.24196},{1.58139,0.,1.58086,0.537952,1.24176,1.77987},{1.5812,1.58086,0.,1.24162,1.77994,0.538111},{1.78009,0.537952,1.24162,0.,1.58098,1.58103},{0.538502,1.24176,1.77994,1.58098,0.,1.58132},{1.24196,1.77987,0.538111,1.58103,1.58132,0.}}
FindEmbedding[k33,3,If[#<3,1,0]&];
Show[Last[%]];
EmbeddedMatrix[First[%%]]
{{0,1.61252,1.84072,1.13474,1.5127,1.47711},{1.61252,0.,1.53059,1.76433,0.938651,1.15925},{1.84072,1.53059,0.,0.982957,1.56099,1.49789},{1.13474,1.76433,0.982957,0.,1.51881,1.63379},{1.5127,0.938651,1.56099,1.51881,0.,1.83857},{1.47711,1.15925,1.49789,1.63379,1.83857,0.}}
FindEmbedding[asym12a,3,If[#<3,1,0]&];
Show[Last[%]];
EmbeddedMatrix[First[%%]]
{{0,1.33317,1.72792,0.850628,1.53257,1.84339,0.816913,1.88953,2.05101,1.44582,1.06343,1.63229},{1.33317,0.,1.53544,1.80407,1.74612,1.30321,0.904169,1.89843,1.35906,2.07832,1.15362,0.325116},{1.72792,1.53544,0.,1.36876,0.50743,1.34591,1.80801,1.86255,1.03486,1.28763,2.05813,1.52712},{0.850628,1.80407,1.36876,0.,0.965934,1.85625,1.42306,1.99175,2.03969,0.919207,1.72879,2.0222},{1.53257,1.74612,0.50743,0.965934,0.,1.50545,1.77399,1.94943,1.45494,0.99003,2.0836,1.81788},{1.84339,1.30321,1.34591,1.85625,1.50545,0.,1.34448,2.79253,1.84594,2.34064,2.2946,1.22923},{0.816913,0.904169,1.80801,1.42306,1.77399,1.34448,0.,2.31454,2.0579,2.05955,1.28226,1.16541},{1.88953,1.89843,1.86255,1.99175,1.94943,2.79253,2.31454,0.,1.37415,1.4125,1.36083,2.02886},{2.05101,1.35906,1.03486,2.03969,1.45494,1.84594,2.0579,1.37415,0.,1.72692,1.80694,1.26855},{1.44582,2.07832,1.28763,0.919207,0.99003,2.34064,2.05955,1.4125,1.72692,0.,1.83457,2.24719},{1.06343,1.15362,2.05813,1.72879,2.0836,2.2946,1.28226,1.36083,1.80694,1.83457,0.,1.4354},{1.63229,0.325116,1.52712,2.0222,1.81788,1.22923,1.16541,2.02886,1.26855,2.24719,1.4354,0.}}
FindEmbedding[tetra,3,If[#<3,1,0]&];
Show[Last[%]];