How to create a list of six unit vectors in 3D?

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I want to have a list 1,0,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,0,-1. How to generate it smartly?










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    up vote
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    favorite












    I want to have a list 1,0,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,0,-1. How to generate it smartly?










    share|improve this question























      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      I want to have a list 1,0,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,0,-1. How to generate it smartly?










      share|improve this question













      I want to have a list 1,0,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,0,-1. How to generate it smartly?







      list-manipulation






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      asked Nov 30 at 15:10









      Artificial Stupidity

      21219




      21219




















          3 Answers
          3






          active

          oldest

          votes

















          up vote
          5
          down vote



          accepted










          Perhaps this



          Join[IdentityMatrix[3], -IdentityMatrix[3]]
          (* 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1 *)





          share|improve this answer




















          • +1: Good one! Thanks!
            – Artificial Stupidity
            Nov 30 at 15:23






          • 1




            I like the variant Join[#, -#] &@IdentityMatrix[3]
            – mikado
            Nov 30 at 16:53






          • 1




            @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
            – Michael E2
            Nov 30 at 17:04

















          up vote
          2
          down vote













          Join@@(Permutations[#]&/@#,-#&@1,0,0) 



          1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1







          share|improve this answer



























            up vote
            1
            down vote













            UnitVector:



            Join[#, -#] &@(UnitVector[3, #] & /@ Range[3])



            1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1






            share|improve this answer




















              Your Answer





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              3 Answers
              3






              active

              oldest

              votes








              3 Answers
              3






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes








              up vote
              5
              down vote



              accepted










              Perhaps this



              Join[IdentityMatrix[3], -IdentityMatrix[3]]
              (* 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1 *)





              share|improve this answer




















              • +1: Good one! Thanks!
                – Artificial Stupidity
                Nov 30 at 15:23






              • 1




                I like the variant Join[#, -#] &@IdentityMatrix[3]
                – mikado
                Nov 30 at 16:53






              • 1




                @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
                – Michael E2
                Nov 30 at 17:04














              up vote
              5
              down vote



              accepted










              Perhaps this



              Join[IdentityMatrix[3], -IdentityMatrix[3]]
              (* 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1 *)





              share|improve this answer




















              • +1: Good one! Thanks!
                – Artificial Stupidity
                Nov 30 at 15:23






              • 1




                I like the variant Join[#, -#] &@IdentityMatrix[3]
                – mikado
                Nov 30 at 16:53






              • 1




                @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
                – Michael E2
                Nov 30 at 17:04












              up vote
              5
              down vote



              accepted







              up vote
              5
              down vote



              accepted






              Perhaps this



              Join[IdentityMatrix[3], -IdentityMatrix[3]]
              (* 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1 *)





              share|improve this answer












              Perhaps this



              Join[IdentityMatrix[3], -IdentityMatrix[3]]
              (* 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1 *)






              share|improve this answer












              share|improve this answer



              share|improve this answer










              answered Nov 30 at 15:22









              Michael E2

              144k11193463




              144k11193463











              • +1: Good one! Thanks!
                – Artificial Stupidity
                Nov 30 at 15:23






              • 1




                I like the variant Join[#, -#] &@IdentityMatrix[3]
                – mikado
                Nov 30 at 16:53






              • 1




                @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
                – Michael E2
                Nov 30 at 17:04
















              • +1: Good one! Thanks!
                – Artificial Stupidity
                Nov 30 at 15:23






              • 1




                I like the variant Join[#, -#] &@IdentityMatrix[3]
                – mikado
                Nov 30 at 16:53






              • 1




                @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
                – Michael E2
                Nov 30 at 17:04















              +1: Good one! Thanks!
              – Artificial Stupidity
              Nov 30 at 15:23




              +1: Good one! Thanks!
              – Artificial Stupidity
              Nov 30 at 15:23




              1




              1




              I like the variant Join[#, -#] &@IdentityMatrix[3]
              – mikado
              Nov 30 at 16:53




              I like the variant Join[#, -#] &@IdentityMatrix[3]
              – mikado
              Nov 30 at 16:53




              1




              1




              @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
              – Michael E2
              Nov 30 at 17:04




              @mikado Yeah, I thought of that, but too much top-row-shift typing for my podgy fingers compared to I-d--<kbd>return</kbd>... :)
              – Michael E2
              Nov 30 at 17:04










              up vote
              2
              down vote













              Join@@(Permutations[#]&/@#,-#&@1,0,0) 



              1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1







              share|improve this answer
























                up vote
                2
                down vote













                Join@@(Permutations[#]&/@#,-#&@1,0,0) 



                1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1







                share|improve this answer






















                  up vote
                  2
                  down vote










                  up vote
                  2
                  down vote









                  Join@@(Permutations[#]&/@#,-#&@1,0,0) 



                  1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1







                  share|improve this answer












                  Join@@(Permutations[#]&/@#,-#&@1,0,0) 



                  1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1








                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered Nov 30 at 15:23









                  J42161217

                  3,682220




                  3,682220




















                      up vote
                      1
                      down vote













                      UnitVector:



                      Join[#, -#] &@(UnitVector[3, #] & /@ Range[3])



                      1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1






                      share|improve this answer
























                        up vote
                        1
                        down vote













                        UnitVector:



                        Join[#, -#] &@(UnitVector[3, #] & /@ Range[3])



                        1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1






                        share|improve this answer






















                          up vote
                          1
                          down vote










                          up vote
                          1
                          down vote









                          UnitVector:



                          Join[#, -#] &@(UnitVector[3, #] & /@ Range[3])



                          1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1






                          share|improve this answer












                          UnitVector:



                          Join[#, -#] &@(UnitVector[3, #] & /@ Range[3])



                          1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered Dec 1 at 11:31









                          Αλέξανδρος Ζεγγ

                          3,7301927




                          3,7301927



























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