■置換多面体の空間充填性(その174)

 {3,4}とF4の場合も,入れ子構想をを考えて

  ([m],0)→m・1+m=2m

  ([m],1)→m・1+1=m+1

のような考えもあると思う.

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  {3,4}(1,0,0): 4 (OK)

  {3,4,3}(1,0,0,0): 8

  {3,4,3}(1,0,0,1): 8 (OK)

  {3,4}(0,1,0): 4 (OK)

  {3,4,3}(0,1,0,0): 6 (OK)

  {3,4,3}(0,1,0,1): 6 (OK)

  {3,4}(0,0,1): 3 (OK)

  {3,4,3}(0,0,1,0): 6 (OK)

  {3,4,3}(0,0,1,1): 4 (OK)

  {3,4}(1,1,0): 3 (OK)

  {3,4,3}(1,1,0,0): 4 (OK)

  {3,4,3}(1,1,0,1): 5 (OK)

  {3,4}(1,0,1): 4 (OK)

  {3,4,3}(1,0,1,0): 6 (OK)

  {3,4,3}(1,0,1,1): 5 (OK)

  {3,4}(0,1,1): 3 (OK)

  {3,4,3}(0,1,1,0): 4

  {3,4,3}(0,1,1,1): 4 (OK)

  {3,4}(1,1,1): 3 (OK)

  {3,4,3}(1,1,1,0): 4 (OK)

  {3,4,3}(1,1,1,1): 4 (OK)

やはりだめであった.

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