■置換多面体の空間充填性(その463)

 4次元正単体の続きである.

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[11]{3,3}(1110)

  {3,3}(110)→(12,18,8,1),5個

  {}(10)×{}(1)→(3,3,1,0),10個

  {}(0)×{3}(11)→(1000),10個

  {3,3}(111)→(1000),5個

60

90,30

40,30,10

5,10,0,5

 1列目:正三角形20,正六角形20

 2列目:正方形30

 3列目:正六角形10

 1列目:{33}(110)5

 2列目:三角柱10

 4列目:{33}(111)5

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

[12]{3,3}(1101)

  {3,3}(101)→(12,24,14,1),5個

  {}(01)×{}(1)→(3,3,1,0),10個

  {}(1)×{3}(11)→(2100),10個

  {3,3}(110)→(1000),5個

60

120,30

70,30,20

5,10,10,5

 1列目:正三角形40,正方形30

 2列目:正方形30

 3列目:正六角形20

 1列目:{33}(101)5

 2列目:三角柱10

 3列目:六角柱10

 4列目:{33}(110)5

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

[13]{3,3}(1011)

  {3,3}(011)→(12,18,8,1),5個

  {}(11)×{}(1)→(6,6,1,0),10個

  {}(1)×{3}(10)→(2100),10個

  {3,3}(101)→(1000),5個

60

90,60

40,60,20

5,10,10,5

 1列目:正三角形20,正六角形20

 2列目:正方形60

 3列目:正三角形20

 1列目:{33}(011)5

 2列目:六角柱10

 3列目:三角柱10

 4列目:{33}(101)5→[12]と一致

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

[14]{3,3}(0111)

  {3,3}(111)→(24,36,14,1),5個

  {}(11)×{}(0)→(6,6,1,0),10個

  {}(1)×{3}(01)→(2100),10個

  {3,3}(011)→(1000),5個

120,−60

180,−60

70,−10,20

5,0,10,5

 1列目:正方形30,正六角形40

 2列目:正六角形−10

 3列目:正三角形20

 1列目:{33}(111)5

 2列目:六角柱10

 3列目:三角柱10

 4列目:{33}(011)5→[11]と一致

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

[15]{3,3}(1111)

  {3,3}(111)→(24,36,14,1),5個

  {}(11)×{}(1)→(6,6,1,0),10個

  {}(1)×{3}(11)→(2100),10個

  {3,3}(111)→(1000),5個

120

180,60

70,60,20

5,10,10,5

 1列目:正方形30,正六角形40

 2列目:正方形60

 3列目:正六角形20

 1列目:{33}(111)5

 2列目:六角柱10

 3列目:六角柱10

 4列目:{33}(111)5

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