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User:Tomruen/Truncated polygons2

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General vertex-transitive truncations on regular polygons {n} up to n=20 and regular stars {p/q} up to p=16. Computed for 2n vertices are equally-spaced, but two edge lengths in general.

From convex regular polygons

t{2} = {4}

t{3} = {6}

{3}:t2 = a1{3}

t{3/2}={6/2}

t{4} = {8}

{4}:t2

t{4/3} = {8/3}

t{5} = {10}

{5}:t2

{5}:t3

t{5/4}={10/4}

t{6} = {12}

{6}:t2

{6}:t3

t{6/5} = {12/5}

t{7} = {14}

{7}:t2

{7}:t3

{7}:t4

t{7/6}={14/6}

t{8} = {16}

{8}:t2

{8}:t3

{8}:t4

t{8/7} = {16/7}

t{9} = {18}

{9}:t2

{9}:t3

{9}:t4

{9}:t5

t{9/8}={18/8}

t{10} = {20}

{10}:t2

{10}:t3

{10}:t4

{10}:t5

t{10/9} = {20/9}

t{11} = {22}

{11}:t2

{11}:t3

{11}:t4

{11}:t5

{11}:t6

t{11/10}={22/10}

t{12} = {24}

{12}:t2

{12}:t3

{12}:t4

{12}:t5

{12}:t6

t{12/11} = {24/11}

t{13} = {26}

{13}:t2

{13}:t3

{13}:t4

{13}:t5

{13}:t6

{13}:t7

t{13/12}={26/12}

t{14} = {28}

{14}:t2

{14}:t3

{14}:t4

{14}:t5

{14}:t6

{14}:t7

t{14/13} = {28/13}

t{15} = {30}

{15}:t2

{15}:t3

{15}:t4

{15}:t5

{15}:t6

{15}:t7

{15}:t8

t{15/14}={30/14}

t{16} = {32}

{16}:t2

{16}:t3

{16}:t4

{16}:t5

{16}:t6

{16}:t7

{16}:t8

t{16/15}={32/15}

t{17}={34}

{17}:t2

{17}:t3

{17}:t4

{17}:t5

{17}:t6

{17}:t7

{17}:t8

{17}:t9

t{17/16}={34/16}

t{18}={36}

{18}:t2

{18}:t3

{18}:t4

{18}:t5

{18}:t6

{18}:t7

{18}:t8

{18}:t9

t{18/17}={36/17}

t{19}={38}

{19}:t2

{19}:t3

{19}:t4

{19}:t5

{19}:t6

{19}:t7

{19}:t8

{19}:t9

{19}:t10

t{19/18}={38/18}

t{20}={40}

{20}:t2

{20}:t3

{20}:t4

{20}:t5

{20}:t6

{20}:t7

{20}:t8

{20}:t9

{20}:t10

t{20/19}={40/19}

t{21}={42}

{21}:t2

{21}:t3

{21}:t4

{21}:t5

{21}:t6

{21}:t7

{21}:t8

{21}:t9

{21}:t10

t{21/20}={42/20}

t{23}={46}

{23}:t2

{23}:t3

{23}:t4

{23}:t5

{23}:t6

{23}:t7

{23}:t8

{23}:t9

{23}:t10

{23}:t11

t{23/22}={46/22}

t{24}={48}

{24}:t2

{24}:t3

{24}:t4

{24}:t5

{24}:t6

{24}:t7

{24}:t8

{24}:t9

{24}:t10

{24}:t11

t{24/23}={48/23}

Stars

[edit]
From regular stars

t{5/2}={10/2}

{5/3}:t3

{5/3}:t2

t{5/3}={10/3}

t{7/2}={14/2}

{7/5}:t4

{7/5}:t3

{7/5}:t2

t{7/5}={14/5}

t{7/3} = {14/3}

{7/3}:t2

{7/3}:t3

{7/3}:t4

t{7/4}={14/4}

t{8/3} = {16/3}

{8/3}:t2

{8/3}:t3

{8/3}:t4

t{8/5}={16/5}

t{9/2}={18/2}

{9/7}:t5

{9/7}:t4

{9/7}:t3

{9/7}:t2

t{9/7}={18/7}

t{9/4}={18/4}

{9/5}:t5

{9/5}:t4

{9/5}:t3

{9/5}:t2

t{9/5}={18/5}

t{10/3} = {20/3}

{10/3}:t2

{10/3}:t3

{10/3}:t4

{10/3}:t5

t{10/7}={20/7}

t{11/2}={22/2}

{11/9}:t6

{11/9}:t5

{11/9}:t4

{11/9}:t3

{11/9}:t2

t{11/9}={22/9}

t{11/3} = {22/3}

{11/3}:t2

{11/3}:t3

{11/3}:t4

{11/3}:t5

{11/3}:t6

t{11/8}={22/8}

t{11/4}={22/4}

{11/7}:t6

{11/7}:t5

{11/7}:t4

{11/7}:t3

{11/7}:t2

t{11/7}={22/7}

t{11/5} = {22/5}

{11/5}:t2

{11/5}:t3

{11/5}:t4

{11/5}:t5

{11/5}:t6

t{11/6}={22/6}

t{12/5} = {24/5}

{12/5}:t2

{12/5}:t3

{12/5}:t4

{12/5}:t5

{12/5}:t6

t{12/7}={24/7}

t{13/2}={26/2}

{13/11}:t7

{13/11}:t6

{13/11}:t5

{13/11}:t4

{13/11}:t3

{13/11}:t2

t{13/11}={26/11}

t{13/3} = {26/3}

{13/3}:t2

{13/3}:t3

{13/3}:t4

{13/3}:t5

{13/3}:t6

{13/3}:t7

t{13/10}={26/10}

t{13/4}={26/4}

{13/9}:t7

{13/9}:t6

{13/9}:t5

{13/9}:t4

{13/9}:t3

{13/9}:t2

t{13/9}={26/9}

t{13/5} = {26/5}

{13/5}:t2

{13/5}:t3

{13/5}:t4

{13/5}:t5

{13/5}:t6

{13/5}:t7

t{13/8}={26/8}

t{13/6}={26/6}

{13/7}:t7

{13/7}:t6

{13/7}:t5

{13/7}:t4

{13/7}:t3

{13/7}:t2

t{13/7}={26/7}

t{14/3} = {28/3}

{14/3}:t2

{14/3}:t3

{14/3}:t4

{14/3}:t5

{14/3}:t6

{14/3}:t7

t{14/11}={28/11}

t{14/5} = {28/5}

{14/5}:t2

{14/5}:t3

{14/5}:t4

{14/5}:t5

{14/5}:t6

{14/5}:t7

t{14/9}={28/9}

t{14/9}={28/9}

t{15/2}={30/2}

{15/13}:t8

{15/13}:t7

{15/13}:t6

{15/13}:t5

{15/13}:t4

{15/13}:t3

{15/13}:t2

t{15/13}={30/13}

t{15/7} = {30/7}

{15/7}:t2

{15/7}:t3

{15/7}:t4

{15/7}:t5

{15/7}:t6

{15/7}:t7

{15/7}:t8

t{15/8}={30/8}

t{15/11}={30/22}

{15/11}:t2

{15/11}:t3

{15/11}:t4

{15/11}:t5

{15/11}:t6

{15/11}:t7

{15/11}:t8

t{15/4}={30/4}

t{16/3} = {32/3}

{16/3}:t2

{16/3}:t3

{16/3}:t4

{16/3}:t5

{16/3}:t6

{16/3}:t7

{16/3}:t8

t{16/13}={32/13}

t{16/5} = {32/5}

{16/5}:t2

{16/5}:t3

{16/5}:t4

{16/5}:t5

{16/5}:t6

{16/5}:t7

{16/5}:t8

t{16/11}={32/11}

t{16/7} = {32/7}

{16/7}:t2

{16/7}:t3

{16/7}:t4

{16/7}:t5

{16/7}:t6

{16/7}:t7

{16/7}:t8

t{16/9}={32/9}

t{17/3} = {34/3}

{17/3}:t2

{17/3}:t3

{17/3}:t4

{17/3}:t5

{17/3}:t6

{17/3}:t7

{17/3}:t8

t{17/3}={34/3}

t{17/5} = {34/5}

{17/5}:t2

{17/5}:t3

{17/5}:t4

{17/5}:t5

{17/5}:t6

{17/5}:t7

{17/5}:t8

t{17/5}={34/5}

t{17/7} = {34/7}

{17/7}:t2

{17/7}:t3

{17/7}:t4

{17/7}:t5

{17/7}:t6

{17/7}:t7

{17/7}:t8

t{17/7}={34/7}

t{17/9} = {34/9}

{17/9}:t2

{17/9}:t3

{17/9}:t4

{17/9}:t5

{17/9}:t6

{17/9}:t7

{17/9}:t8

t{17/9}={34/9}

t{18/5} = {36/5}

{18/5}:t2

{18/5}:t3

{18/5}:t4

{18/5}:t5

{18/5}:t6

{18/5}:t7

{18/5}:t8

t{18/5}={36/5}

t{18/7} = {36/7}

{18/7}:t2

{18/7}:t3

{18/7}:t4

{18/7}:t5

{18/7}:t6

{18/7}:t7

{18/7}:t8

t{18/7}={36/7}

t{19/3} = {38/3}

{19/3}:t2

{19/3}:t3

{19/3}:t4

{19/3}:t5

{19/3}:t6

{19/3}:t7

{19/3}:t8

{19/3}:t9

t{19/3}={38/3}



t{19/5} = {38/5}

{19/5}:t2

{19/5}:t3

{19/5}:t4

{19/5}:t5

{19/5}:t6

{19/5}:t7

{19/5}:t8

{19/5}:t9

t{19/5}={38/5}

t{19/7} = {38/7}

{19/7}:t2

{19/7}:t3

{19/7}:t4

{19/7}:t5

{19/7}:t6

{19/7}:t7

{19/7}:t8

{19/7}:t9

t{19/7}={38/7}

t{19/9} = {38/9}

{19/9}:t2

{19/9}:t3

{19/9}:t4

{19/9}:t5

{19/9}:t6

{19/9}:t7

{19/9}:t8

{19/10}:t9

t{19/9}={38/9}

t{19/11} = {38/11}

{19/11}:t2

{19/11}:t3

{19/11}:t4

{19/11}:t5

{19/11}:t6

{19/11}:t7

{19/11}:t8

{19/11}:t9

t{19/11}={38/11}

t{19/13} = {38/13}

{19/13}:t2

{19/13}:t3

{19/13}:t4

{19/13}:t5

{19/13}:t6

{19/13}:t7

{19/13}:t8

{19/13}:t9

t{19/13}={38/13}

t{19/15} = {38/15}

{19/15}:t2

{19/15}:t3

{19/15}:t4

{19/15}:t5

{19/15}:t6

{19/15}:t7

{19/15}:t8

{19/15}:t9

t{19/15}={38/15}

t{19/17} = {38/17}

{19/17}:t2

{19/17}:t3

{19/17}:t4

{19/17}:t5

{19/17}:t6

{19/17}:t7

{19/17}:t8

{19/17}:t9

t{19/17}={38/17}

t{20/3} = {40/3}

{20/3}:t2

{20/3}:t3

{20/3}:t4

{20/3}:t5

{20/3}:t6

{20/3}:t7

{20/3}:t8

{20/3}:t9

{20/3}:t10

t{20/3}={40/3}

t{20/7} = {40/7}

{20/7}:t2

{20/7}:t3

{20/7}:t4

{20/7}:t5

{20/7}:t6

{20/7}:t7

{20/7}:t8

{20/7}:t9

{20/7}:t10

t{20/7}={40/7}

truncated stars

[edit]
Regular star shallow truncations
{5/2} {7/3} {7/2} {8/3} {9/4} {9/2} {10/3}
{11/3} {11/5} {11/4} {11/2} {12/5}
Regular star shallow truncations
{13/3} {13/5} {13/7} {13/9} {13/11}
Regular star shallow truncations
{14/3} {14/5} {15/7} {15/11} {15/13} {16/3} {16/5} {16/7}
Regular star shallow truncations