Wikipedia

User:Tomruen/Truncated polygons2

< User:Tomruen

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
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