Talk:Star polygon/Gallery

Gallery

Regular star polygon graphs

I generated SVG images for all regular star polygons up to 50 sides, specifically {p/q}, q<p/2 and gcd(p,q)=1. It's VERY long for the article, so I put them here for reference. I copied ones up to 20 at List_of_regular_polytopes#Stars. Tom Ruen (talk) 09:35, 22 January 2015 (UTC)

{5/2}

{7/2}

{7/3}

{8/3}

{9/2}

{9/4}

{10/3}

{11/2}

{11/3}

{11/4}

{11/5}

{12/5}

{13/2}

{13/3}

{13/4}

{13/5}

{13/6}

{14/3}

{14/5}

{15/2}

{15/4}

{15/7}

{16/3}

{16/5}

{16/7}

{17/2}

{17/3}

{17/4}

{17/5}

{17/6}

{17/7}

{17/8}

{18/5}

{18/7}

{19/2}

{19/3}

{19/4}

{19/5}

{19/6}

{19/7}

{19/8}

{19/9}

{20/3}

{20/7}

{20/9}

{21/2}

{21/4}

{21/5}

{21/8}

{21/10}

{22/3}

{22/5}

{22/7}

{22/9}

{23/2}

{23/3}

{23/4}

{23/5}

{23/6}

{23/7}

{23/8}

{23/9}

{23/10}

{23/11}

{24/5}

{24/7}

{24/11}

{25/2}

{25/3}

{25/4}

{25/6}

{25/7}

{25/8}

{25/9}

{25/11}

{25/12}

{26/3}

{26/5}

{26/7}

{26/9}

{26/11}

{27/2}

{27/4}

{27/5}

{27/7}

{27/8}

{27/10}

{27/11}

{27/13}

{28/3}

{28/5}

{28/9}

{28/11}

{28/13}

{29/2}

{29/3}

{29/4}

{29/5}

{29/6}

{29/7}

{29/8}

{29/9}

{29/10}

{29/11}

{29/12}

{29/13}

{29/14}

{30/7}

{30/11}

{30/13}

{31/2}

{31/3}

{31/4}

{31/5}

{31/6}

{31/7}

{31/8}

{31/9}

{31/10}

{31/11}

{31/12}

{31/13}

{31/14}

{31/15}

{32/3}

{32/5}

{32/7}

{32/9}

{32/11}

{32/13}

{32/15}

{33/2}

{34/3}

{34/5}

{34/7}

{34/9}

{34/11}

{34/13}

{34/15}

{35/2}

{36/5}

{37/2}

{38/11}

{39/2}

{40/3}

{40/7}

{40/9}

{40/11}

{40/13}

{40/17}

{40/19}

{41/2}

{42/5}

{42/11}

{42/13}

{42/17}

{42/19}

{43/2}

{44/2}

{46/3}

{47/2}

{48/5}

{48/7}

{48/11}

{48/13}

{48/17}

{48/19}

{48/23}

{49/2}

{50/3}

{50/7}

{50/9}

{50/11}

{50/13}

{50/17}

{50/23}

{50/19}

{50/21}

{60/7}

{60/11}

{60/13}

{60/17}

{60/19}

{60/23}

{60/29}

{64/3}

{64/5}

{64/7}

{64/9}

{64/11}

{64/13}

{64/15}

{64/17}

{64/19}

{64/21}

{64/23}

{64/25}

{64/27}

{64/29}

{64/31}

{70/3}

{70/9}

{70/11}

{70/13}

{70/17}

{70/19}

{70/23}

{70/27}

{70/29}

{70/31}

{70/33}

{80/7}

{80/9}

{80/3}

{80/19}

{80/13}

{80/11}

{80/17}

{80/27}

{80/23}

{80/29}

{80/31}

{80/21}

{80/39}

{80/37}

{80/33}

{90/7}

{90/11}

{90/13}

{90/17}

{90/23}

{90/19}

{90/31}

{90/29}

{90/43}

{90/37}

{90/41}

{96/5}

{96/7}

{96/11}

{96/13}

{96/17}

{96/19}

{96/23}

{96/25}

{96/29}

{96/31}

{96/35}

{96/37}

{96/41}

{96/43}

{96/47}

{100/3}

{100/9}

{100/7}

{100/11}

{100/13}

{100/21}

{100/19}

{100/17}

{100/27}

{100/31}

{100/29}

{100/23}

{100/41}

{100/33}

{100/37}

{100/39}

{100/43}

{100/47}

{100/49}

Regular star figures graphs

Here's some star figures (compounds) too, n{p/q} with p=2..16, q=1..p/2, and n*p<32. I colored the edges, but looks like yellow was a poor color choice. Tom Ruen (talk) 10:52, 22 January 2015 (UTC) Digon compounds added in first row. Tom Ruen (talk) 18:56, 31 January 2015 (UTC)

2{2}	3{2}	4{2}	5{2}	6{2}	7{2}	8{2}	9{2}	10{2}
2{3}	3{3}	4{3}	5{3}	6{3}	7{3}	8{3}	9{3}	10{3}
2{4}	3{4}	4{4}	5{4}	6{4}	7{4}
2{5}	3{5}	4{5}	5{5}	6{5}	2{5/2}	3{5/2}	4{5/2}	5{5/2}	6{5/2}
2{6}	3{6}	4{6}	5{6}
2{7}	3{7}	4{7}	2{7/2}	3{7/2}	4{7/2}	2{7/3}	3{7/3}	4{7/3}
2{8}	3{8}	2{8/3}	3{8/3}	2{9}	3{9}	2{9/2}	3{9/2}	2{9/4}	3{9/4}
2{10}	3{10}	2{10/3}	3{10/3}	2{11}	2{11/2}	2{11/3}	2{11/4}	2{11/5}
2{12}	2{12/5}	2{13}	2{13/2}	2{13/3}	2{13/4}	2{13/5}	2{13/6}
2{14}	2{14/3}	2{14/5}	2{15}	2{15/2}	2{15/4}	2{15/7}	6{7/2}	20{5/2}

Isogonal stars

These star polygons are isogonal (vertex-transitive), all solutions for equal-spaced vertices, p=3..16. They have two edge lengths in general, while some have equal edge lengths and are also regular: t{p/q}={2p/q} for odd(q), and t{p/(2p-q)}={2p/(2p-q)} for odd(2p-q). Tom Ruen (talk) 04:01, 29 January 2015 (UTC)

Isogonal star polygons as truncations of regular convex polygons

{3}:t2
{4}:t2	{4}:t3 t{4/3}={8/3}
{5}:t2	{5}:t3
{6}:t2	{6}:t3	{6}:t4 t{6/5}={12/5}
{7}:t2	{7}:t3	{7}:t4
{8}:t2	{8}:t3	{8}:t4	{8}:t5 t{8/7}={16/7}
{9}:t2	{9}:t3	{9}:t4	{9}:t5
{10}:t2	{10}:t3	{10}:t4	{10}:t5	{10}:t6 t{10/9}={20/9}
{11}:t2	{11}:t3	{11}:t4	{11}:t5	{11}:t6
{12}:t2	{12}:t3	{12}:t4	{12}:t5	{12}:t6	{12}:t7 t{12/11}={24/11}
{13}:t2	{13}:t3	{13}:t4	{13}:t5	{13}:t6	{13}:t7
{14}:t2	{14}:t3	{14}:t4	{14}:t5	{14}:t6	{14}:t7	{14}:t8 t{14/13}={28/13}
{15}:t2	{15}:t3	{15}:t4	{15}:t5	{15}:t6	{15}:t7	{15}:t8
{16}:t2	{16}:t3	{16}:t4	{16}:t5	{16}:t6	{16}:t7	{16}:t8	{16}:t9 t{16/15}={32/15}

Isogonal star polygons as truncations of star polygons

t{5/3}={10/3}	{5/3}:t2	{5/3}:t3
t{7/3}={14/3}	{7/3}:t2	{7/3}:t3	{7/3}:t4
t{7/5}={14/5}	{7/5}:t2	{7/5}:t3	{7/5}:t4
t{8/3}={16/3}	{8/3}:t2	{8/3}:t3	{8/3}:t4	{8/3}:t5 t{8/5}={16/5}
t{9/5}={18/5}	{9/5}:t2	{9/5}:t3	{9/5}:t4	{9/5}:t5
t{9/7}={18/7}	{9/7}:t2	{9/7}:t3	{9/7}:t4	{9/7}:t5
t{10/3}={20/3}	{10/3}:t2	{10/3}:t3	{10/3}:t4	{10/3}:t5	{10/3}:t6 t{10/7}={20/7}
t{11/3}={22/3}	{11/3}:t2	{11/3}:t3	{11/3}:t4	{11/3}:t5	{11/3}:t6
t{11/5}={22/5}	{11/5}:t2	{11/5}:t3	{11/5}:t4	{11/5}:t5	{11/5}:t6
t{11/7}={22/7}	{11/7}:t2	{11/7}:t3	{11/7}:t4	{11/7}:t5	{11/7}:t6
t{11/9}={22/9}	{11/9}:t2	{11/9}:t3	{11/9}:t4	{11/9}:t5	{11/9}:t6
t{12/5}={24/5}	{12/5}:t2	{12/5}:t3	{12/5}:t4	{12/5}:t5	{12/5}:t6	{12/5}:t7 t{12/7}={24/7}
t{13/3}={26/3}	{13/3}:t2	{13/3}:t3	{13/3}:t4	{13/3}:t5	{13/3}:t6	{13/3}:t7
t{13/5}={26/5}	{13/5}:t2	{13/5}:t3	{13/5}:t4	{13/5}:t5	{13/5}:t6	{13/5}:t7
t{13/7}={26/7}	{13/7}:t2	{13/7}:t3	{13/7}:t4	{13/7}:t5	{13/7}:t6	{13/7}:t7
t{13/9}={26/9}	{13/9}:t2	{13/9}:t3	{13/9}:t4	{13/9}:t5	{13/9}:t6	{13/9}:t7
t{13/11}={26/11}	{13/11}:t2	{13/11}:t3	{13/11}:t4	{13/11}:t5	{13/11}:t6	{13/11}:t7
t{14/3}={28/3}	{14/3}:t2	{14/3}:t3	{14/3}:t4	{14/3}:t5	{14/3}:t6	{14/3}:t7	{14/3}:t8 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	{14/5}:t8 t{14/9}={28/9}
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{15/11}={30/22}	{15/11}:t2	{15/11}:t3	{15/11}:t4	{15/11}:t5	{15/11}:t6	{15/11}:t7	{15/11}:t8
t{15/13}={30/13}	{15/13}:t2	{15/13}:t3	{15/13}:t4	{15/13}:t5	{15/13}:t6	{15/13}:t7	{15/13}:t8
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	{16/3}:t9 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	{16/5}:t9 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	{16/7}:t9 t{16/9}={32/9}