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

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)

class=wikitable

align=center

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{5/2}

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{7/2}

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{7/3}

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{10/3}

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{11/3}

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{12/5}

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{13/3}

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{13/4}

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{13/5}

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{14/5}

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align=center

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= 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)

class=wikitable

align=center

|80px
2{2}

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3{2}

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4{2}

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5{2}

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align=center

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2{3}

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align=center

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2{4}

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7{4}

align=center

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2{5}

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3{5}

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4{5}

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5{5}

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6{5}

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2{5/2}

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3{5/2}

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5{5/2}

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6{5/2}

align=center

|80px
2{6}

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3{6}

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4{6}

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5{6}

align=center

|80px
2{7}

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3{7}

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4{7}

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2{7/2}

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3{7/2}

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2{7/3}

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3{7/3}

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4{7/3}

align=center

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2{8}

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3{8}

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2{8/3}

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3{8/3}

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2{9}

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3{9}

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2{9/2}

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3{9/4}

align=center

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2{10}

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3{10}

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2{10/3}

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3{10/3}

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2{11}

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2{11/2}

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2{11/5}

align=center

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2{12}

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2{13}

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2{13/2}

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2{13/3}

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2{13/4}

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2{13/6}

align=center

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2{14}

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2{14/3}

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2{14/5}

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2{15}

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2{15/2}

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2{15/4}

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2{15/7}

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6{7/2}

|80px
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)

class=wikitable

|+ Isogonal star polygons as truncations of regular convex polygons

align=center

|80px
{3}:t2

align=center

|80px
{4}:t2

|BGCOLOR="#e0e0ff"|80px
{4}:t3
t{4/3}={8/3}

align=center

|80px
{5}:t2

|80px
{5}:t3

align=center

|80px
{6}:t2

|80px
{6}:t3

|BGCOLOR="#e0e0ff"|80px
{6}:t4
t{6/5}={12/5}

align=center

|80px
{7}:t2

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{7}:t3

|80px
{7}:t4

align=center

|80px
{8}:t2

|80px
{8}:t3

|80px
{8}:t4

|BGCOLOR="#e0e0ff"|80px
{8}:t5
t{8/7}={16/7}

align=center

|80px
{9}:t2

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{9}:t3

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{9}:t4

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{9}:t5

align=center

|80px
{10}:t2

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{10}:t3

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{10}:t4

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{10}:t5

|BGCOLOR="#e0e0ff"|80px
{10}:t6
t{10/9}={20/9}

align=center

|80px
{11}:t2

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{11}:t3

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{11}:t4

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{11}:t5

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{11}:t6

align=center

|80px
{12}:t2

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{12}:t3

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{12}:t4

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{12}:t5

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{12}:t6

|BGCOLOR="#e0e0ff"|80px
{12}:t7
t{12/11}={24/11}

align=center

|80px
{13}:t2

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{13}:t3

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{13}:t4

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{13}:t5

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{13}:t6

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{13}:t7

align=center

|80px
{14}:t2

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{14}:t3

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{14}:t4

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{14}:t5

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{14}:t6

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{14}:t7

|BGCOLOR="#e0e0ff"|80px
{14}:t8
t{14/13}={28/13}

align=center

|80px
{15}:t2

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{15}:t3

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{15}:t4

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{15}:t5

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{15}:t6

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{15}:t8

align=center

|80px
{16}:t2

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{16}:t5

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{16}:t6

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{16}:t7

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{16}:t8

|BGCOLOR="#e0e0ff"|80px
{16}:t9
t{16/15}={32/15}

class=wikitable

|+ Isogonal star polygons as truncations of star polygons

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{5/3}={10/3}

|80px
{5/3}:t2

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{5/3}:t3

align=center

|BGCOLOR="#e0e0ff"|80px
t{7/3}={14/3}

|80px
{7/3}:t2

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{7/3}:t3

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{7/3}:t4

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{7/5}={14/5}

|80px
{7/5}:t2

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{7/5}:t3

|80px
{7/5}:t4

align=center

|BGCOLOR="#e0e0ff"|80px
t{8/3}={16/3}

|80px
{8/3}:t2

|80px
{8/3}:t3

|80px
{8/3}:t4

|BGCOLOR="#e0e0ff"|80px
{8/3}:t5
t{8/5}={16/5}

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{9/5}={18/5}

|80px
{9/5}:t2

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{9/5}:t3

|80px
{9/5}:t4

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{9/5}:t5

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{9/7}={18/7}

|80px
{9/7}:t2

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{9/7}:t3

|80px
{9/7}:t4

|80px
{9/7}:t5

align=center

|BGCOLOR="#e0e0ff"|80px
t{10/3}={20/3}

|80px
{10/3}:t2

|80px
{10/3}:t3

|80px
{10/3}:t4

|80px
{10/3}:t5

|BGCOLOR="#e0e0ff"|80px
{10/3}:t6
t{10/7}={20/7}

align=center

|BGCOLOR="#e0e0ff"|80px
t{11/3}={22/3}

|80px
{11/3}:t2

|80px
{11/3}:t3

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{11/3}:t4

|80px
{11/3}:t5

|80px
{11/3}:t6

align=center

|BGCOLOR="#e0e0ff"|80px
t{11/5}={22/5}

|80px
{11/5}:t2

|80px
{11/5}:t3

|80px
{11/5}:t4

|80px
{11/5}:t5

|80px
{11/5}:t6

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{11/7}={22/7}

|80px
{11/7}:t2

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{11/7}:t3

|80px
{11/7}:t4

|80px
{11/7}:t5

|80px
{11/7}:t6

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{11/9}={22/9}

|80px
{11/9}:t2

|80px
{11/9}:t3

|80px
{11/9}:t4

|80px
{11/9}:t5

|80px
{11/9}:t6

align=center

|BGCOLOR="#e0e0ff"|80px
t{12/5}={24/5}

|80px
{12/5}:t2

|80px
{12/5}:t3

|80px
{12/5}:t4

|80px
{12/5}:t5

|80px
{12/5}:t6

|BGCOLOR="#e0e0ff"|80px
{12/5}:t7
t{12/7}={24/7}

align=center

|BGCOLOR="#e0e0ff"|80px
t{13/3}={26/3}

|80px
{13/3}:t2

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{13/3}:t3

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{13/3}:t4

|80px
{13/3}:t5

|80px
{13/3}:t6

|80px
{13/3}:t7

align=center

|BGCOLOR="#e0e0ff"|80px
t{13/5}={26/5}

|80px
{13/5}:t2

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{13/5}:t3

|80px
{13/5}:t4

|80px
{13/5}:t5

|80px
{13/5}:t6

|80px
{13/5}:t7

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{13/7}={26/7}

|80px
{13/7}:t2

|80px
{13/7}:t3

|80px
{13/7}:t4

|80px
{13/7}:t5

|80px
{13/7}:t6

|80px
{13/7}:t7

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{13/9}={26/9}

|80px
{13/9}:t2

|80px
{13/9}:t3

|80px
{13/9}:t4

|80px
{13/9}:t5

|80px
{13/9}:t6

|80px
{13/9}:t7

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{13/11}={26/11}

|80px
{13/11}:t2

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{13/11}:t3

|80px
{13/11}:t4

|80px
{13/11}:t5

|80px
{13/11}:t6

|80px
{13/11}:t7

align=center

|BGCOLOR="#e0e0ff"|80px
t{14/3}={28/3}

|80px
{14/3}:t2

|80px
{14/3}:t3

|80px
{14/3}:t4

|80px
{14/3}:t5

|80px
{14/3}:t6

|80px
{14/3}:t7

|BGCOLOR="#e0e0ff"|80px
{14/3}:t8
t{14/11}={28/11}

align=center

|BGCOLOR="#e0e0ff"|80px
t{14/5}={28/5}

|80px
{14/5}:t2

|80px
{14/5}:t3

|80px
{14/5}:t4

|80px
{14/5}:t5

|80px
{14/5}:t6

|80px
{14/5}:t7

|BGCOLOR="#e0e0ff"|80px
{14/5}:t8
t{14/9}={28/9}

align=center

|BGCOLOR="#e0e0ff"|80px
t{15/7}={30/7}

|80px
{15/7}:t2

|80px
{15/7}:t3

|80px
{15/7}:t4

|80px
{15/7}:t5

|80px
{15/7}:t6

|80px
{15/7}:t7

|80px
{15/7}:t8

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{15/11}={30/22}

|80px
{15/11}:t2

|80px
{15/11}:t3

|80px
{15/11}:t4

|80px
{15/11}:t5

|80px
{15/11}:t6

|80px
{15/11}:t7

|80px
{15/11}:t8

align=center valign=top

|BGCOLOR="#ffe0e0"|80px
t{15/13}={30/13}

|80px
{15/13}:t2

|80px
{15/13}:t3

|80px
{15/13}:t4

|80px
{15/13}:t5

|80px
{15/13}:t6

|80px
{15/13}:t7

|80px
{15/13}:t8

align=center

|BGCOLOR="#e0e0ff"|80px
t{16/3}={32/3}

|80px
{16/3}:t2

|80px
{16/3}:t3

|80px
{16/3}:t4

|80px
{16/3}:t5

|80px
{16/3}:t6

|80px
{16/3}:t7

|80px
{16/3}:t8

|BGCOLOR="#e0e0ff"|80px
{16/3}:t9
t{16/13}={32/13}

align=center

|BGCOLOR="#e0e0ff"|80px
t{16/5}={32/5}

|80px
{16/5}:t2

|80px
{16/5}:t3

|80px
{16/5}:t4

|80px
{16/5}:t5

|80px
{16/5}:t6

|80px
{16/5}:t7

|80px
{16/5}:t8

|BGCOLOR="#e0e0ff"|80px
{16/5}:t9
t{16/11}={32/11}

align=center

|BGCOLOR="#e0e0ff"|80px
t{16/7}={32/7}

|80px
{16/7}:t2

|80px
{16/7}:t3

|80px
{16/7}:t4

|80px
{16/7}:t5

|80px
{16/7}:t6

|80px
{16/7}:t7

|80px
{16/7}:t8

|BGCOLOR="#e0e0ff"|80px
{16/7}:t9
t{16/9}={32/9}