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Preview scale: 21.0 x 18.0 inches. Show Rulers
<a href='http://www.spoonflower.com/fabric/1015894-s43-cv1-stars-1-by-sef' title = 'S43 CV1 stars 1 by sef on Spoonflower - custom fabric'><img src='http://s3.amazonaws.com/spoonflower/public/design_thumbnails/0101/5894/rrrrrCV1-600-0K-1W_shop_preview.png' alt='S43 CV1 stars 1'/></a>
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Collection: S43 + S44
maths, science and music specialist
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Perfect 5 point stars on the S43433 grid.
Perfect 5 point stars on the S43433 grid. Symmetry: tetrad and diad axes, vertical and horizontal glide reflections and diagonal mirror reflections. Currently displaying a version in white on black. Other colours, stylings, sizes and orientations are available on request and you can even ask for a combination of several designs together.
• colour-coordinating designs
• a triad version of the design
• more square semi-regular grid designs
• design index
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How about <a href="http://www.spoonflower.com/fabric/1056613">this variant</a>, weavingmajor, using counter-changed triangles along the mirrors to break up the void areas instead. You lose some symmetry but gain the black-white colour swap within the same print.
Posted over 4 years ago.
But actually very, very simple (apart from the advanced mathematics!).
Very, very striking design Sef
Your daughter probably has something more like <a href="http://www.spoonflower.com/fabric/1051265">this</a> in mind (though she could be expecting a magician to have real gold!). Does she think all magicians wear the same; or if it matters to which magic school they went (like a uniform) or what their specialist area of magic was (alchemy etc)?
It would probably also be different for you if it wasn't black and white (more so than if merely reversed). If the Y was very close to the colour of the cross/leaves rather than being the same as the stars, then it should only give you the sense of division rather than tagging along with you wanting to see the stars as the foreground. Individual people's mileage is always going to vary on such matters.
Well the "Y" of the original triangle doesn't have to be there. It can be missed out entirely - although that does leave something of a void. It can be left as a triangle. Or it can be turned into a form of 3-point star (which is only a bit fatter than the Y). You can also join it up - destroying the mirror reflection but not the triads by doing that on just one side of each "arm".
I definitely prefer this version. The Y shape in the other diminishes my joy ;o) I understand the Y when I look at the black as the figure rather than the ground, and I enjoy the fact that the crosses are each sharing a 'limb' there - but my eye always wants to see the stars as figure... and therefore the Y. Hmm.... <p>
Magician's robe would be supercool too. My daughter (who has been borrowing library books on magic lately) suggests that for a magician's robe it should be golden stars on a deep purple-blue background. But I think a curvaceous evening gown would be eye-popping in the black and white...
<a href="http://www.spoonflower.com/fabric/1049125">Here</a> is the equivalent triad one for you to see. I had started out setting up collections for the various lattices early on but ended up getting too busy with other stuff to finish settling on how best to organise them, let alone populating them with the various designs!
<br><br>"a fancy fitted dress" - or a magician's robe. ;-)
That's OK. It seems more like I'm diminishing <i>your</i> joy. I'm glad you do know the difference really, though, even if the proper worms escape you. The tessellation aspect per se isn't the problem but the repeating lattice part is. Hence Penrose tiles can have 5-fold symmetry as long as they ditch having a repeated lattice.
Yeah, I knew you'd point that out. I really was a weaving major in college, and I don't have all the right mathematical terms, and I didn't stop to think out my words. I just like the fact that there are five-pointed stars placed nicely into a repeating design and I like the shapes of the negative space. I'm sorry for not having the right vocabulary for expressing my enthusiasm, maybe I should just say something safe like "nice design" instead of diminishing your joy by using the wrong words. Sigh.
There are no plane tessellations which really include 5-fold symmetry - it's mathematically impossible. They can only include local hints of a pentad before it gets broken in translation. This one is really just tetrads. There's a nice triad version of the pentangle stars which I ought to upload some time though. The diad ones are a bit dull in comparison.
ooh nice. I always love tesselations that manage to include five-fold symmetry - so much richer and more interesting than the easy ones. I like the crosses that leap out and recede again between the stars - and how I can almost (but not quite) reverse the figure and ground looking at it. Someone ought to make a fancy fitted dress out of it - so eyecatching. (but not me, I don't have the figure to pull it off...)
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