Tree by numbers

I was trying to do a new post every couple of weeks but I blinked and seven went by at high speed. Part of the whooshing sound they made on the way past included finishing off some stuff, putting off other stuff, making some random stuff out of the ordinary completely on a whim and a birthday with a rainbow cake (what else would she have?!)

The practice cake was less correct colours and had more interesting decoration (Tiny decorated that one herself) and the official one was only hampered slightly by the whole of the Shire (well the bits of it I looked in) suddenly not stocking food colouring anymore in between the time when I bought the stuff for the first one, used twice as much as I thought I would need and then went to look for more. I resorted to eBay and it turned out ok in the end. By the way, in case you were wondering, yes, my choice of where to live was entirely based on the name of the area with no consideration of the suitability and yes, it was just so that I could pretend to be a Hobbit for two years. Don’t tell the Man in the Shed, I don’t think he has noticed yet.

Here is the secret thing I was making for her, it matches the blanket pattern but has different colours. It’s a bit huge but she really likes it and it is in her rocking chair now.

The finished thing is the grey cardigan with the pockets. I have worn it quite a lot (about six and a half weeks worth) already although it is starting to get colder now (note the woolly socks) so I might not wear it so much for a while. I added in some lace ribbing round the bottom, partly because I was convinced the thing was going to roll up all the time and partly to make it a bit longer because I wasn’t sure about the length and it has turned out about right. I am really pleased with it although I think I would do the next size up another time. Mental note: don’t eat all the biscuits.

The random thing was that I saw a dream-catcher with a tree on it when I was looking for some craft to do with the Joeys and it got me thinking about Fibonacci numbers again so I started collecting some bits and pieces together while I thought about how to make it work.

If you don’t know about the Fibonacci sequence then The Rabbit Problem by Emily Gravett is a very good place to start. The short version is you start with two ones and add the two previous numbers together to get the next one – 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 and so on. I started to wonder whether you could make a tree that has a trunk with 55 strings that splits into two branches, one with 34 strings in and one with 21 strings in and then carries on splitting all the branches into smaller Fibonacci numbers until you get down to 55 branches that are all made of a single string. I did some scribbling. I thought I took a picture of my notes somewhere but they’ve been tidied up or recycled or something. There were a lot of notes though. And some circular graph paper.

And then I thought to do some research (if you count believing random things you read on the internet without checking them) and it turns out that real trees already had the same sort of idea. I love how much maths there is in nature, it’s almost as if someone made it that way on purpose… Some trees show the Fibonacci sequence in the number of branches that they have at any given point – suppose that when a tree puts out a new branch, that branch has to grow two months before it is strong enough to support a new branch itself. In  the first month you will have 1 branch, at the end of the second month that branch will split and you will have 2 branches, the new branch has to grow for a bit so the next month the original branch will split again but the new branch will not – 3 branches, the next month the first and second branch will split but not the newest one – 5 branches etc.

My tree has the sequence in the thickness of the branches going from the top down to the trunk and in the number of branches going up from the trunk out to the twigs. I’d be interested to see whether real plants follow some kind of tree equivalent of Kirchhoff’s Law (what goes in must come out) in terms of maybe the cross-sectional area of a given branch being equal to the sum of the cross-sectional area of that branch at a thinner point higher up plus any new branches that it has sprouted on the way but I suspect it might be a lot more difficult to measure.

I put one bead on each string (carefully planned for which size to put where, there were a lot of notes, remember?) and arranged them so that one bead is on each branch (except the single thickness ones) and also discovered that rather satisfyingly there are 21 branches with a thickness of 2 strings, 13 branches with a thickness of 3, 8 with a thickness of 5, 5 with a thickness of 8, 3 with a thickness of 13, 2 with a thickness of 21, 1 with a thickness of 34 and 1 with a thickness of 55.

If you are clever you might have noticed that that only makes 54 so there is one bead over which would be carried on to the next branch if my 55 thick branch were going to join into an 89 thick one.

I put the last bead down in the roots to look like a seed that this strange tree might have grown from. The roots are less orderly, I suppose I should have done the sequence going the opposite direction if I had been thinking about it properly but I didn’t. Also I definitely wasn’t trying to get it roughly symmetrical, that pleasing wonkiness is definitely a deliberate attempt to make it look more like a real tree. Definitely.

 

Busy doing nothing

I thought it must be about time to write a post, we seem to have been very busy the last few weeks but when I tried to remember what we have done I’m struggling to have come up with anything to write about, it has all been very ordinary things but there have been a lot of them. I’ve got an earworm of the song now, I only know the chorus really, I just looked up the rest of it and I like the line, ‘I must rehearse the songbirds, To see that they sing in key.’ I’ll have to learn the rest of it next time I have nothing to do.

Tiny was sick a couple of weeks ago. A week after that the Man in the Shed took Small and Tiny off on family camp with the Scouts, I still haven’t managed to remove all the mud from the strange places it has found its way into. I got out of camp by going on a training weekend for Joey Scout leaders (Joeys are the equivalent of Beavers in the UK) and it felt very odd to have a night to myself with nobody else in the house but I did enjoy the quiet. This week, when home was being hit by a bout of freezing weather just when it should be warming up, we got hit by a 39°C day just when I was getting used to it being in the 20s again and my body said, ‘No, too hot!’ and promptly sent me to sleep on the sofa all afternoon.

I got all my squares joined together, it didn’t take as long as I thought it might. I had to hold the yarn in my left hand to make the join work because you had to keep the working yarn under the bits you were joining and I usually hold it in my right hand, (I was going to say I hold it the wrong way but then I decided it isn’t wrong, just different and it works perfectly well most of the time) so I had the option of putting the yarn round to the underneath after every stitch or holding it in my other hand. The first couple of squares were slow going but once I had done a few it was quicker. The border wasn’t very interesting to do, most of the rounds have a spike stitch every fourth stitch which messed up my rhythm and slowed me down a little and the last round has 1408 stitches so it was a bit of a slog but I really like the way it looks. It fits nicely on the bed too but if I took a photo if it there then I would have to tidy up the rest of the room for you so here it is on the floor. You can click on the photo if you want to make it bigger.

The pretty cardigan with the pockets is coming along nicely. I got to the end of the body and because it is stocking stitch all the way down with an i-cord cast off it is a bit curly at the moment, I am really hoping that once it is blocked it won’t curl up so much but I am not sure. Maybe I’ll have to weigh down the pockets with all my pocket detritus, that ought to do the job.

The pockets made a lot of ends to sew in because you have to cut and rejoin the yarn in various places and I thought I would sew those ends in before I start the sleeves so instead of doing that I got distracted making a secret thing for Tiny’s birthday. The pattern matches her blanket but it is in different colours, here is how far I have got with it so far. I had to redo the back because I did the number of rows in the pattern and it was humongous (is that how you spell that? It doesn’t look right whatever letters I put) and when I checked the size of the squares for the front from the blanket I realised there was no way they would ever fit together and I unravelled a load of it and redid it smaller. The Man in the Shed earned himself a look by suggesting I could have measured it before I had done the whole square and made it the right size in the first place. He’s right really but don’t tell him or he will be smug about it.

The only other exciting news I can think of is that my mending and sewing pile has reached the critical mass where I decided I really should do something about it. At the moment it consists of a sleeping bag with a ripped seam, a pair of Small’s shorts with a hole in the bum, one of Tiny’s skirts which looks like it has been through a shredder (I’m not really sure it is mendable, maybe a patch will have to do), a hermit crab which I can see nothing wrong with but apparently is coming apart at the seams and has holes in, and a pile of Scout badges. A couple of them are Small’s and the rest are mine – having sent me on my training weekend to make my Gilwell woggle our group remembered that they ought to invest me and give me a scarf to put in the woggle and some badges to sew on. So now I’ve told you I am going to do the mending pile, I’ll have to get on and do it, won’t I?

We’re busy doing nothing,
Working the whole day through.
Trying to find lots of things not to do.
We’re busy going nowhere,
Isn’t it just a crime?
We’d like to be unhappy, but
We never do have the time.

In which there is a lot of sun

Nothing very much has happened this week. Small’s clarinet has progressed / regressed / digressed (choose a suitable verb) from Jingle Bells to Merrily We Roll Along with occasional bursts of Oh When the Saints (under protest) which if not more exciting are at least more seasonally appropriate and we’ve all been pootling about and slowly getting back into the term time routine. It’s an eleven week term this time, I think that might be a killer for us from the northern hemisphere who think eight weeks is a bit extreme!

The squares are slowly getting bigger, I have enlarged three quarters of them now, the pile on the right is the ones I have left to do. I think I am secretly just putting off the point where I have to join them together because the join in the pattern is a bit awkward. I could just do a different join but that would be cheating, wouldn’t it? I am looking at my pile of yarn and wondering whether I worked out the amounts I need properly, one of the colours that is finished now has a pleasingly small amount left over although it was a bit nerve-wracking while I was using it – I had to keep stopping to weigh the yarn and counting the squares left that needed that colour to see if I had done my calculations properly.

Things to be thankful for number two: The weather here means you can dry your washing (including big thick blankets, sleeping bags and children who fall in the sea) in hours rather than days and it is very good for blocking yarny things quickly. I finished Tiny’s blanket this morning and I am hopeful that it will be dry by bedtime.

The customer requested very firmly that the colours in the border should not go in the order stated in the pattern but in rainbow order with red on the outside and indigo in the middle. I explained that this would not quite be possible and we have settled for as close to rainbow order as we can get with ‘raspberry’ on the outside and ‘heather’ on the middle, it’s a bit heavy in the green section but I think it has more or less the desired effect.

Here is the knitting I promised to show you next time. My tension square came out exactly right first time on the size of needles listed in the pattern so I am a bit suspicious because that never happens and my tension squares always lie, I am not convinced that I won’t turn round one day and measure the cardigan and find out it is three times the size it should be. So far so good though. It is going to be a Luella cardigan by Suzie Sparkles, it’s quite slow because it is 4 ply yarn but it’s going a bit quicker now I have divided for the sleeves and don’t have 340 stitches to deal with. It has got a lace pattern on the yoke and is knit top down all in one piece, you go back and pick up the stitches for the sleeves later. It has got instructions for different length sleeves and pockets if you want them.

I have a thing about pockets, my favourite dress is the one with pockets and I have been known to buy men’s pyjamas just for the pockets. I like to have somewhere to shove my hands when I’m slouching along and to keep my useful bit of string, an interesting stone, a snotty tissue or two to mess up the load of washing and sometimes even knitting in (when it is small knitting and big pockets). I’m a bit ambivalent about the written pattern though, the lace part is written out very clearly but the rest of it could do with a bit more work, I don’t much like instructions like ‘Increase 13 stitches evenly along row’, whilst I am perfectly capable of working it out I sort of expect designers to do that bit for you especially if you are paying for the pattern. It is pretty though and it has pockets, did I mention that?

The pattern also doesn’t tell you the finished length and I normally add a couple of inches to things because of having a long back or a ‘low slung bum’, as my mum refers to it, (I think I have just got my body settings on a different aspect ratio to the one people use to design clothes) so I have been reading the pattern very slowly and scribbling numbers all way down the side to work out how many rows it has and how long it should turn out (assuming my tension square is not trying to deceive me) and where I could get away with adding a few rows without messing up the pockets.

It is one of those patterns that give you a load of instructions and then says ‘At the same time…’ and proceeds to give you a load more instructions so you have to remember which row you are up to with both lots of stuff. It usually involves lots of scribbled notes, swearing and unpicking the last seventeen rows to go back and put in the increase that you missed and wouldn’t, cosmically speaking, really matter if you left out but pride is at stake and it would be one stitch wider on the left than on the right and you would know, all the time you were wearing it that it wasn’t quite right. But it does have nice pockets and beautiful lace. I’m sure the best bit is the pockets. Or maybe the lace, I quite like that too.

I think there is a bit of a wobble near the end to do with how long it is by the time you reach the eleventh buttonhole but I think if you follow the instruction about the number of buttons and ignore the one about the length then it will end up being an inch or two longer than intended and with slightly deeper pockets so that suits me fine!

In which there is a well travelled cardigan

As previously mentioned I’m not that good at making the same thing more than once, the second one goes slower and slower and quite often stalls. I am an advocate of the two-at-a-time sock method for this very reason.  People sometimes say I should make things to sell but aside from the time-spent to price-that-people-would-pay ratio being an issue there is the problem that I find it really boring to repeat things (although for some reason squares for blankets don’t seem to fall into this category but don’t ask me why!) and for me the point of making stuff is to enjoy the making not to be a machine churning out lots of the same thing.

So when my mum asked me to make a cardigan for her the same as one of mine my heart sank, just a teeny bit, not very many people could get away with asking that but she’s my mum so she is one of the ones who can. She wanted it to be the same size too which also filled me with dread a little bit. I’m never great at getting the tension right on things, I’ve just got better at admitting when something isn’t going to fit and ripping out to start again and when I made the original cardigan I started it then realised the tension was not quite right, was too lazy to start again and decided to knit the 36 instead of the 34 because the drape of the fabric was ok and it turned out perfectly (it is my favourite cardigan, I wear it when I am nervous and have to look a bit smart or when I am pottering around in my jeans or over the top of my pyjamas sometimes and most of the time really) so the chances of duplicating this feat seemed pretty slim. Plus I didn’t write down what size needles I used in the end because I wasn’t expecting to make another one!

But she is my mum so I organised the wool with her, measured her very carefully and worked out she is not as tall as me so to leave out the extra length I had added into mine and that she is always cold so she might like long sleeves and said I would give it a go but it might take me a while. I managed to knit the whole thing whilst guiltily thinking I should take some proper pictures for the blog and then ploughed on with knitting it anyway because I was enjoying it so much so these are pictures that I took quickly on my phone just to send my mum some proof that I was really knitting it and not getting distracted with my squares. The pattern is Ysolda’s Pumkin Ale which has a really unusual construction and Ysolda is one of my favourite designers so maybe that is why I managed to knit it all without flagging, her patterns are always fun to make and the little details like the i-cord bind off on the edge and the way the cuff is joined on make them look really professional and I love it when there is no sewing up to do. When I wear mine I occasionally get a random knitter sidle up to me and say, ‘Did you knit that? It’s an unusual/interesting/beautiful/insert adjective of choice here pattern’ or ask me how the pattern works. 

I just spent an hour trying to get WordPress to arrange my pictures in a gallery – nicely but not too big and with the descriptions showing and it seems to be able to do one or the other but not both so here are all the pictures in one column because that is the only way I can get it to look tidy and display all the waffle so sorry it makes the post very long but I’ve had enough of it now and I’ve got some squares to make. Oh and some Smalls to play with before the sea of Lego drifts so far that I can’t reach the kettle. Maybe I can do both at once…

UPDATE: Also I just noticed if you are viewing it in an RSS feed thingy then the descriptions might not show up so have a look on the website instead, there should be a sentence or two to go with each photo but I don’t care enough to try and make it work properly any more!