Earlier this year the Scientific Director at my day job moved on to a new post. As well as a big collective leaving present, some of us thought we'd like to give him more personal souvenirs of his time at ICMS. One of my colleagues suggested I knit him a new hat to wear while standing outside on his cigarette breaks. So this is what I came up with. As a hat for a mathematician, of course there are mathematical features - simple ones that could be made quickly and which don't detract from a classic shape. There are powers of two in the rib, the Fibonacci sequence in the sides and then a seven-sided (heptagonal) crown.

It's knitted in the round with one skein of Rowan's Lima, an amazingly soft, baby alpaca yarn that's approximately aran weight. I picked this colour because it's similar to the ICMS logo colours but it's much richer, with a lot of detail in the drifting shades. Different yarns will work but beware of tension etc. I don't have the hat anymore so can't measure it to give you a tension measurement. The yarn I used came out soft and slouchy but others will give different textures. I like to experiment so I'll probably make at least one more in a quite different yarn and see what happens. Here's what I did for this one though.

Cast on 84 stitches with 5.5mm dpns and join in a circle and place marker for start of round.

Work 2 plain, 2 purl rib for 8 rounds.

[that's your powers of two - 2x2 for 2-cubed rounds]

Work 2 plain, 2 purl rib for 8 rounds.

[that's your powers of two - 2x2 for 2-cubed rounds]

Knit 1 round

Purl 1 round

Knit 2 rounds

Purl 3 rounds

Knit 5 rounds

Purl 8 rounds

Knit 13 rounds

[alternating knit and purl stripes following Fibonacci sequence - each width is the sum of the previous two]

Purl 1 round

Knit 2 rounds

Purl 3 rounds

Knit 5 rounds

Purl 8 rounds

Knit 13 rounds

[alternating knit and purl stripes following Fibonacci sequence - each width is the sum of the previous two]

Purl one round

[this defines the edge of the crown]

[this defines the edge of the crown]

Heptagonal crown rounds

1. knit 10, knit two together 7 times

2. knit to marker

3. knit 9, knit two together 7 times

4. as row two

5. knit 8, knit two together 7 times

6. as row two

7. knit 7, knit two together 7 times

8. as row two

9. knit 6, knit two together 7 times

10. as row two

11. knit 5, knit two together 7 times

12. as row two

13. knit 4, knit two together 7 times

14. as row two

15. knit 3, knit two together 7 times

16. as row two

17. knit 2, knit two together 7 times

18. as row two

19. knit 1, knit two together 7 times

20. as row two

21. knit two together 7 times

1. knit 10, knit two together 7 times

2. knit to marker

3. knit 9, knit two together 7 times

4. as row two

5. knit 8, knit two together 7 times

6. as row two

7. knit 7, knit two together 7 times

8. as row two

9. knit 6, knit two together 7 times

10. as row two

11. knit 5, knit two together 7 times

12. as row two

13. knit 4, knit two together 7 times

14. as row two

15. knit 3, knit two together 7 times

16. as row two

17. knit 2, knit two together 7 times

18. as row two

19. knit 1, knit two together 7 times

20. as row two

21. knit two together 7 times

Thread last remaining 7 stitches onto yarn, pull tight and fasten off. Weave in the ends and your hat is finished.

If you have a go at making one I'd love to see it.

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