purplecat | Hyberbolic Plane, Negative Curvature 3:4

You're viewing

purplecat's journal
Create a Dreamwidth Account Learn More

Reload page in style: site light

This is basically the same as my last crochet effort, except a bit frillier, but I was experimenting with the knit-purl version of crotcheting.

This entry was originally posted at http://purplecat.dreamwidth.org/27876.html.

Flat | Top-Level Comments Only

From:

lukadreaming.livejournal.com

You can explain hyperbolic planes next time we meet *g*.

From:

wellinghall.livejournal.com

Probably better than I can. The amount I remember from my maths degree is a constant source of embarrassment to me.

From:

It's a frill, or at least a frill that is getting larger in a uniform fashion rather than being gathered at the top.

From:

lukadreaming.livejournal.com

Louise has already embarked on the maths for bunny-wunnies explanations for those of us with Eng Lit degrees and grade C maths O Levels from the dark ages *g*.

I now know what positive and negative curvature is *g*.

From:

`hyperbolic plane' is a fancy name for a frill. Playing with lines on hyperbolic planes gets a bit technical but just what one is, is a frill.

From:

lukadreaming.livejournal.com

*Squirrels latest bit of info away*

How do they relate, then, to the lines that don't meet? (And explain next time you see me if that's easier!)

From:

Well if you draw two "straight" lines on a hyperbolic plane which don't meet, they don't stay a uniform distance apart like "sensible" straight lines ought to.

I've put "straight" in quotes because they are straight lines as far as the frilly surface is concerned but you'd look at them and say "these lines are obviously curves". I'm trying to crotchet up a fairly large plane for you and then I'll put some "straight" lines on it and try to explain a bit better - like why I feel justified in asserting that the frill thinks an obviously curved line is straight.

From:

lukadreaming.livejournal.com

Got it. I think *g*.

Flat | Top-Level Comments Only

Profile

purplecat

May 2025

S	M	T	W	T	F	S
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	22	23	24
25	26	27	28	29	30	31

Tags

100 papers [10]
absent friends [2]
academia [87]
- dead scientists [2]
- edinburgh informatics [3]
- groups
  - dream [2]
- impact [1]
- public understanding [28]
  - lego rover [21]
- publications [50]
- scientists
  - aaron sloman [1]
  - alan bundy [4]
  - douglas hofstadter [1]
  - john mccarthy [2]
- talks [22]
- teaching [1]
administrivia [1]
agents of shield [1]
ai [28]
- agents [24]
  - ail [9]
  - bdi [11]
    - goals [2]
  - groups [3]
  - languages
    - agentspeak [1]
    - oopl [1]
  - organisations [3]
- automated reasoning [7]
  - rippling [1]
  - sat [1]
  - smt [1]
- ethics [7]
- explainability [2]
- hybrid systems [1]
- knowledge representation [1]
- lego robots [1]
- planning [1]
- robotics [4]
aisb [10]
amazon [1]
anecdote [1]
arthuriana [6]
bernice summerfield [6]
- review [5]
birthday [11]
books [54]
- author
  - andrew cartmel [3]
  - ben aaronovitch [4]
  - c s lewis [1]
  - charlotte bronte [1]
  - craig hinton [2]
  - david mcintee [1]
  - david whittaker [1]
  - dorothy l sayers [1]
  - iain m banks [2]
  - ian rankin [2]
  - j r r tolkien [1]
  - jacqueline rayner [2]
  - jane austen [1]
  - jeff vandermeer [1]
  - jim mortimore [1]
  - jonathan blum [2]
  - justin richards [3]
  - kate orman [2]
  - kelly hale [1]
  - lance parkin [4]
  - lawrence miles [6]
  - mags halliday [5]
  - malcolm hulke [1]
  - marc platt [2]
  - mark michalowski [3]
  - mary stewart [1]
  - megan whalen turner [3]
  - michael moorcock [2]
  - neal stephenson [3]
  - paul cornell [4]
  - paul dale smith [5]
  - paul magrs [11]
  - philip purser-hallard [10]
  - phyllis ann karr [1]
  - rob shearman [3]
  - rosemary sutcliff [2]
  - sara paretskey [1]
  - shakespeare [1]
  - simon guerrier [2]
  - terrance dicks [2]
  - terry pratchett [1]
  - tolkien [3]
castle [1]
christmas [2]
class [7]
- review [7]
computer science [15]
- complexity theory [4]
- game theory [5]
  - economics [1]
- np problems [1]
- verification [3]
  - induction [1]
conferences [3]
- aamas [1]
- arw [1]
- clima [1]
conventions [6]
- eastercon [11]
  - 2010 [2]
  - 2011 [4]
  - 2012 [1]
  - 2015 [1]
  - 2025 [1]
- lass o gowrie [1]
crochet [40]
- amigurumi [11]
- garment [5]
- moogly cal [8]
- non-euclidean [10]
current events [24]
dark [1]
- icons [1]
diary [14]
doctor who [965]
- books [45]
  - annual [8]
  - cover [50]
    - benny adventure [1]
    - eda [4]
    - misc [9]
    - missing adventure [1]
    - new adventure [10]
    - nuwho [2]
    - pda [7]
    - target [16]
  - edas [2]
  - nas [4]
  - new series [9]
  - pdas [1]
  - storybook [1]
  - time and relative disse [5]
- comic [11]
  - fifth doctor [2]
  - first doctor [3]
  - fourth doctor [2]
  - second doctor [2]
  - sixth doctor [2]
  - third doctor [1]
- costume bracket [116]
- factsheet [1]
- fandom [2]
- fanzine [8]
  - channel d [1]
  - dwb [2]
  - skaro [1]
  - tides of time [1]
  - web planet [4]
- fiction [1]
  - martha [1]
  - thirteen [1]
  - yaz [1]
- icons [66]
  - ace [1]
  - adric [1]
  - amy+rory+river [1]
  - barbara [1]
  - barbara+ian [1]
  - ben [1]
  - bill+nardole+twelve [1]
  - chang lee [1]
  - cybermen [1]
  - dalek [1]
  - dan [1]
  - doctor+master [1]
  - dodo [1]
  - eight [1]
  - eleven [1]
  - eleven+river [1]
  - faction paradox [1]
  - fifteen [1]
  - four [1]
  - four+leela [1]
  - four+sarah [1]
  - fugitive doctor [1]
  - graham+ryan [1]
  - harry [1]
  - ian [1]
  - ice warriors [1]
  - jamie [1]
  - jamie+victoria [1]
  - jamie+zoe [1]
  - jo [1]
  - katarina [1]
  - leela [1]
  - liz [1]
  - mel [1]
  - nardole [1]
  - nyssa [1]
  - one [1]
  - osgood [1]
  - peri [1]
  - polly [1]
  - romana [1]
  - romana1 [1]
  - romana2 [1]
  - ruby [1]
  - sara [1]
  - sarah [1]
  - sarah+three [1]
  - sea devils [1]
  - seven [2]
  - shalka [1]
  - silurians [1]
  - six [1]
  - sontarans [1]
  - steven [1]
  - susan [1]
  - tegan [1]
  - tegan+turlough [1]
  - the master [3]
  - thirteen+yaz [1]
  - three [2]
  - turlough [1]
  - two [1]
  - unit [1]
  - vicki [1]
  - victoria [1]
  - yaz [1]
  - zoe [1]
  - zygons [1]
- new series [6]
- nuwho rewatch [72]
- paper dolls [79]
- picture [213]
  - ainley master [2]
  - alien [1]
  - amy [1]
  - amy/rory [1]
  - barbara [1]
  - behind the scenes [13]
  - bill [1]
  - bonnie langford [1]
  - cast [3]
  - clara [1]
  - convention [1]
  - daphne ashbrook [1]
  - david tennant [1]
  - delgado master [3]
  - donna [2]
  - dvd cover [5]
  - dwm [4]
    - cover [2]
  - eighth doctor [1]
  - eleventh doctor [3]
  - eleventh doctor episo [6]
  - elizabeth sladen [1]
  - exhibition [1]
  - fanart [8]
  - fifth doctor [4]
  - fifth doctor episode [7]
  - fiftheenth doctor epi [1]
  - first doctor [4]
  - first doctor episode [16]
  - fourth doctor [5]
  - fourth doctor episode [7]
  - frazer hines [2]
  - fugitive doctor [1]
  - india fisher [1]
  - jamie [4]
  - jo [3]
  - joanna lumley [1]
  - jodie whittaker [4]
  - k9 [1]
  - leela [2]
  - martha [3]
  - matt smith [1]
  - mickey [1]
  - missy [1]
  - monster [13]
  - new adventures [1]
  - nicholas courtney [2]
  - nicola bryant [1]
  - ninth doctor [1]
  - ninth doctor episode [1]
  - patrick troughton [1]
  - paul mcgann [1]
  - pearl mackie [2]
  - peri [2]
  - peter capaldi [1]
  - production team [1]
  - puzzle [1]
  - river song [1]
  - romana [3]
  - romana 1 [1]
  - romana 2 [2]
  - rose [3]
  - rowan atkinson [1]
  - russell t davies [1]
  - sara [1]
  - sarah [4]
  - second doctor [6]
  - second doctor episode [7]
  - seventh doctor episod [6]
  - shalka doctor [1]
  - sixth doctor [5]
  - sixth doctor episode [4]
  - susan [1]
  - sylvester mccoy [2]
  - tardis [3]
  - tegan [2]
  - tenth doctor [2]
  - tenth doctor episode [9]
  - the brigadier [1]
  - the master [3]
  - theatre [2]
  - third doctor [5]
  - third doctor episode [2]
  - thirteenth doctor [2]
  - thirteenth doctor epi [2]
  - tom baker [2]
  - turlough [1]
  - tv movie [1]
  - twelfth doctor episod [3]
  - unit [1]
  - vicki [1]
  - victoria [3]
  - villain [1]
  - web planet [2]
  - william hartnell [2]
  - yaz [1]
  - zoe [1]
- rec [1]
- review [429]
  - book [34]
    - non-fiction [7]
  - film [1]
  - tv [395]
    - classic [150]
    - new new series [11]
    - new series [233]
- russell davies [3]
- steven moffat [2]
- the randomizer [152]
- verity podcast [1]
- whordle [4]
dolls [78]
- lego [5]
  - nasa [3]
- paper dolls [79]
dreamwidth [3]
edinburgh [8]
- festival [1]
exercise [18]
- running [37]
  - london marathon [19]
facebook [5]
faction paradox [3]
- review [3]
family [12]
- b [23]
  - animals [1]
  - dinosaurs [16]
  - fossils [4]
  - media stardom [19]
- cousins [1]
- days out [1]
- g [4]
  - school [1]
fandom [3]
fandom friday [2]
fandom stocking [1]
fanfiction [3]
feminism [5]
films [8]
follow friday [7]
food [51]
- heston blumenthal [1]
- recipe [40]
fools and heroes [11]
fossil friday [54]
friends [2]
genealogy [16]
granny's diary [5]
grimm [1]
- icons [1]
history [4]
holidays [57]
- cleveland way [5]
- cornwall [3]
- hadrian's wall [23]
- orkney [13]
- ridgeway [3]
- scotland [2]
- snowdonia [5]
- wales [2]
- west highland way [9]
house [16]
i have no tag for this [24]
i saw this last week [107]
icons [43]
- castle [1]
- ladybird books [1]
iris wildthyme [5]
- review [4]
jobs [3]
kin-strife [10]
linkspam [21]
livejournal [14]
lizzie bennet diaries [1]
mathematics [21]
- formal proof [1]
- logic [1]
- non-euclidean [10]
- philosophy [6]
  - proof [2]
- verification [1]
mcu [2]
- icons [1]
  - natasha [1]
media stardom [7]
meme [65]
meta [1]
model checking [4]
- systems
  - java pathfinder [3]
oxford [1]
performing [1]
- music [1]
philosophy [8]
- ai [2]
- ethics [2]
- mathematics [3]
picspam [102]
- castle [27]
- hobbit hole [6]
- house [2]
- prehistoric monument [93]
- roman remains [8]
- travel [57]
  - holidays [34]
  - work related [22]
pokemon go [2]
- icons [1]
primeval [59]
- fiction [1]
  - becker [1]
  - blade [1]
  - crossover [1]
  - lester [1]
  - ryan [1]
  - ryan/stephen [2]
- icons [4]
  - abby/ryan [1]
  - becker [1]
  - becker/lester [1]
  - becker/matt [1]
  - becker/ryan [1]
  - blade/lester [1]
  - claudia/lester [1]
  - connor [1]
  - connor/lester [1]
  - danny [1]
  - danny/ryan [1]
  - jess/ryan [1]
  - lester [1]
  - lester/ryan [1]
  - nick/stephen [1]
  - ryan [1]
- review [45]
programming [14]
- ail [1]
- languages
  - agentspeak [2]
  - jason [1]
  - java [5]
  - maude [2]
  - prolog [2]
projects
- eass [13]
- mcapl [13]
- platform grant [1]
- rais [2]
- verifiable autonomy [1]
- vps [2]
random doctor who picture [265]
random poetry [1]
rant [6]
reading listening watching [93]
rec [1]
- humour [1]
resolutions [14]
review [590]
- book [136]
  - non-fiction [37]
    - history [25]
      - science [9]
- comic [2]
- film [9]
- tv [409]
  - class [6]
  - internet [1]
  - merlin [2]
  - sarah jane adventures [5]
  - survivors [4]
roleplaying [24]
ros [1]
science [1]
science fiction [2]
science
- astronomy [1]
  - apod [1]
share
- twitter [2]
social networking [3]
- google+ [2]
- tumblr [1]
star wars [2]
- dolls [1]
  - lego [1]
the expanse [2]
- icons [1]
  - crew [1]
the prisoner [1]
- icons [1]
theorem proving [6]
- middle-out reasoning [3]
- proof planning [5]
  - critics [2]
  - rippling [3]
- proof specification lang [2]
- systems
  - isabelle [2]
  - isaplanner [4]
  - maude [1]
  - proof general [3]
- theory slicing [1]
- tptp thf [3]
throwback thursday [53]
- an oxford childhood [12]
- ancestors [3]
- arthurians [6]
- conventions [1]
- dad [3]
- docsoc [1]
- family [1]
- larp [3]
- oules [1]
- politics [1]
- running [1]
- wheatley [3]
tolkienery [7]
- fiction [1]
  - crossover [1]
  - sauron [1]
torchwood [5]
- review [13]
travel [65]
- commuting [2]
- work related [34]
traveller [6]
tv [29]
- blakes seven [1]
- buffy [1]
- firefly [2]
- sapphire and steel [1]
urban dead [5]
web stuff [1]
wierd spam [2]
world war z [1]
- fiction [1]
  - crossover [1]
writing [2]

Page Summary

lukadreaming.livejournal.com - (no subject)

Active Entries

Style Credit

Base style: Transmogrified by Yvonne
Theme: Sleeping Warrior by dancing_serpent

Expand Cut Tags

No cut tags