Welsh Mathematician walks in Cyberspace

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Welsh Mathematician walks in Cyberspace

• Alan Dix
• Lancaster University,
• vfridge and aQtive
• http//www.hiraeth.com/alan

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understanding space
real space
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understanding cyberspace
cyberspace
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sources
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sources
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Clay tablet map 2200 BC Yorghan Tepe,Iraq
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Egyptian garden 1400 BC garden of a high
court official of Amenhotep III at Thebes
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Wales John Speed1610
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drawings
cartographic (isomorphic)
cartographic (homomorphic)
schematic
linear
episodic
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journeys
always linear
Kendal
Manchester Airport
Newark
San Francisco
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labrynth
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2D/3D
but is it realand is it natural
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seeing in 3D which is closer?
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real is easy which is closer?
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2D navigation
walking vs. helicopter
Poincare property
tunnels and flyovers
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manipulate in 3D see in 2 1/2 D navigate in 2D
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properties of space
closeness and connectedness fixed
orientation/centre flat infinite objective
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closeness
metric spaces
D(a,c) ? D(a,b)D(b,c)
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connectedness
graph theory
arcs and points
architecture
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Hillier
space is the machine
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symmetry
directedgraphs
one-way streets
hyperlinks
symmetry
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fixed centre fixed orientation
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T-O mapof the world Isidore of Seville 560-636
AD
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Pietro Vesconte's World Maps, 1321, from Marino
Sanudo's Liber secretorum fidelium crusis
http//www.henry2ddavis.com/MAPS/LMwebpages/LM1.h
tml
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mappa mundi HerefordCathederal 1300 AD
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View of the World from 9th Avenue Saul Steinberg
1975
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Piaget could you see B from A
A
B
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Donaldson can Ann see Bob
Ann
Bob
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viewpoints
Bali - left/right/east/west Polynesia - what
moves CVE ...
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infinite space ... finite, or cyclic
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When we've been here ten thousand years, Bright
shining as the sun, We've no less days to sing
thy praise than when we first begun.
Amazing grace John Newton (1725-1807)
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The day thou gavest, Lord, is ended, The darkness
falls at they behest To thee our morning hymns
ascended, Thy praise shall sanctify our rest.
The day thou gavest, Lord, is ended, The darkness
falls at they behest To thee our morning hymns
ascended, Thy praise shall sanctify our rest. We
thank thee that thy church unsleeping, While
earth rolls onwards into light, Through all the
world her watch is keeping, And rests not now by
day or night. As o'er each continent and
island The dawn leads on, another day, The voice
of prayer is never silent, Nor dies the strain of
praise away. The sun that bids us rest is
waking Our brethren 'neath the western sky, And
hour by hour fresh lips are making Thy wondrous
doings heard on high. So be it, Lord thy throne
shall never, Like earth's proud empires, pass
away, Thy kingdom stands, and grows for
ever, Till all they creatures own thy sway.

The day thou gavest, Lord, is ended John Ellerton
(1829-93)
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We thank thee that thy church unsleeping, While
earth rolls onwards into light, Through all the
world her watch is keeping, And rests not now by
day or night.
The day thou gavest, Lord, is ended, The darkness
falls at they behest To thee our morning hymns
ascended, Thy praise shall sanctify our rest. We
thank thee that thy church unsleeping, While
earth rolls onwards into light, Through all the
world her watch is keeping, And rests not now by
day or night. As o'er each continent and
island The dawn leads on, another day, The voice
of prayer is never silent, Nor dies the strain of
praise away. The sun that bids us rest is
waking Our brethren 'neath the western sky, And
hour by hour fresh lips are making Thy wondrous
doings heard on high. So be it, Lord thy throne
shall never, Like earth's proud empires, pass
away, Thy kingdom stands, and grows for
ever, Till all they creatures own thy sway.

The day thou gavest, Lord, is ended John Ellerton
(1829-93)
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As o'er each continent and island The dawn leads
on, another day, The voice of prayer is never
silent, Nor dies the strain of praise away.
The day thou gavest, Lord, is ended, The darkness
falls at they behest To thee our morning hymns
ascended, Thy praise shall sanctify our rest. We
thank thee that thy church unsleeping, While
earth rolls onwards into light, Through all the
world her watch is keeping, And rests not now by
day or night. As o'er each continent and
island The dawn leads on, another day, The voice
of prayer is never silent, Nor dies the strain of
praise away. The sun that bids us rest is
waking Our brethren 'neath the western sky, And
hour by hour fresh lips are making Thy wondrous
doings heard on high. So be it, Lord thy throne
shall never, Like earth's proud empires, pass
away, Thy kingdom stands, and grows for
ever, Till all they creatures own thy sway.

The day thou gavest, Lord, is ended John Ellerton
(1829-93)
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flat space bent space
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Temple of Bel-Shamharoth, Discworld The floor
was a continuous mosaic of eight sided
tiles. Terry Pratchett, The colour of magic
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hyperbolic browser (inxight)
data mapped in hyperbolic space hyperbolic
spaceprojected into 2D
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stiching together
general relativity
curved space time differential geometry locally
euclidean patches smoothly joined
? cyberspace
local vs. global ...
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shapes of community
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vfridge collaboratively building structure in spa
ce
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close collaboration
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parallel reality
portals and gateways
coexistent worlds
mabinogionubiquitous computing
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in conclusion
theres more to space than three dimensions