Polyfoils are e-document processors that allow documents to branch, cycle, converge and run parallel versions through sequences like kPs, oPs, cPs, and mPs. kPs provide alternative content that branches off the core document and allows users to find their own path. oPs encircle core document pages at angles, allowing rotational access to tangential content. cPs represent cube-shaped sequences that can be rotated to access panels on different sides. mPs provide multiple complexity levels of content through parallel paracores. These Polyfoil sequences allow writers to include divergent ideas and readers to access information tailored to their needs and abilities.

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2. Polyfoils: PART 1
'Poly' means many, abundant, expresses volume.
'Foil' derives from 'foile', a leaf or sheet of paper, as in
foliage and phylum, branching of trees and history.
Polyfoils are e-document processors and readers. They
render documents of one length (albeit reflowable) that
expand in volume (envolume). They branch, cycle, bifurcate,
converge, run parallel versions, and more.
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3. Polyfoil Sequences: Essential
kP sequences parallel, split, and reconverge, from the side
of a linear core sequence, affording alternative, tangential,
divergent content on a path or paths.
oPs are encircling sequences, 2.5D content-bearing panels
on 3D n-Prisms, seen as users rotate around a linear core.
cP 2.5D panels are on polyhedrons that rotate in place.
mPs render core content at different complexity levels or
other criteria, on parallel paracores that link.
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4. kP Sequences
kPs provide alternative ideas, may extend indefinitely, ingress
to the core text, to another position in the same
kP,or another Polyfoil.
Kp content strands
let users find their
own path.
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5. kP Basic Action
p
1. A kP sequence egresses from
a core document's side. A cue
sign tells users that it contains
4 panels.
2. Users scroll sideways,
accessing a Kp content
sequence.
3. At the Kp's end, a map sign
lets users select their next
destination.
4. If users select it, they return to
a core page other than where
they started.
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6. kP Complex Action
As in the basic example, a 4 panel
kP sequence egresses from a core
page. However it then branches a 6
panel sequence that returns to a
later core page.
At the last kP panel, the
neighboring core page is
viewed at a recessed angle.
Other core pages, if visible,
may be tilted back and away.
A user selecting the branch scrolls vertically
to a first panel. The next panel approaches
at a skewed,
recessed angle.
. Further panels
render more
orthogonally.
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7. kP Sweet Spot: Writers
kPs free writers. Most write for an audience, not an individual.
Some readers want detail, simplicity or complexity, but not
others. Writers guess, hoping to satisfy most. It's suboptimal.
kPs are for tangential, divergent, and alternative content. A writer
works on two tracks and keeps both. One may be core, others
kPs. Instead of ignoring alternatives, follow them through, as kPs.
A kP document has easy navigation formats. Readers quickly
return to the core, or find an overves, explaining more witiew of kP
paths. Writers reach wider audienchout lengthening the core.
A kP document can hide equations from
novices, or hide novice tools from experts.
By publishers own reckoning, this
doubles audiences of science books.
According to publishers, every equation in a popular book cuts
readership by half. kPs let publishers to reach wider audiences.
When readers reject equations, it's because they're unintelligable.
Yet equations can usually be understood with inexact images and
metaphors. These may annoy experts who understand equations
already, for whom metaphors and images dumb down content.
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8. oP & cP Sequences
cP cube embedded in core.
cP functions combine panels
accessed in any direction.
oPs anchor to a a document page. They encircle it, each oP panel
reoriented in 3D space, with tangential, adjunctive, enriching content.
oPs lift content hitherto buried in lost chapters or forgotten files and
array it on
oPs next to
where it's
Introduced.
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9. An oP appears to the sides of a Document core page,
angled back.
A user rotates the oP into view, scrolling sideways.
A user can zoom out, thereby rendering the oP's prism
shape. The Document core may be visible as a page
sequence perpedicular to the oP.
oP Basic Action
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10. cP Basic Action
A cP's panels appear
at an acute backwards
angle. They represent
two sides of a cube.
An icon signifies the
cP's presence and
structure.
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A user scrolls sideways
to access the cP. The cP
cube rotates in place,
carving out a path within
a perpedicular document
sequence. As it rotates,
panel side edges loom,
blocking adjacent core
page views. The icon
tracks rotation status.

11. Let us now praise
famous books
Most famous nonfiction works are but partially read. eReaders like
Kindles give clues. Stephen Hawking's "A Brief History of Time" and
Thomas Picketty's "Capital in the 21st Century," were best sellers.
Readers penetrate neither much beyond introductions, according to
where people leave text highlights.
Nonfiction introductions give overviews, thesis statements, and
research summaries. Some do a good job describing a book's
concepts and chapters. But that fades. By page 160, many readers
forget how a chapter explained on page 12 makes sense.
Macroeconomics, cosmology, and cognitive science (subjects with
poorly read best-sellers) are compendia of ideas and facts. They
don't "tell a story," unless imposed. Chapter evidence builds a case.
gathering weight to reduce doubt. It may not have any special order.
oPs are a solution. A 30 page introduction, followed by 600 pages
broken in 18 chapters? A nightmare. Rotate from the introduction to
the chapter, and it makes sense. You can rotate back at any time.
oP Sweet
Spot:
People only read the introduction of famous
books. With oPs they can read the rest
without leaving the introduction.
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12. mP Sequences
mPs bear multiple versions of content. They may extend to different
lengths, but retain similar subjects, themes, or other attributes.
Educational mPs provide multiple strands having
different complexity,
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Content
bridges
link
different,
even
opposing
sequences
.
Education
mPs
provide
multiple
strands
having
different
complexity,

13. mP Sweet Spot: Education
Audiences of different capacities can access similar content; if
mP strands bear content at different read-levels, complexity, and
other audience dmensions. Each multicore strand is a paracore.
An mP educational Polyfoil delivers content about a specific
subject to multiple grade levels on the same platform. Each para-
core targets a specific grade. A geographic subject may be taught
in the 3rd, 7th, & 10th grades. Each higher grade content is more
complex. But a 7th grader may benefit from privately reviewing a
3rd grade paracore, while another may avoid boredom by reading
the 10th grade paracore. Neither student needs to request services,
because paracores are accessible as mPs.
mPs empower self-motivated learners. Like electrons leaping
orbitals, people tend to jump between knowledge levels. Sufficient
study can suddenly open our eyes to the pattern within. mPs allow
learners to slog through and, when it gels, jump to the next level.
.
Answer Common Core adaptive test questions
incorrectly, they get easier, if right, tougher.
eTextbooks tailor content adaptively with
Polyfoils, with paracores at different levels.
Teachers and students find what fits.
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