feat: put the demo in the VitePress site

[samestep]

Description

Following up on #1172, this PR replaces the big logo on our homepage with a live demo component like we had before.

Checklist

• I have commented my code, particularly in hard-to-understand areas
• My changes generate no new ESLint warnings
• I have reviewed any generated registry diagram changes

Open questions

• The specific diagrams we use here could be improved. Most of them have too-small text and don't look great in dark mode. We can make them more presentable for the homepage in a followup.

[github-actions]

± Registry diff

📊 Performance

Key

Note that each bar component rounds up to the nearest 100ms, so each full bar is an overestimate by up to 400ms.

     0s   1s   2s   3s   4s   5s   6s   7s   8s   9s
     |    |    |    |    |    |    |    |    |    |
name ▝▀▀▀▀▀▀▀▀▀▀▀▚▄▄▄▄▄▄▄▄▄▞▀▀▀▀▀▀▀▀▀▀▀▀▚▄▄▄▄▄▄▄▄▄▖
      compilation labelling optimization rendering

Data

                                        0s   1s   2s   3s   4s   5s   6s   7s   8s   9s
                                        |    |    |    |    |    |    |    |    |    |
3d-projection-fake-3d-linear-algebra    ▝▀▚▚
allShapes-allShapes                     ▝▀▀▀▄▚▄
arrowheads-arrowheads                   ▝▀▀▞▖
circle-example-euclidean                ▝▀▀▀▀▀▀▀▞▀▀▀▖
collinear-euclidean                     ▝▀▀▀▀▀▞▖
congruent-triangles-euclidean           ▝▀▀▀▀▀▀▀▀▀▀▀▀▚▚
continuousmap-continuousmap             ▝▀▀▚▚
hypergraph-hypergraph                   ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▞▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▚
incenter-triangle-euclidean             ▝▀▀▀▀▀▀▀▚▚
lagrange-bases-lagrange-bases           ▝▀▀▚▚
midsegment-triangles-euclidean          ▝▀▀▀▀▀▀▀▞▖
non-convex-non-convex                   ▝▀▀▀▀▀▀▚▚
one-water-molecule-atoms-and-bonds      ▝▀▞▖
parallel-lines-euclidean                ▝▀▀▀▀▀▚▚
persistent-homology-persistent-homology ▝▀▀▀▀▀▀▀▀▀▚▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▄
points-around-line-shape-distance       ▝▀▀▀▀▀▞▖
points-around-polyline-shape-distance   ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▚▚
points-around-star-shape-distance       ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▚▚
siggraph-teaser-euclidean-teaser        ▝▀▀▀▀▀▀▀▀▞▖
small-graph-disjoint-rect-line-horiz    ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▚▚
small-graph-disjoint-rects              ▝▀▀▞▖
small-graph-disjoint-rects-large-canvas ▝▀▀▞▖
small-graph-disjoint-rects-small-canvas ▝▀▀▞▖
tree-tree                               ▝▀▀▚▚
tree-venn                               ▝▀▀▀▀▀▚▞▖
tree-venn-3d                            ▝▀▀▀▀▚▚▄▖
two-vectors-perp-vectors-dashed         ▝▀▀▚▚
vector-wedge-exterior-algebra           ▝▀▀▚▚
wet-floor-atoms-and-bonds               ▝▀▀▀▞▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▖
word-cloud-example-word-cloud           ▝▀▀▀▀▀▀▀▚▚
wos-laplace-estimator-walk-on-spheres   ▝▀▀▀▀▀▀▀▀▀▀▀▚▚
wos-nested-estimator-walk-on-spheres    ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▞▀▀▀▀▀▀▀▀▀▖
wos-offcenter-estimator-walk-on-spheres ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▀▄▚
wos-poisson-estimator-walk-on-spheres   ▝▀▀▀▀▀▀▀▀▀▀▀▀▀▞▀▀▖

[codecov]

Codecov Report

Merging #1193 (2ce827b) into main (2870b5f) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main    #1193   +/-   ##
=======================================
  Coverage   62.86%   62.86%           
=======================================
  Files          59       59           
  Lines        7136     7136           
  Branches     1664     1664           
=======================================
  Hits         4486     4486           
  Misses       2565     2565           
  Partials       85       85           

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[cloudflare-pages]

Deploying with    Cloudflare Pages

Latest commit:	2ce827b
Status:	✅  Deploy successful!
Preview URL:	https://e37b34d7.penrose-72l.pages.dev
Branch Preview URL:	https://demo.penrose-72l.pages.dev

View logs

[joshsunshine]

Most of the examples displayed look crappy in dark mode. Can we temporarily remove all of the examples except the linear algebra teaser example and the venn diagram?