Skip to content

Commit a0eaf39

Browse files
authored
Merge pull request #1060 from vorth/sumac-final
final slides for SUMaC
2 parents 4d3ae62 + a0980fd commit a0eaf39

File tree

3 files changed

+60
-44
lines changed

3 files changed

+60
-44
lines changed

website/assets/12fold-tiling.png

Lines changed: 3 additions & 0 deletions
Loading
Lines changed: 3 additions & 0 deletions
Loading

website/docs/SUMaC-2025/index.html

Lines changed: 54 additions & 44 deletions
Original file line numberDiff line numberDiff line change
@@ -12,6 +12,12 @@
1212

1313
<style>
1414
.mathpad { margin: 8px; }
15+
16+
img, picture, video, canvas, svg {
17+
display: block;
18+
max-width: 100%;
19+
}
20+
1521
</style>
1622

1723
<section id="title">
@@ -48,48 +54,9 @@ <h3>What is vZome?</h3>
4854
</section>
4955

5056
<section id="three-cards">
51-
<h3>Drawing Geometric Figures</h3>
57+
<h3>Drawing Polygonal Geometric Figures</h3>
5258
<div style="margin: 1em;">We use vectors to encode the parts of the figure.</div>
5359
<div style="margin: 1em;">Linear transformations (scaling, translation, and rotation) give us symmetry, similarity, and proportion.</div>
54-
<div style="display: grid; grid-template-columns: 8rem 8rem 8rem; gap: 2em; height: 12rem; margin-left: 3rem;">
55-
<div>
56-
<img src="https://github.com/user-attachments/assets/879c2d47-74d8-4a3e-b576-332ad06a1524" />
57-
</div>
58-
<div class="next">
59-
<img width="351" alt="12fold-tiling" src="https://github.com/user-attachments/assets/fb9f91bf-cba8-4ad8-a6b8-1aa57092b353" />
60-
</div>
61-
<div class="next">
62-
<img src="https://nbviewer.org/github/vorth/ipython/blob/master/plasticFractal-01.png" alt="plastic-fractal">
63-
</div>
64-
</div>
65-
</section>
66-
67-
<section id="rings-rich">
68-
<h3>Kinds of Numbers</h3>
69-
<ul>
70-
<li>Real numbers can represent anything, but computations can introduce roundoff error, and nothing is ever exact.</li>
71-
<br>
72-
<li>Integer arithmetic is exact, but limits our geometry considerably.</li>
73-
<br>
74-
<li>There is an alternative: number systems that we can use exactly, but still give more expressiveness than integers.</li>
75-
</ul>
76-
</section>
77-
78-
<section id="dodec-coords">
79-
<figure>
80-
<div style='z-index: 1; margin-inline: 1em;'>
81-
<vzome-viewer-previous viewer='Dodecahedron-coordinates' load-camera='true' label='previous'></vzome-viewer-previous>
82-
<vzome-viewer-next viewer='Dodecahedron-coordinates' load-camera='true' label='next'></vzome-viewer-next>
83-
</div>
84-
<vzome-viewer style="width: 100%; height: 100%" labels="true" show-perspective="false"
85-
indexed='true' id="Dodecahedron-coordinates"
86-
src="https://vorth.github.io/vzome-sharing/2025/02/19/16-17-17-758Z-Dodecahedron-coordinates/Dodecahedron-coordinates.vZome" >
87-
</vzome-viewer>
88-
</figure>
89-
</section>
90-
91-
<!-- <section>
92-
<h3>Linear Transformation</h3>
9360
<div style="margin-left: 2em;">
9461
<math>
9562
<mrow>
@@ -146,7 +113,50 @@ <h3>Linear Transformation</h3>
146113
</mrow>
147114
</math>
148115
</div>
149-
</section> -->
116+
<div style="margin: 1em;">What sorts of figures can we create?</div>
117+
</section>
118+
119+
<section id="plastic-fractal">
120+
<figure>
121+
<img style="object-fit: contain;" src="https://nbviewer.org/github/vorth/ipython/blob/master/plasticFractal-01.png" alt="plastic-fractal">
122+
</figure>
123+
</section>
124+
125+
<section id="plastic-fractal">
126+
<figure>
127+
<img style="object-fit: contain;" alt="12fold-tiling" src="../assets/12fold-tiling.png" />
128+
</figure>
129+
</section>
130+
131+
<section id="plastic-fractal">
132+
<figure>
133+
<img style="object-fit: contain;" src="../assets/all-61-zonohedron-smallest.png" alt="zonohedron">
134+
</figure>
135+
</section>
136+
137+
<section id="rings-rich">
138+
<h3>Kinds of Numbers</h3>
139+
<ul>
140+
<li>Real numbers can represent anything, but computations can introduce roundoff error, and nothing is ever exact.</li>
141+
<br>
142+
<li>Integer arithmetic is exact, but limits our geometry considerably.</li>
143+
<br>
144+
<li>There is an alternative: number systems that we can use exactly, but still give more expressiveness than integers.</li>
145+
</ul>
146+
</section>
147+
148+
<section id="dodec-coords">
149+
<figure>
150+
<div style='z-index: 1; margin-inline: 1em;'>
151+
<vzome-viewer-previous viewer='Dodecahedron-coordinates' load-camera='true' label='previous'></vzome-viewer-previous>
152+
<vzome-viewer-next viewer='Dodecahedron-coordinates' load-camera='true' label='next'></vzome-viewer-next>
153+
</div>
154+
<vzome-viewer style="width: 100%; height: 100%" labels="true" show-perspective="false"
155+
indexed='true' id="Dodecahedron-coordinates"
156+
src="https://vorth.github.io/vzome-sharing/2025/02/19/16-17-17-758Z-Dodecahedron-coordinates/Dodecahedron-coordinates.vZome" >
157+
</vzome-viewer>
158+
</figure>
159+
</section>
150160

151161
<section id="golden-ratio">
152162
<h3>The Golden Ratio</h3>
@@ -360,7 +370,7 @@ <h3>The Power of <math><mo>&Zopf;</mo><mo>[</mo><mi>&#966;</mi><mo>]</mo> </math
360370
</section>
361371

362372
<section id="vzome-fields">
363-
<h3>Symmetry in vZome</h3>
373+
<h3>Rings, Fields, and Symmetry in vZome</h3>
364374
<div style="margin-left: 2em;">
365375
Let's look at how these concepts manifest in <a href="http://vzome.com/app" target="_blank" rel="noopener noreferrer">vZome</a>.
366376
</div>
@@ -373,8 +383,8 @@ <h3>Octahedral Symmetry</h3>
373383
<br>
374384
<li>Analogues of the octahedron and cube in any dimension</li>
375385
<br>
376-
<li>Want scaling? Use dyadic rationals (another ring!)</li>
377-
<br>
386+
<!-- <li>Want scaling? Use dyadic rationals (another ring!)</li>
387+
<br> -->
378388
<li>Peter Pearce, <a href="https://pjpearcedesign.com/index.php/play/educational-toys-games/geometry-kits/" target="_blank" rel="noopener noreferrer">Synestructics SuperStructures</a></li>
379389
</ul>
380390
</section>

0 commit comments

Comments
 (0)