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>ℤ</mo><mo>[</mo><mi>φ</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