Gallery of New Geom-e-Tree and Twee Themes

This is a gallery of new themes we've added to Geom-e-Tree and Twee. Screenshots are from Tree unless otherwise noted (Twee). All Twee themes are included with Tree. Geom-e-Tree 1.3 has over 40 themes total.

Still images can't convey the dynamic you see when a tree's trunk and branches swell up as the tree is moved, or a swarm of nodes move from one pattern to another.

Please note — Things Change. A theme used here may have changed slightly since a screenshot was made, so the same exact image might not be reproduced with Geom-e-Tree 1.3. We will update this gallery as time permits. (It doesn't contain any screenshot of Version 1.2 themes!)

You can Like the GeomeTreeApp Facebook page, to keep up with developments.

John Miller
Portland
Friday, April 19, 2013


Allometric Lines

Allometric themes decrease (or increase) length AND width of lines by the common ratio. Two themes offer a choice of round or square line endcaps.

103

Interesting white space formed between the branches. [2,27°,1.603].

107

The classic binary tree!

110

Very delicate. It's interesting the way the tips of the branches line up with the sides of the branches.

188

Ternary Leaf? [3,108°,1.615]

205

Also classic.

222

A pattern replicated by many with computer graphics over the years. Also a 3D sculptural form.


Allometric and Cellular Dots

Dot themes show a variable- or fixed-size dot at each node of the tree. No lines are drawn. This theme is incredible. You may see all the dots merge into just a few, or arrange themselves in groups. When you "move" away from those arrangements, the groupings explode and the dots move on their way to some other such arrangement / grouping. This movement is apparent in some of the in-between shots.

  • Allometric Nodes - size of node varied by the common ratio.
  • Cellular Black (~2000, ~4000) - size of node does not vary.
  • Fundamental Particles - lots of small, colored dots.
  • Juggler - (Twee) A smaller number of colored balls.

I went a little overboard with dots. They may not look like much here... In many of these, thousands of dots are piled up under the few dots you see, in what I call a coincidence.

113

Binary Tree, 345°, with common ratio nearly 1. Both Allometric and Cellular themes produce the same pattern. (CR=1.0 results in same sized dots.)

136

Allometric Dots. Interesting spaces left inside hexagonal clusters. [3, 120°, 1.042]

137

Allometric Dots. This begs explanation! (Hint: it's #136 with a lower Common Ratio.)

138

Allometric Dots neatly coincide!

142

Cellular Dots starting to move away from a coincidence as the angle is changed.

144

Allometric Dots. I like the fields that seem to form around higher level nodes. See also 149 below.

149

Starting from a quinternary tree with the perfect reduction factor in Allometric Node theme, you see almost nothing. As you pinch the display, you feel like you are grabbing the fabric of the universe as form materializes out of thin air. #154 shows how this coalesces.

154

A coincidence. 5 Branches, 72°, Common Ratio is 0.995. Many dots piled up.

146

2D hierarchical structure. Looks like an oriental rug. When I first saw this it looked Chinese (I Ching) or perhaps like a perforated card of some kind.

151

One might expect to see a pentagram figure inside a pentagon formed by a 5-ary tree.

160

I love how the subtle difference in dot size communicates information.

162

This is #160 above with slight change in CR.

214

Fundamental Particles. Binary tree, 180° common ratio is 0.958!

218

Fundamental Particles theme. Look. See hidden dots? (I purposely made CR off just a bit so they are not perfectly stacked up.)

192

Fundamental Particles theme.

219

Fundamental Particles theme.

217

Juggler theme (Twee). This is a binary tree at 240° with CR 0.994. See #250 below.

250

Juggler theme (Twee). This is #217 at 250°... 10° different. You can see dots that were hidden in #217, and how they are moving away from that coincidence.


Branching Order

This theme colors Left vs Right, Left vs Middle vs right, ...

  • Tree - Narrow colored lines
  • Twee - Broad strips of colored paper

202

Ternary Tree. Here you can see that red goes straight ahead, while white goes left, and black goes right.

167

4 branches...

169

4 branches...

170

4 branches...

173

I'd say at least a branching factor of 6.

175

Obviously a binary tree. Which color is left, which is right? Hint: See #184, 176, or 177.

184

What does this remind you of?

176

Exercise left for the reader.

177

Jackson Pollock?

178

Haven't figured out what's going on here yet. Line caps will be rounded in the released version. See #185 below.

179

Ibid.

185

Branching Order theme for Twee. Uses shadows since there are just a few lines to draw..

174

Twee theme. Line caps will be rounded in the released version. See #185 above.

201

Twee theme, but running in Tree can have 4 branches.

190

Nice sea shell fractal pattern in the blackened areas.

210

Left and Right nicely sorted out.

204

I'm waiting for you to explain how a three-branched tree can make this five-pointed star. [3,144°,0.5].

209

Ternary Tree, 90°, Common Ratio 0.500.

212

No Notes Yet.

215

No Notes Yet.

216

No Notes Yet.


Lines and Nodes Themes

These themes consist of fixed-width lines with fixed-radius dots or circles at nodes.

  • Interior Nodes - no dots at leaf nodes or root node.
  • Ball & Stick toy
  • (rejected other ideas that turned out to not be interesting.)

119

Branching Nodes theme.

120

Branching Nodes theme.

121

Twee's Ball & Stick theme.


Other, Unique Themes

251

Green Phosphor - Tektronix 4010 CRT Graphics Terminal

252

Demo Tree - This is the Tree used in 'Geom-e-Tree in Action' on YouTube

253

Twiggy (Twee) - Like the India Ink theme, but with red twigs!


Late Arrivals

I came up with the Dendritic Group Theory (DGT) theme on February 19th, 2013! It's fun to see the little vectors zipping around as the tree moves.

254

DGT. Ternary tree... you can see how each node points to the nodes it is connected to. Well, if you start in the middle anyway!

255

DGT. Five-branched tree.

256

DGT. This is a binary tree. I love the way some of the nodes are lined up around the borders of the pattern.

257

Plastic Links theme. 2/21/2013. Uses alpha transparency of 70%. Palette may change. I've decided to include in Twee (as well as Tree).

More New Themes!

261

Colored Wafers - Circles are centered at branch midpoints, with the branch as the diameter!

262

Cosmic Circles - same geometry as Colored Wafers.

263

Three Ring Circus - same geometry as Colored Wafers. (With 3700 rings... should just be 370!)

264

Diametric Colored Nodes - Circles are centered at nodes, but with diameters equal to length of branches on next level. Got that?

265

Graph Theoretic - Classic Graph Theory - Trees with black nodes & edges. Twee will have Jr Graph Theory.

266

This theme is fun to play with because leaf-nodes-on-other-branches creates surprising geometric figures. The whole is greater than the parts. What about those nodes in the middle of the star? Where did they come from? I guess you'll just have to try it and see.


Other Screenshots

147

The Send/Save tab of Geom-e-Tree. Note the new Tab Bar icons for Help and Themes. These were done for PolygonFlux by Gus Miller. He did the Tree and Arboretum icons for the current version of Tree.

165

Another Send/Save tab of Geom-e-Tree.

193

Colorful Arboretum! This shows how the thumbnail images now accurately represents all geom-e-trees. Version 1.2 did not do so well.

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