• Visualising the Colour Cube

    The $\text{RGB}$ cube model represents colours as vectors in a three-dimensional vector space, with red, green, and blue as orthogonal basis vectors. A triple $\text{rgb}(r, g, b)$ tells us how far along the red, green, and blue axis our colour is. Pure black is $\text{rgb}(0, 0, 0)$ and pure white is $\text{rgb}(1, 1, 1)$. Two…

  • Homogeneous Coordinate Weirdness

    If we plot 4000 points on the line segment from (-1, 0) to (0, 1), and transform each of them with $M = \begin{bmatrix}2 & 3 &4\\-1 & 0 & 0\\2&2&1\end{bmatrix}$, we get an initially surprising result: As we can see, something strange happens in the yellow region of the points. While the red-to-orange points…

  • Silicon Valley’s desperate search for love

    Most of [my] work at MIT and before that has been on robotics and autonomous vehicles. But now the dream is to create a system that you can love and that can love you back. Lex Fridman As a fellow computer science student I’m always saddened by Silicon Valley crowd’s desperate quest to find/create love…

  • Blender and MODO Addendum: Knife vs. Slice

    Since I only touched on the most basic functionality of Blender’s Knife tool in my last video I want to append an addendum showing its other features and how they compare in particular to MODO’s Slice tool – which is separate from the Edge Slice tool with the buggy “Multi-Slice” option I demonstrated in video…

  • Blender and MODO Quick Take: Knife vs. Multi-Slice

    Now so far for the most part MODO and Blender have come out roughly even for me. On some things, MODO had the slight edge, on others Blender had the slight edge. But I just encountered a tool where Blender’s implementation absolutely blows MODO’s out of the water – and that is Blender’s excellent Knife…