================================== Top new questions this week: ================================== [How many triangles are there?]\url{http://mathematica.stackexchange.com/questions/59350/how-many-t riangles-are-there} Some time ago I found a puzzle and it stopped my work until I solved it. One of the possible solutions: Let us sum upright and upside down triangles whose top lies in the $i$-th row. $$ ... - asked by ybeltukov (22 votes), answered by george2079 (20 votes) ---------------------------- [Composition a la Mondrian] \url{http://mathematica.stackexchange.com/questions/59620/composition-a-la-mondrian} I would like to paint something like this or,even better, like this I have tried colors = {Red, Blue, Yellow, White, Black}; cells = ConstantImage[RandomChoice[colors], #] & /@ ... - asked by eldo (21 votes), answered by Simon Woods (11 votes) ---------------------------- [Homotopy Visualization]\url{http://mathematica.stackexchange.com/questions/59463/hom otopy-visualization} I noticed that both the lower cased 'i' and the Apple logo are topologically equivalent to the disjoint union of two closed discs. I'd like to animate a homeomorphism from the left to the right, ... - asked by Tobi Lehman (18 votes), answered by Michael E2 (28 votes) ---------------------------- [Finding all paths of certain length between vertices in path graph, non-simple ones too]\url{http://mathematica.stackexchange.com/questions/59554/finding-all-p aths-of-certain-length-between-vertices-in-path-graph-non-simple-o} First I will tell you what my ultimate goal is, because maybe there's another way of doing it other than what I am trying. I need a list of all $(a_1, a_2, \ldots, a_N)$ tuples that satisfy certain ... - asked by luke (12 votes), answered by ybeltukov (7 votes) ---------------------------- [How to manipulate a circle in GeoGebra style?]\url{http://mathematica.stackexchange.com/questions/59726/how-to-man ipulate-a-circle-in-geogebra-style} I want to emulate the GeoGebra app. I want to get an effect like this in Mathematica. I don't know how to move whole circle without changing the radius of the circle. My sample code: ... - asked by mathe (11 votes), answered by Kuba (5 votes) ---------------------------- [Splitting strings into letter keys and integers]\url{http://mathematica.stackexchange.com/questions/59690/splittin g-strings-into-letter-keys-and-integers} I have strings of the following form: string = "ABC123DEFG456HI89UZXX1"; Letter keys of variable lengths are followed by (positive) integers. I want to get this transformation: {{"ABC", 123}, ... - asked by eldo (11 votes), answered by RunnyKine (10 votes) ---------------------------- [Mathematica isn't sure whether a sum of two positives is positive or not]\url{http://mathematica.stackexchange.com/questions/59589/mathematica-i snt-sure-whether-a-sum-of-two-positives-is-positive-or-not} Mathematica is not able to tell whether a summation of two positive expressions is positive or not. Which is very strange. My three symbolic arguments, $x$, $y$, and $z$, are all real numbers bounded ... - asked by jim (10 votes), answered by Jens (9 votes) ================================== Greatest hits from previous weeks: ================================== [Generating visually pleasing circle packs]\url{http://mathematica.stackexchange.com/questions/40334/generating- visually-pleasing-circle-packs} EDIT: I want to thank you all guys for this unexpected intellectual and artistic journey. Hope you enjoyed as I did. I would like to generate a circle pack that mimics this: (don't pay attention on ... - asked by VividD (62 votes), answered by level1807 (39 votes) ---------------------------- [Finding real roots of negative numbers (for example, $\sqrt[3]{-8}$)]\url{http://mathematica.stackexchange.com/questions/3886/fi nding-real-roots-of-negative-numbers-for-example-sqrt3-8} Say I want to quickly calculate $\sqrt[3]{-8}$, to which the most obvious solution is $-2$. When I input $\sqrt[3]{-8}$ or Power[-8, 3^-1], Mathematica gives the result "$2 (-1)^{1/3}$". Not what I ... - asked by jtbandes (33 votes), answered by Brett Champion (13 votes) ================================== Can you answer these? ================================== [NIntegrate::ncvbr: How should we interpret and handle this error not mentioned in any documentation?]\url{http://mathematica.stackexchange.com/questions/59371/ni ntegratencvbr-how-should-we-interpret-and-handle-this-error-not-mentione d-i} I have some user-defined module describing my integrand which has to be computed numerically (it's much more complicated than this but bear with me): foo[x_?NumericQ, y_?NumericQ, z_?NumericQ] := ... - asked by Sarah (3 votes) ---------------------------- [How can I solve an equation where indexed variables get updated during iteration?]\url{http://mathematica.stackexchange.com/questions/59776/how-ca n-i-solve-an-equation-where-indexed-variables-get-updated-during-iterati on} I am trying to solve for a root for a certain equation, but some of the variables in this equation are indexed and get updated during iteration. The code that I am interested in is like the following: ... - asked by erickwy (1 vote) ---------------------------- [Generalize WASD Function First Person Viewing]\url{http://mathematica.stackexchange.com/questions/59655/generaliz e-wasd-function-first-person-viewing} How might I generalize the following WASD question such that it works with any Graphics3D object and includes q and e for z(up and down) movement? For example qweasd[gr_]. In addition, how might I ... - asked by Liam William (2 votes)